Mathematics of Finance

512 Practice MCQs available for CA Foundation

Paper

Paper 3: Quantitative Aptitude

Exam Weightage

12-16 Marks

Key Topics

Simple & Compound Interest, Annuity, Perpetuity

The most important mathematical chapter in the entire syllabus. It covers Simple Interest (SI), Compound Interest (CI), Nominal vs Effective rates, Present and Future Value, Annuities (Ordinary and Due), Sinking Funds, and Perpetuities. The concepts learned here are applied heavily in CA Intermediate and Final.

Exam Strategy Tip

Guaranteed 12-16 marks. Master your calculator! Learn the 'GT' and compound interest M+/M- tricks to solve annuity questions in 10 seconds without writing long formulas.

Comparison Tables

Simple Interest vs Compound Interest: CA Foundation MathsDirect Tax vs Indirect Tax: Core Differences in Public FinanceEquity Shares vs Preference Shares: Finance & Law Guide

All 512 Questions

3950
A sum of money invested in compounded interest doubles itself in four years. In how many years it becomes 32 times of itself as the same rate of compound interest?
MCQ
3951
The simple interest on 600\displaystyle 600 for 9 months is 27\displaystyle 27. Find the interest rate.
MCQ
3952
Miss Liza lent 4,000\displaystyle 4,000 in such a way that some amount was given to Mr. A at 3%\displaystyle 3\% p.a. S.I. and rest amount to was given to B at 5%\displaystyle 5\% p.a. S.I., the annual interest from both is 144\displaystyle 144. Find the amount lent to Mr. A.
MCQ
3953
A certain sum of money was put at S.I. for 2.5\displaystyle 2.5 years at a certain rate of S.I. p.a. Had it been put at 4%\displaystyle 4\% higher rate, it would have fetched 500\displaystyle 500 more. Find the sum of money.
MCQ
3954
Rs.1,25,000\displaystyle 1,25,000 is borrowed at compound interest at the rate of 2%\displaystyle 2\% for the 1st year, 3%\displaystyle 3\% for the second year and 4%\displaystyle 4\% for the 3rd year. Find the amount to be paid after 3 years.
MCQ
1175
If Rs. 1,000\displaystyle \text{Rs. }1,000 be invested at interest rate of 5%\displaystyle 5\% and the interest be added to the principal every 10\displaystyle 10 years, then the number in years in which it will amount to Rs. 2,000\displaystyle \text{Rs. }2,000 is:
MCQ
1177
If an amount is kept at S. I. it earns an interest of Rs. 600\displaystyle \text{Rs. }600 in first two years but when kept at compound interest it earns an interest of Rs. 660\displaystyle \text{Rs. }660 for the same period, then the rate of interest and principal amount respectively are:
MCQ
1178
If Rs. 10,000\displaystyle \text{Rs. }10,000 is invested at 8%\displaystyle 8\% p.a. compounded quarterly, then the value of the investment after 2\displaystyle 2 years is. (Given (1.02)8=1.171659)\displaystyle (1.02)^8 = 1.171659)
MCQ
1179
A bank pays 10%\displaystyle 10\% rate of interest compounded annually. A sum of Rs. 400\displaystyle \text{Rs. }400 is deposited in the bank. The amount at the end of 1\displaystyle 1 year will be
MCQ
1283
A man deposited Rs. 8,000\displaystyle \text{Rs. }8,000 in a bank for 3\displaystyle 3 years at 5%\displaystyle 5\% per annum compound interest, after 3\displaystyle 3 years he will get
MCQ
1184
If compound interest on a sum for 2\displaystyle 2 years at 4%\displaystyle 4\% per annum is Rs. 102\displaystyle \text{Rs. }102, then the simple interest on the same sum for the same period at the same rate will be
MCQ
1186
The effective rate of interest for one year deposit corresponding to a nominal 7%\displaystyle 7\% rate of interest per annum convertible quarterly is
MCQ
1187
How much will Rs. 25,000\displaystyle \text{Rs. }25,000 amount to in 2\displaystyle 2 years at compound interest if the rates for the successive years are 4%\displaystyle 4\% and 5%\displaystyle 5\% per year
MCQ
1188
Rs. 8,000/−\displaystyle \text{Rs. }8,000/- at 10%\displaystyle 10\% p.a. interest compounded half yearly will become at the end of one year
MCQ
1190
A sum of money amount to Rs. 6,200\displaystyle \text{Rs. }6,200 in 2\displaystyle 2 years and Rs. 7,400\displaystyle \text{Rs. }7,400 in 3\displaystyle 3 years as per S.I. then the principal is
MCQ
1191
A sum was invested for 3\displaystyle 3 years as per C.I. and the rate of interest for first year is 9%\displaystyle 9\%, 2nd\displaystyle 2^{nd} year is 6%\displaystyle 6\% and 3rd\displaystyle 3^{rd} year is 3%\displaystyle 3\% p.a. respectively. Find the sum if the amount in three years is Rs. 550\displaystyle \text{Rs. }550?
MCQ
1192
If P=Rs. 5,000\displaystyle P = \text{Rs. }5,000 R=15%\displaystyle R = 15\% T=412\displaystyle T = 4 \frac{1}{2} years using i=PTR100\displaystyle i = \frac{PTR}{100} then I\displaystyle I will be
MCQ
1193
The effective rate of interest does not depend upon
MCQ
1194
If P=Rs. 2,96\displaystyle P = \text{Rs. }2,96, and R=8%\displaystyle R = 8\% compounded annually then P=\displaystyle P =
MCQ
1195
In SI if the principal is Rs. 2,000\displaystyle \text{Rs. }2,000 and the rate and time are the roots of the equation x2−11x+30=0\displaystyle x^2 - 11x + 30 = 0 then SI is
MCQ
1196
A man invests Rs. 12,000\displaystyle \text{Rs. }12,000 at 10%\displaystyle 10\% p.a. and another sum of money at 20%\displaystyle 20\% p.a. for one year. The total investment earns at 14%\displaystyle 14\% p.a. simple interest the total investment is:
MCQ
1198
Find the effective rate of interest on Rs. 10,000\displaystyle \text{Rs. }10,000 on which interest is payable half yearly at 5%\displaystyle 5\% p.a.
MCQ
1372
What will be the population after 3\displaystyle 3 years when present population is Rs. 25,000\displaystyle \text{Rs. }25,000 and population increases at the rate of 3%\displaystyle 3\% in 1st\displaystyle 1^{st} year, at 4%\displaystyle 4\% in 2nd\displaystyle 2^{nd} year and 5%\displaystyle 5\% in 3rd\displaystyle 3^{rd} year?
MCQ
1201
The value of scooter is Rs. 10,000\displaystyle \text{Rs. }10,000 find its value after 7\displaystyle 7 years if rate of depreciation is 10%\displaystyle 10\% p.a.
MCQ
1202
SI =0.125P\displaystyle = 0.125P at 10%\displaystyle 10\% p.a. Find time.
MCQ
1203
Scrap value of a machine valued at Rs. 10,00,000\displaystyle \text{Rs. }10,00,000, after 10\displaystyle 10 years within depreciation at 10%\displaystyle 10\% p.a.:
MCQ
1204
The difference between CI and SI for 2\displaystyle 2 years, is Rs. 21\displaystyle \text{Rs. }21. If rate of interest is 5%\displaystyle 5\% find principal
MCQ
1205
On what sum will the compound interest at 5%\displaystyle 5\% per annum for 2\displaystyle 2 years compounded annually be 3,280\displaystyle 3,280?
MCQ
1206
An amount P\displaystyle P becomes 5,100.5\displaystyle 5,100.5 and 5,203\displaystyle 5,203 after second and fourth years respectively at 1%\displaystyle 1\% of interest per annum compounded annually. This value of P\displaystyle P and R\displaystyle R are
MCQ
1207
A certain sum invested at 4%\displaystyle 4\% per annum compounded semi-annually amounts to 1,20,000\displaystyle 1,20,000 at the end of one year. Find the sum:
MCQ
1209
An amount is lent at a nominal rate of 4.5%\displaystyle 4.5\% per annum compounded quarterly. What would be the gain in rupees over when compounded annually?
MCQ
1210
What sum of money will produce 42,800\displaystyle 42,800 as an interest in 3\displaystyle 3 years and 3\displaystyle 3 months at 2.5%\displaystyle 2.5\% p.a. simple interest?
MCQ
1211
The ratio of principal and the compound interest value for three years (compounded annually) is 216:127\displaystyle 216:127. The rate of interest is:
MCQ
1212
A certain sum amounted to 575\displaystyle 575 at 5%\displaystyle 5\% in a time in which 750\displaystyle 750 amounted to 840\displaystyle 840 at 4%\displaystyle 4\%. If the rate of interest is simple, find the sum -
MCQ
1213
Find the amount of compounded interest, if an amount of 50,000\displaystyle 50,000 is deposited in a bank for one year at the rate of 8%\displaystyle 8\% per annum compounded semiannually
MCQ
1214
The population of a town increase by 2%\displaystyle 2\% of the population at the beginning of the year. The number of year by which the total increases in population would be 40%\displaystyle 40\% is:
MCQ
1215
Two equal amounts of money are deposited in two banks each at 15%\displaystyle 15\% p.a. 3.5\displaystyle 3.5 year in the bank and for 5\displaystyle 5 years in the other. The difference between the interest amount from the bank in 144\displaystyle 144. Find the sum
MCQ
1217
Which is a better investment 9%\displaystyle 9\% p.a. compounded quarterly or 9.1%\displaystyle 9.1\% p.a. simple interest?
MCQ
1218
The effective rate of interest corresponding to a nominal rate of 7%\displaystyle 7\% p.a. compounded quarterly
MCQ
1220
A sum of money is lent at C.I. rate 20%\displaystyle 20\% p.a. 2\displaystyle 2 years. It would fetch 482\displaystyle 482 more if the interest is compounded half yearly. The sum is:
MCQ
1221
What 'I\displaystyle I' denote the actual rate of interest in decimal, and 'n\displaystyle n' denote the number of conversion periods, the formula for computing the effective rate of interest E\displaystyle E is given by.
MCQ
1222
The effective rate of return for 24%\displaystyle 24\% per annum convertible monthly is given as:
MCQ
1224
A sum of 7,500\displaystyle 7,500 amounts to 9,075\displaystyle 9,075 at 10%\displaystyle 10\% p.a., interest being compounded yearly in a certain time. The simple interest on the same sum for the same time and the same rate is:
MCQ
1226
What is the difference (in )betweenthesimpleinterestandthecompoundinterestonasumof\displaystyle ) between the simple interest and the compound interest on a sum of8,000for\displaystyle for2\frac{1}{2}yearsattherateof\displaystyle years at the rate of10\%$ p.a. when the interest is compounded yearly?
MCQ
1227
A sum of x\displaystyle x amounts to 27,900\displaystyle 27,900 in 3\displaystyle 3 years and to 41,850\displaystyle 41,850 in 6\displaystyle 6 years at a certain rate percent per annum, when the interest is compounded yearly. The value of x\displaystyle x is:
MCQ
1231
An amount is lent at R%\displaystyle R\% simple interest for R\displaystyle R years and the simple interest amount was one-fourth of the principal amount. Then R\displaystyle R is
MCQ
1232
A sum of money is put at 20%\displaystyle 20\% compound interest rate p.a. at which year the aggregated amount just exceeds the double of the original sum?
MCQ
1233
In how much time a sum of amount doubles at simple interest at 12.5%\displaystyle 12.5\% rate?
MCQ
1234
The effective rate of interest corresponding to a nominal rate of 7%\displaystyle 7\% p.a. convertible quarterly.
MCQ
1235
A machine worth 4,90,740\displaystyle 4,90,740 is depreciated at 15%\displaystyle 15\% on its opening value each year. When would its value reduce to 2,00,750\displaystyle 2,00,750?
MCQ
1236
If 64\displaystyle 64 amount to 83.20\displaystyle 83.20 in 2\displaystyle 2 years, what will 86\displaystyle 86 amount to in 4\displaystyle 4 years at the same Rate percent per annum?
MCQ
1238
The effective annual rate of interest corresponding to a normal rate of 6%\displaystyle 6\% per annum payable half yearly is:
MCQ
1240
A sum of money invested compound interest double itself in four years. In how many years it become 32\displaystyle 32 times of itself at the same rate of compound interest?
MCQ
1241
The difference between compound interest and simple interest on an amount of 15,000\displaystyle 15,000 for 2\displaystyle 2 years is 96\displaystyle 96. What is the rate of interest p.a.?
MCQ
1242
A sum of money doubles itself in 4\displaystyle 4 years at certain compound interest rate. In how many years this sum will become 8\displaystyle 8 times at the same compound interest rate?
MCQ
1243
Mr. Ram invested a total of 1,00,000\displaystyle 1,00,000 in two different banks for a fixed period. The first bank yields an interest of 9%\displaystyle 9\% p.a. and second, 11%\displaystyle 11\% per annum. If the total interest at the end of one year is 9.75%\displaystyle 9.75\% p.a., there the amount invested in these banks are respectively:
MCQ
1244
The nominal rate of interest is 10%\displaystyle 10\% per annum. The interest is compounded quarterly. The effective rate of interest per annum will be:
MCQ
1246
A machine depreciates 10%\displaystyle 10\% of its value at the beginning of the year. The cost and scrap value realized at the time of sale being 23,240\displaystyle 23,240 and 9,000\displaystyle 9,000 respectively. Approximately, for how many years the machine is put to use?
MCQ
1247
The population of a town increases every year by 2%\displaystyle 2\% of the population at the beginning of that year. The approximate number of years by which the total increase of population will be 40%\displaystyle 40\%, is (Given 1.02x=1.17166\displaystyle 1.02^x = 1.17166)
MCQ
1248
The compound interest on 15,625\displaystyle 15,625 for 9\displaystyle 9 months at 16%\displaystyle 16\% per annum compounded quarterly is:
MCQ
1249
Jonny wants to have 2,00,000\displaystyle 2,00,000 in his saving account after three years. The rate of interest offered by bank is 8%\displaystyle 8\% per annum compounded annually. How much should he invest today to achieve his target amount?
MCQ
1250
Jonny wants to have 2,00,000\displaystyle 2,00,000 in his saving account after three year. The rate of interest offered by bank is 8%\displaystyle 8\% per annum compounded annually. How much should he invest today to achieve his target amount?
MCQ
1251
What is the effective rate of interest when principal amount 50,000\displaystyle 50,000 deposited in a nationalized bank for one year, corresponding to a nominal rate interest 8%\displaystyle 8\% per annum compounded quarterly [1.028=1.0824\displaystyle 1.02^8 = 1.0824]
MCQ
1252
Manoj invests 12,000\displaystyle 12,000 at 6%\displaystyle 6\% per annum simple interest to obtain a total amount of 14,880\displaystyle 14,880. What is the time for which the amount was invested?
MCQ
1253
Mr. X makes a deposit of 50,000\displaystyle 50,000 in the bank for a period 2.5\displaystyle 2.5 years. If the rate of interest is 12%\displaystyle 12\% per annum compounded half yearly, then the maturity value of the money deposited by Mr. X is: (where (1.06)5=1.3382\displaystyle (1.06)^5 = 1.3382)
MCQ
1256
The population of a city increases at the rate of 5%\displaystyle 5\% every year. What will be the population of the city in the year 2023\displaystyle 2023, if its population in 2021\displaystyle 2021 was 1,00,000\displaystyle 1,00,000?
MCQ
1257
Mr. XYZ invested 60,000\displaystyle 60,000 in a nationalized bank in the form of fixed deposit at the rate of 7.5%\displaystyle 7.5\% per annum simple interest rate. He received 83,500\displaystyle 83,500 after the end of the term of fixed deposit. Calculate the period for which 60,000\displaystyle 60,000 was invested in fixed deposit.
MCQ
1258
An amount 4,500\displaystyle 4,500 becomes 7,200\displaystyle 7,200 in 2\displaystyle 2 years at simple interest rate of:
MCQ
1259
The difference between the compound interest amount and the simple interest amount for a period of two years, at same interest rate r\displaystyle r is
MCQ
1260
If the interest rate on a loan is 1%\displaystyle 1\% per month, the effective annual rate of interest is:
MCQ
1261
Ram borrowed 5,000\displaystyle 5,000 at 12.5%\displaystyle 12.5\% per annum compound interest. The money was repaid after 3\displaystyle 3 years. The total interest paid by him approximately is (1+0.125)3=1.4238\displaystyle (1+0.125)^3 = 1.4238
MCQ
1262
Find the effective rate of interest if an amount of 40,000\displaystyle 40,000 deposited in a bank for 1\displaystyle 1 year at the rate of 10%\displaystyle 10\% compounded semi-annually
MCQ
1263
The value of a machine depreciates every year at the rate of 10%\displaystyle 10\% per annum, on its value at the beginning of that year, if the present value of the machine is 72,900\displaystyle 72,900, then machine's worth 3\displaystyle 3 years ago was:
MCQ
1264
What is the effective rate of interest when principal amount of 50,000\displaystyle 50,000 deposited in a nationalized bank for one year, corresponding to a nominal rate of interest 6%\displaystyle 6\% per annum payable half yearly?
MCQ
1265
Kanta wants to accumulate 4,91,300\displaystyle 4,91,300 in her savings account after three years. The rate of interest offered by bank is 6%\displaystyle 6\% per annum compounded annually. How much amount should she invest today to achieve her target amount?
MCQ
1267
The compound interest on 40,000\displaystyle 40,000 at 12%\displaystyle 12\% per annum compounded quarterly for 6\displaystyle 6 months is:
MCQ
1269
Mr. X makes a deposit of 12,000\displaystyle 12,000 in a bank where the amount doubles at compound interest in 5\displaystyle 5 years, then what will be the total amount he will have after twenty years?
MCQ
1270
A sum of money doubles itself at compound interest in 10\displaystyle 10 years. In how many years will it become eight times
MCQ
1271
The time in which a sum of money will be doubled at 6%\displaystyle 6\% compound interest compounded interest compounded interest compounded annually approximately.
MCQ
1273
If the difference between the interests received from two different banks on 5000\displaystyle 5000 for 2\displaystyle 2 years is 50\displaystyle 50 then the difference between this rates.
MCQ
1274
The simple interest of P%\displaystyle P\% for P\displaystyle P years will be P\displaystyle P on a sum of:
MCQ
1275
Nominal rate of Interest 9.9%\displaystyle 9.9\% p.a. If Interest is compounded monthly. What will be the effective rate of Interest? (Given (40334000)12=1.1036\displaystyle \left( \frac{4033}{4000} \right)^{12} = 1.1036 )
MCQ
1276
A machine worth of 4,90,740\displaystyle 4,90,740 is depreciated at 15%\displaystyle 15\% on its opening value each year. When its value reduces to 2,00,000\displaystyle 2,00,000.
MCQ
1278
The value of a machine depreciates 12%\displaystyle 12\% annually. If the present value of 68,150\displaystyle 68,150 then its value in 3\displaystyle 3 years ago was.
MCQ
1279
What principal will amount to 370\displaystyle 370 in 6\displaystyle 6 years at 8%\displaystyle 8\% p.a. at simple interest
MCQ
1280
The effective rate of interest on an amount 25,000\displaystyle 25,000 is deposited in a bank for one year at value of 6%\displaystyle 6\% per annum compounded semi-annually is
MCQ
1282
A certain money doubles itself in 10\displaystyle 10 years when deposited on simple interest. It would triple itself in.
MCQ
1181
A man deposited 8,000\displaystyle 8,000 in a bank for 3\displaystyle 3 years at 5%\displaystyle 5\% per annum compound interest, after 3\displaystyle 3 years he will get
MCQ
1284
The effective rate of interest for one year corresponding to a nominal at 7%\displaystyle 7\% rate of interest per annum convertible quarterly is
MCQ
1285
The population of a town increases every year by 2%\displaystyle 2\% of the population beginning of that year. The number of years by which the total increase of population be 40%\displaystyle 40\% is
MCQ
1286
The annual birth rates per 1,000\displaystyle 1,000 are 39.4\displaystyle 39.4 and 19.4\displaystyle 19.4 respectively. The number of years which the population will be doubled assuming there is no immigration or emigration is
MCQ
1287
10,000\displaystyle 10,000 is invested at annual rate of interest of 10%\displaystyle 10\% p.a. The amount after two years at annual compounding is
MCQ
1288
The annual birth rate and death rate per 1000\displaystyle 1000 are 39.4\displaystyle 39.4 and 19.4\displaystyle 19.4 respectively. The number of years in which population will be doubled assuming that there is no immigration or emigration approximately.
MCQ
1289
If the effective rate of interest is 11%\displaystyle 11\% per annum and the interest is compounded quarterly, the nominal rate of interest per annum is
MCQ
1291
Simple interest on 3500\displaystyle 3500 for 3\displaystyle 3 years at 12%\displaystyle 12\% per annum is
MCQ
1292
1000\displaystyle 1000 is invested at annual rate of interest of 10%\displaystyle 10\% p.a. The amount after two years if compounding is done annually is ________.
MCQ
1293
If a person invests 3,000\displaystyle 3,000 in a three years' investment that pays 12%\displaystyle 12\% per annum. Calculate the future value of the investment.
MCQ
1294
A person deposited a sum of 10,000\displaystyle 10,000 in a bank. After 2\displaystyle 2 years, he withdrew 4,000\displaystyle 4,000 and at the end of 5\displaystyle 5 years, he received an amount of 7,900\displaystyle 7,900; then the rate of simple interest is:
MCQ
1295
A trust fund has invested 30,000\displaystyle 30,000 in two different types of bonds which pays 5%\displaystyle 5\% and 7%\displaystyle 7\% interest respectively. Determine how much amount is invested in second type of bond if trust obtains an annual total interest of 1600\displaystyle 1600.
MCQ
1296
At six months intervals A deposited 1000\displaystyle 1000 in a savings account which credit interest at 10%\displaystyle 10\% p.a., compounded semi-annually. The first deposit was made when A's son was 6\displaystyle 6 months old and last deposit was made when his son turns 8\displaystyle 8 years old. The money remained in the account and was given to the son on his 10th\displaystyle 10^{th} birthday. How much did he receive? (1.05)16=2.1829\displaystyle (1.05)^{16} = 2.1829
MCQ
1297
What is the effective rate of interest if the nominal rate 5%\displaystyle 5\% p.a converted quarterly?
MCQ
1298
A sum of money doubles itself at compound interest in 10\displaystyle 10 years. In how many years will it become eight times?
MCQ
1299
Certain sum of money borrowed at simple interest amount to Rs.2688\displaystyle 2688 in three years and to 2784\displaystyle 2784 in four years at the rate p.a. equal to.
MCQ
1300
A sum of 46,875\displaystyle 46,875 was lent out at simple interest and at the end of 1\displaystyle 1 year 8\displaystyle 8 months the total amount was 50,000\displaystyle 50,000. Find the rate of interest percent per annum.
MCQ
1302
The time by which a sum of money would treble itself at 8%\displaystyle 8\% p.a. C. I. is
MCQ
1303
A machine depreciates at 10%\displaystyle 10\% of its value at the beginning of a year. The cost and scrap value realized at the time of sale being 23,240\displaystyle 23,240 and 9,000\displaystyle 9,000 respectively. For how many years the machine was put to use?
MCQ
1304
The compound interest on half-yearly rests on 10,000\displaystyle 10,000 the rate for the first and second years being 6%\displaystyle 6\% and for the third year 9%\displaystyle 9\% p.a. is
MCQ
1305
The effective rate of interest corresponding to a nominal rate 3%\displaystyle 3\% p.a payable half yearly is
MCQ
1306
A sum of money triples itself in 18\displaystyle 18 years under simple interest, what is the rate of interest p.a.?
MCQ
1307
What time will be required for a sum of money to double itself at 8%\displaystyle 8\% Simple interest?
MCQ
1308
The difference between simple interest and compound interest on a sum of 6,00,000\displaystyle 6,00,000 for two years is 6000\displaystyle 6000. What is the annual rate of interest?
MCQ
1309
What is the sum of money will amount to 1035.50\displaystyle 1035.50 in four years at compound interest for 1\displaystyle 1st, 2\displaystyle 2nd, 3\displaystyle 3rd and 4\displaystyle 4th years being 4%\displaystyle 4\%, 3%\displaystyle 3\%, 2%\displaystyle 2\% and 1%\displaystyle 1\% respectively?
MCQ
1310
A Machine was purchased for 10,000\displaystyle 10,000. Its rate of depreciation is 10%\displaystyle 10\% in the first year and 5%\displaystyle 5\% per annum afterwards. Find the depreciated value of Machine after 7\displaystyle 7 years of purchase.
MCQ
1311
The effective rate of interest for one-year deposit corresponding to a nominal 7%\displaystyle 7\% rate of interest per annum convertible quarterly is
MCQ
1312
What will be the population after three years when present population is 25,000\displaystyle 25,000 and population increases at the rate 3%\displaystyle 3\% in first year, 4%\displaystyle 4\% in second year and 5%\displaystyle 5\% in third year?
MCQ
1313
SI=0.125P\displaystyle SI = 0.125 P at 10%\displaystyle 10\% p.a find the time
MCQ
1314
8,000\displaystyle 8,000 becomes 10,000\displaystyle 10,000 in two years at simple interest. The amount that will become 6,875\displaystyle 6,875 in 3\displaystyle 3 years at the same rate of interest is:
MCQ
1315
The difference between the simple and compound interest on a certain sum for 3\displaystyle 3 year at 5%\displaystyle 5\% p.a. is 228.75\displaystyle 228.75. The compound interest on the sum for 2\displaystyle 2 years at 5%\displaystyle 5\% p.a. is:
MCQ
1317
The effective rate equivalent to nominal rate of 6%\displaystyle 6\% compounded monthly is:
MCQ
1318
A person borrows 5,000\displaystyle 5,000 for 4\displaystyle 4 years at 4%\displaystyle 4\% p.a. simple interest. He immediately lends to another person at 6.25%\displaystyle 6.25\% p.a. for 2\displaystyle 2 years. Find his gain in the transaction per year:
MCQ
1325
The cost of machinery Rs.1,25,000\displaystyle 1,25,000 if its useful life estimated to the 20\displaystyle 20 years and the rate of depreciation of its cost is 10%\displaystyle 10\% p.a. Then scrap value of machinery is
MCQ
1320
If A person invests 5,000\displaystyle 5,000 in a three years' investment that pays 12%\displaystyle 12\% per annum. Calculate the future value of the investment.
MCQ
1321
Two equal sums were lent out at 7%\displaystyle 7\% and 5%\displaystyle 5\% simple interest respectively. The interest earned on the two loans adds up to 960\displaystyle 960 for four years. Find the total sum lent out.
MCQ
1322
A sum of money amounts to 20,800\displaystyle 20,800 in 5\displaystyle 5 years and 22720\displaystyle 22720 in 7\displaystyle 7 years. Find the principle and rate of interest.
MCQ
1323
The annual birth and death rates per 1000\displaystyle 1000 are 39.4\displaystyle 39.4 and 19.4\displaystyle 19.4 respectively. The number of years in which the population will doubled assuming there is no immigration or emigration is:
MCQ
1324
The effective annual rate of interest corresponding to nominal rate 6%\displaystyle 6\% p.a. payable half yearly is
MCQ
1329
A sum amount to Rs. 1331\displaystyle 1331 at a principal of Rs.1000\displaystyle 1000 at 10%\displaystyle 10\% CI. Find the time
MCQ
1331
Arun purchased a vacuum cleaner by giving 1700\displaystyle 1700 as cash down payment, which will be followed by five EMIs of 480\displaystyle 480 each. The vacuum cleaner can also be bought by paying 3900\displaystyle 3900 cash. What is the approx. rate of interest p.a. (at simple interest) under this instalment plan?
MCQ
1332
If a sum triples itself in 15\displaystyle 15 years at simple rate of interest, the rate of interest per annum will
MCQ
1333
What will be population after 3\displaystyle 3 years when present population is 25,000\displaystyle 25,000 and population increases at the rate of 3%\displaystyle 3\% in 1\displaystyle 1 year, at 4%\displaystyle 4\% in II\displaystyle II year and 5%\displaystyle 5\% in III\displaystyle III year?
MCQ
1334
He effective rate of interest equivalent to the nominal rate of 7%\displaystyle 7\% converted monthly:
MCQ
1335
How much will be Rs.25,000\displaystyle 25,000 in 2\displaystyle 2 years at compound interest if the rates for the successive years are at 4%\displaystyle 4\% and 5%\displaystyle 5\% per year
MCQ
1337
A sum of money amount to 6,200\displaystyle 6,200 in 2\displaystyle 2 years and 7,400\displaystyle 7,400 in 3\displaystyle 3 years. The principal and rate
MCQ
1338
A sum of money gets doubled in 5\displaystyle 5 years at X%\displaystyle X\% simple interest. If the interest was Y%\displaystyle Y\%, the sum of money would have become ten-fold in thirty years. What is Y−X\displaystyle Y - X (in t\displaystyle t)
MCQ
1339
The difference between Compound Interest and Simple Interest on a certain sum for 2\displaystyle 2 years at 6%\displaystyle 6\% p.a. is 13.50\displaystyle 13.50. Find the sum
MCQ
1340
The sum required to earn a monthly interest of Rs 1200\displaystyle 1200 at 18%\displaystyle 18\% per annum Simple Interest is
MCQ
1341
The compound interest earned by a money lender on 7,000\displaystyle 7,000 for 3\displaystyle 3 years at the rate of interest for 3\displaystyle 3 years are 7%\displaystyle 7\%, 8%\displaystyle 8\% and 8.5%\displaystyle 8.5\% is
MCQ
1342
A Maruti Zen cost 3,60,000\displaystyle 3,60,000. Its price depreciates at the rate of 10%\displaystyle 10\% p.a. during the first two years and at the rate of 20%\displaystyle 20\% in third year. Also find the total depreciation.
MCQ
1343
In what time will be a sum of money doubles itself at 6.25%\displaystyle 6.25\% p.a simple interest?
MCQ
1344
The difference between the simple and compound interest on a certain sum of 3\displaystyle 3 years at 5%\displaystyle 5\% p.a is 22.75\displaystyle 22.75. The compound interest on the sum of for 2\displaystyle 2 years at 5%\displaystyle 5\% per annum is
MCQ
1345
How much time would the SI on a certain sum be 0.125\displaystyle 0.125 times the principal at 10%\displaystyle 10\% p.a.
MCQ
1346
The time in by which a sum of money is 8\displaystyle 8 times of itself if it doubles itself in 15\displaystyle 15 years interest compounded annually.
MCQ
1347
Present value of a scooter is 7,290\displaystyle 7,290. Its value decreases every year by 10%\displaystyle 10\% then the value before 3\displaystyle 3 years is equal to
MCQ
1348
Find the effective rate of interest at 10%\displaystyle 10\% p.a when the interest is payable quarterly.
MCQ
1349
The difference between in simple interest on a sum invested of 1500\displaystyle 1500 for 3\displaystyle 3 years is 18\displaystyle 18. The difference in their rate is
MCQ
1351
If 10,000\displaystyle 10,000 is invested at 8%\displaystyle 8\% per annum, then compounded quarterly. Then value of investment after 2\displaystyle 2 years is.
MCQ
1352
In how many years will a sum of money become double at 5%\displaystyle 5\% p.a compound interest
MCQ
1354
The present population of a town is 25,000\displaystyle 25,000. If it grows at the rate of 4%\displaystyle 4\%, 5%\displaystyle 5\%, 8%\displaystyle 8\% during 1st\displaystyle 1^{st} year, 2nd\displaystyle 2^{nd} year, 3rd\displaystyle 3^{rd} year respectively. Then find the population after 3\displaystyle 3 years.
MCQ
1355
The present value of a scooter is 7290\displaystyle 7290. The rate of depreciation is 10%\displaystyle 10\%. What was its value 3\displaystyle 3 years ago?
MCQ
1357
The difference between simple interest and compound interest on a certain for 2\displaystyle 2 years at 10%\displaystyle 10\% p.a is 10\displaystyle 10. Find the sum.
MCQ
1358
In how many years will a sum of money becomes four times at 12%\displaystyle 12\% p.a. simple interest?
MCQ
1375
Mr. X lent some amount of money at 4%\displaystyle 4\% S.I. and he obtained 520\displaystyle 520 less than he lent in 5\displaystyle 5 years. The sum lent is
MCQ
1376
8,829\displaystyle 8,829 is invested into three different sectors in such a way that their amounts at 4%\displaystyle 4\% p.a. S.I. after 5\displaystyle 5 years; 6\displaystyle 6 and 8\displaystyle 8 years are equal. Find each part of the sum.
MCQ
1378
A trust fund has invested 27000\displaystyle 27000 money in two schemes 'A' and 'B' offering compound interest at the rate of 8%\displaystyle 8\% and 9%\displaystyle 9\% per annum respectively. If the total amount of interest accrued through these two schemes together in two years was 4818.30\displaystyle 4818.30. What was the amount invested in schemes 'A'?
MCQ
1379
A sum of money invested of compound interest double itself in four years. In how many years it become 32\displaystyle 32 times of itself at the same rate of compound interest.
MCQ
1380
The difference between compound interest and simple interest on an amount of 15,000\displaystyle 15,000 for 2\displaystyle 2 years is 96\displaystyle 96. What is the rate of interest per annum?
MCQ
1382
Mrs. Sudha lent 4,000\displaystyle 4,000 in such a way that some amount to Mr. A at 3%\displaystyle 3\% p.a. S.I. and rest amount to B at 5%\displaystyle 5\% p.a. S.I., the annual interest from both is 144\displaystyle 144. Find the amount lent to Mr. A.
MCQ
1383
A certain sum of money becomes double at 5%\displaystyle 5\% rate of S.I. p.a. in a certain time, the time in years is
MCQ
1384
A certain sum of money amounts to 5,000\displaystyle 5,000 in 5\displaystyle 5 years at 10%\displaystyle 10\% p.a. In how many years will it amount to 6,000\displaystyle 6,000 at same rate of S.I. p.a.
MCQ
1385
1,25,000\displaystyle 1,25,000 is borrowed at compound interest at the rate of 2%\displaystyle 2\% for the 1\displaystyle 1st year, 3%\displaystyle 3\% for the 2\displaystyle 2nd year and 4%\displaystyle 4\% for the 3\displaystyle 3rd year. Find the amount to be paid after 3\displaystyle 3 years
MCQ
1386
A certain sum of money amounts to double in 5\displaystyle 5 years placed at compound interest. In how many years will it amount to 16\displaystyle 16 times at same rate of interest?
MCQ
1387
If the compound interest on a certain sum of money for 2\displaystyle 2 years at 5%\displaystyle 5\% p.a. be 50.44\displaystyle 50.44, then the simple interest (S.I.) is
MCQ
1388
If the difference between C.I. and S.I on a certain sum of money at 5%\displaystyle 5\% p.a. for 2\displaystyle 2 years is 1.50\displaystyle 1.50. Find the sum of money
MCQ
1389
The amount charged for a defined length of time for uses of principal, generally on year basis is known as
MCQ
1392
The ratio of principal and the compounded interest value for three years (Compounded annually) is 216:127\displaystyle 216:127. The rate of interest is
MCQ
1393
The Compounded interest Rs.8000\displaystyle 8000 for 6\displaystyle 6 months at 12%\displaystyle 12\% p.a payable quarterly is
MCQ
1394
The annual birth and death rates per 1,000\displaystyle 1,000 are 39.4\displaystyle 39.4 and 19.4\displaystyle 19.4 respectively. The number of years in which the population will be doubled assuming there is no immigration or emigration is
MCQ
1395
The SI on sum of money at 6%\displaystyle 6\% p.a for 7 years is equal to twice of SI on another sum for 9 years at 5%\displaystyle 5\% p.a. The ratio will be
MCQ
1396
Nominal Rate of Interest is 9.9%\displaystyle 9.9\% p.a. If Interest is compounded monthly, what will be effective rate of Interest.
MCQ
1397
The population of a town increases by 2%\displaystyle 2\% of the population at the beginning of the year. The number of years by which the total increases in population would be 40%\displaystyle 40\% is
MCQ
1398
A sum of money invested in compounded interest doubles itself in four years. In how many years it becomes 32 times of itself as the same rate of compound interest?
MCQ
1399
The simple interest on 600\displaystyle 600 for 9 months is 27\displaystyle 27. Find the interest rate.
MCQ
1400
Miss Liza lent 4,000\displaystyle 4,000 in such a way that some amount was given to Mr. A at 3%\displaystyle 3\% p.a. S.I. and rest amount to was given to B at 5%\displaystyle 5\% p.a. S.I., the annual interest from both is 144\displaystyle 144. Find the amount lent to Mr. A.
MCQ
1401
A certain sum of money was put at S.I. for 2.5\displaystyle 2.5 years at a certain rate of S.I. p.a. Had it been put at 4%\displaystyle 4\% higher rate, it would have fetched 500\displaystyle 500 more. Find the sum of money.
MCQ
1402
Rs.1,25,000\displaystyle 1,25,000 is borrowed at compound interest at the rate of 2%\displaystyle 2\% for the 1st year, 3%\displaystyle 3\% for the second year and 4%\displaystyle 4\% for the 3rd year. Find the amount to be paid after 3 years.
MCQ
1404
How long will it take for a principal to double if money is worth 12%\displaystyle 12\% compounded monthly?
MCQ
3940
1,25,000\displaystyle 1,25,000 is borrowed at compound interest at the rate of 2%\displaystyle 2\% for the 1\displaystyle 1st year, 3%\displaystyle 3\% for the 2\displaystyle 2nd year and 4%\displaystyle 4\% for the 3\displaystyle 3rd year. Find the amount to be paid after 3\displaystyle 3 years
MCQ
3941
A certain sum of money amounts to double in 5\displaystyle 5 years placed at compound interest. In how many years will it amount to 16\displaystyle 16 times at same rate of interest?
MCQ
3943
If the difference between C.I. and S.I on a certain sum of money at 5%\displaystyle 5\% p.a. for 2\displaystyle 2 years is 1.50\displaystyle 1.50. Find the sum of money
MCQ
3944
The amount charged for a defined length of time for uses of principal, generally on year basis is known as
MCQ
3945
The sum required to earn a monthly interest of Rs.1200\displaystyle 1200 at 18%\displaystyle 18\% P.a Simple Interest is -
MCQ
3946
Sachin deposited Rs.1,00,000\displaystyle 1,00,000 in his bank for 2\displaystyle 2 years at simple interest of 6%\displaystyle 6\%. How much interest would he earns? How much final value of deposit
MCQ
1423
The Compounded interest Rs.8000\displaystyle 8000 for 6\displaystyle 6 months at 12%\displaystyle 12\% p.a payable quarterly is
MCQ
1326
The SI on sum of money at 6%\displaystyle 6\% p.a for 7 years is equal to twice of SI on another sum for 9 years at 5%\displaystyle 5\% p.a. The ratio will be
MCQ
1421
Nominal Rate of Interest is 9.9%\displaystyle 9.9\% p.a. If Interest is compounded monthly, what will be effective rate of Interest.
MCQ
3949
The population of a town increases by 2%\displaystyle 2\% of the population at the beginning of the year. The number of years by which the total increases in population would be 40%\displaystyle 40\% is
MCQ
1430
If the Compound Interest on a certain sum of money for 2 years at 4%\displaystyle 4\% p.a. be 510\displaystyle 510, then its simple Interest (S.I.) of same time at same rate of interest is
MCQ
3955
How long will it take for a principal to double if money is worth 12%\displaystyle 12\% compounded monthly?
MCQ
1405
The difference between compound interest and simple interest on a certain sum for 2 years @ 10%\displaystyle 10\% p.a. is 100\displaystyle 100. Find the sum:
MCQ
1406
If a simple interest on a sum of money at 6%\displaystyle 6\% p.a. for 7 years is equal to twice of simple interest on another sum for 9 years at 5%\displaystyle 5\% p.a. The ratio will be:
MCQ
1407
How much money is required to be invested every year as to accumulate Rs.6,00,000\displaystyle 6,00,000 at the end of 10 years, if interest is compounded annually at 10%\displaystyle 10\% rate of interest?
MCQ
1408
The Scrap value of machine valued at Rs.10,00,000\displaystyle 10,00,000 after 15 years of depreciation is 10%\displaystyle 10\% p.a.
MCQ
1409
The effective annual rate of interest corresponding to nominal rate 6%\displaystyle 6\% p.a. payable quarterly is:
MCQ
1185
If the difference between the compound interest compounded annually and simple interest on a certain amount at 10%\displaystyle 10\% per annum for two years is 372\displaystyle 372, then the principal amount is.
MCQ
1411
What will be the population after 3 years , when present population is 1,00,000\displaystyle 1,00,000 and the population increases at 3%\displaystyle 3\% in 1st year, at 4%\displaystyle 4\% in second year and at 5%\displaystyle 5\% in third year
MCQ
1412
The value of furniture depreciates by 10%\displaystyle 10\% a year, if the present value of the furniture in an office is 3870\displaystyle 3870, calculate the value of furniture 3 years ago:
MCQ
1413
A sum of money, lent out at simple interest, doubles itself in 8 years. Find in how many years will the sum become 3 times itself.
MCQ
1414
A man invests an amount of 15,860\displaystyle 15,860 in the names of his three sons A, B and C in such a way that they get the same interest after 2,3\displaystyle 2,3 and 4\displaystyle 4 years respectively. If the rate of interest is 5%\displaystyle 5\%, then the ratio of amount invested in the name of A, B and C is.
MCQ
1415
What annual payment will discharge a debt of 770\displaystyle 770 due in 5 years, the rate of interest being 5%\displaystyle 5\% per annum SI ?
MCQ
1416
Mr. X invests 'P' amount at Simple Interest rate 10%\displaystyle 10\% and Mr. Y invests 'Q' amount at Compound Interest rate 5%\displaystyle 5\% compounded annually. At the end of two years both get the same amount of interest, then the relation between two amounts P and Q is given by:
MCQ
1417
In what time will a sum of money double its y at 6.25%\displaystyle 6.25\% p.a. simple interest?
MCQ
1418
In how many years will a sum of money double at 5%\displaystyle 5\% p.a compounded interest?
MCQ
1419
A machine worth Rs. 4,90,740\displaystyle 4,90,740 is depreciated at 15%\displaystyle 15\% of its opening value each year. When its value reduces to Rs. 2,00,000\displaystyle 2,00,000 it will take
MCQ
1420
A machine worth of Rs. 4,90,740\displaystyle 4,90,740 is depreciated at 15%\displaystyle 15\% on its opening value each year. When its value reduces to Rs. 2,00,000\displaystyle 2,00,000 it will take
MCQ
1422
The time in which a sum of money will be doubled at 6%\displaystyle 6\% compound interest compounded annually approximately.
MCQ
3957
The Compound interest 8000\displaystyle 8000 for 6\displaystyle 6 months at 12%\displaystyle 12\% p.a payable quarterly is:
MCQ
1424
The simple interest on sum of money at 6%\displaystyle 6\% p.a. for 7\displaystyle 7 years is equal to twice of simple interest on another sum for 9\displaystyle 9 years at 5%\displaystyle 5\% p.a. The ratio will be:
MCQ
1425
If the interest rate on a loan at 1%\displaystyle 1\% per month, the effective annual rate of interest is:
MCQ
1426
The simple interest on a certain sum of money is 125\displaystyle \frac{1}{25} times of principal, the rate of interest when rate of interest and time are equal is
MCQ
1427
At what time a certain sum of money amounts to 400\displaystyle 400 at 10%\displaystyle 10\% p.a. S.I. and to 200\displaystyle 200 at 4%\displaystyle 4\% p.a. S.I.
MCQ
1428
6,400\displaystyle 6,400 amounts to 7840\displaystyle 7840 in two years at simple interest. How much will a sum of 84\displaystyle 84 invested at the same rate of simple interest amount in four years?
MCQ
1429
A person gave a loan of 200\displaystyle 200 to Mr. X and recovered it at the rate of 35\displaystyle 35 for eight months, commencing from the end of first month. What is the effective rate of simple interest?
MCQ
3958
If the compound interest on a certain sum of money for 2\displaystyle 2 years at 4%\displaystyle 4\% p.a. be 510\displaystyle 510, then its simple interest at same time at same rate of interest is
MCQ
1431
On what sum will the difference between the S.I. and C.I. for 3\displaystyle 3 years at 6%\displaystyle 6\% p.a. amount to 13.77\displaystyle 13.77?
MCQ
1432
The Partners A & B together lent 3903\displaystyle 3903 at 4%\displaystyle 4\% p.a interest compounded annually. After a span of 7\displaystyle 7 years A gets the same amount as B gets after 9\displaystyle 9 years. The share of A is sum of 3903\displaystyle 3903 would have been
MCQ
1433
Mr. X invest 10,000\displaystyle 10,000 every year starting from today for next 10\displaystyle 10 years suppose interest rate is 8%\displaystyle 8\% per annual compounded annually. Calculate future value of the annuity.
MCQ
1434
How much amount is required to be invested every year so as to accumulate 3,00,000\displaystyle 3,00,000 at the end of the 10\displaystyle 10 years, if interest is compounded annually at 10%\displaystyle 10\%?
MCQ
1436
The value of furniture depreciates by 10%\displaystyle 10\% a year, it the present value of the furniture in an office is 21,870\displaystyle 21,870. Calculate the value of furniture 3\displaystyle 3 years ago
MCQ
1437
Let a person invest a fixed sum at the end of each month in an account paying interest 12%\displaystyle 12\% per year compounded monthly. If the future value of this annuity after the 12th\displaystyle 12^{th} payment is ₹55,000\displaystyle ₹ 55,000 then the amount invested every month is?
MCQ
1438
Present value of a scooter is ₹7,290\displaystyle ₹ 7,290 if its value decrease every year by 10%\displaystyle 10\% then its value before 3\displaystyle 3 years is equal to:
MCQ
1442
A person decides to invest ₹1,25,000\displaystyle ₹ 1,25,000 per year for the next five years in an annuity which gives 5%\displaystyle 5\% p.a. compounded annually. What is the approx. future value? [(1.05)5=1.2762]\displaystyle [(1.05)^5 = 1.2762]
MCQ
1443
Which of the following statements is True? (assume that the yearly cash flow? Are identical for both annuities)
MCQ
1444
₹2,500\displaystyle ₹ 2,500 is paid every year for 10\displaystyle 10 years to pay off a loan. What is the loan amount if interest rate be 14%\displaystyle 14\% p.a. compounded annually?
MCQ
1445
Find the future value of annuity of ₹1,000\displaystyle ₹ 1,000 made annually for 7\displaystyle 7 year at interest rate of 14%\displaystyle 14\% compounded annually
MCQ
1446
₹800\displaystyle ₹ 800 is invested at the end of each month in an account paying interest 5%\displaystyle 5\% per year compounded monthly. What is the future value of this annuity after 10th\displaystyle 10^{th} payment?
MCQ
1447
The present value of an annuity immediate is the same as
MCQ
1449
A loan of ₹1,02,000\displaystyle ₹ 1,02,000 is to be paid back in two equal annual instalments. If the rate is 4%\displaystyle 4\% p.a. compounded annually, then the total interest charged under this instalment plan is:
MCQ
1450
The future value of annuity of ₹2,000\displaystyle ₹ 2,000 for 5\displaystyle 5 years at 5%\displaystyle 5\% compounded annually is given as:
MCQ
1451
Mr. X wants to accumulate ₹50,00,000\displaystyle ₹ 50,00,000 at the end of 10\displaystyle 10 years. Then how much amount is required to be invested every year if interest is compounded annually at 10%\displaystyle 10\%? (Given that P(10,0.10)=15.9374298)\displaystyle P(10,0.10) = 15.9374298)
MCQ
1452
The present value of an annuity of ₹25,000\displaystyle ₹ 25,000 to be received after 10\displaystyle 10 years at 6%\displaystyle 6\% per annum compounded annually is
MCQ
1453
₹2500\displaystyle ₹ 2500 is paid every year for 10\displaystyle 10 years to pay off a loan. What is the loan amount if interest rate be 14%\displaystyle 14\% p.a. compounded annually?
MCQ
1454
₹200\displaystyle ₹ 200 is invested at the end of each month in an account paying interest 6%\displaystyle 6\% per year compounded monthly. What is the future value of this annuity after 10th\displaystyle 10^{th} payment?
MCQ
1456
Ankit invests ₹3,000\displaystyle ₹ 3,000 at the end of each quarter receiving interest @ 7%\displaystyle 7\% p.a. for 5\displaystyle 5 years. What amount will be receive at the end of the period?
MCQ
1457
A company establishes a sinking fund to provide for the payment ₹2,00,000\displaystyle ₹ 2,00,000 debt maturity in 20\displaystyle 20 years contribution to the fund are to be made at the end of every year. Find amount of each deposit if interest is 10%\displaystyle 10\% p.a.?
MCQ
1458
How much amount is required to be invested every year so as to accumulate ₹5,00,000\displaystyle ₹ 5,00,000 at the end of 12\displaystyle 12 years if interest is compounded annually at 10%\displaystyle 10\% p.a (1.12,0.1)=21.384281\displaystyle (1.12, 0.1) = 21.384281
MCQ
1459
10\displaystyle 10 Years ago the earning per share (EPS) of ABC Ltd. was ₹5\displaystyle ₹ 5 share. Its EPS for this year is ₹20\displaystyle ₹ 20. Compute at what rat, EPS of the company grow annually?
MCQ
1460
Raju invests ₹20,000\displaystyle ₹ 20,000 every year in a deposit scheme starting from today for next 12\displaystyle 12 years. Assuming that interest rate on this deposit is 7%\displaystyle 7\% per annum compounded annually. What will be the future value of this annuity?
MCQ
1461
Mr. A invested 10,000\displaystyle 10,000 every year for next 3\displaystyle 3 years at the interest rate of 8\displaystyle 8 percent per annum compounded annually. What is future value of the annuity?
MCQ
1462
5,000\displaystyle 5,000 is invested every month end in an account paying interest @12%\displaystyle @12\% per annum compounded monthly. What is the future value of this annuity just after making 41st\displaystyle 41^{st} payment? (Given that (1.01)41=1.501156\displaystyle (1.01)^{41} = 1.501156 )
MCQ
1463
Sinking fund factor is the reciprocal of:
MCQ
1464
Suppose you have decided to make a Systematic Investment Plan (SIP) in a mutual fund with 1,00,000\displaystyle 1,00,000 every year from today for next 10\displaystyle 10 years where you get return at the rate of 10%\displaystyle 10\% per annum compounded annually. What is the future value of this annuity?
MCQ
1467
Govinda's mother decides to gift him 50,000\displaystyle 50,000 every year starting from today for the next five years. Govinda deposits this amount in a bank as and when he receives and gets 10%\displaystyle 10\% per annum interest rate, compounded annually. What is the present value of this annuity? Given P(4,0.10)=3.16987\displaystyle P(4,0.10) = 3.16987.
MCQ
1468
How much amount is required to be invested every year so as to accumulate 50,000\displaystyle 50,000 at the end of 10\displaystyle 10 years, if the interest compounded annually at 10%\displaystyle 10\%. Given A(10,0.1)=15.9374\displaystyle A(10, 0.1) = 15.9374
MCQ
1470
What will be the future value of an annuity of 2,500\displaystyle 2,500 made annually for 12\displaystyle 12 years at interest rate of 5%\displaystyle 5\% compounded annually
MCQ
1471
Mrs. X invests in an annuity immediately that promises annual payments of 50,000\displaystyle 50,000 for the next 16\displaystyle 16 years. If the interest rate is 6%\displaystyle 6\% compounded annually then the approximate present value of this annuity is
MCQ
1472
Calculate the present value of 2,000\displaystyle 2,000 to be required after 10\displaystyle 10 years compounded annually at 5%\displaystyle 5\% per annum given (1.05)10=1.62889\displaystyle (1.05)^{10} = 1.62889
MCQ
1473
If a loan of 30,000\displaystyle 30,000 is to be paid in 5\displaystyle 5 annual instalments with interest rate of 14%\displaystyle 14\% per annum, then the equal annual instalment will be (take P(5,0.14)=3.43308\displaystyle P(5, 0.14) = 3.43308)
MCQ
1474
Find the future value of an annuity of 5,000\displaystyle 5,000 made annually for 6\displaystyle 6 years at rate of 12%\displaystyle 12\% compounded annually, if (1+0.12)6=1.9738\displaystyle (1+0.12)^6 = 1.9738
MCQ
1475
What is the present value of an investment that pays 400\displaystyle 400 at the end of three years and 500\displaystyle 500 at the end of 6\displaystyle 6 years?
MCQ
1476
At 8%\displaystyle 8\% compounded annually, how long will it take 750\displaystyle 750 to double?
MCQ
1477
You are considering two investments. Investment A yields 10%\displaystyle 10\% compounded quarterly. Investment B yields 9%\displaystyle 9\% compounded semi-annually. Both investments have equal annual yields. Find ?
MCQ
1478
What is the present value of 5,000\displaystyle 5,000 to be obtained after six years if the interest rate is 5%\displaystyle 5\% per annum? for n=6,7,8,9\displaystyle n=6, 7, 8, 9 respectively. frac1(1.05)n=0.74261,0.71068,0.67686,0.64462\displaystyle \\frac{1}{(1.05)^n} = 0.74261, 0.71068, 0.67686, 0.64462
MCQ
1479
A person invests in a fund that pays 4%\displaystyle 4\% per annum for four years. The future value of current 4,000\displaystyle 4,000 would be? use, if needed
MCQ
1480
What is the present value of 1000\displaystyle 1000 to be received after two years compounded annually at 10%\displaystyle 10\% interest rate?
MCQ
1481
In an account paying interest @9%\displaystyle @9\% per year compounded monthly, 200\displaystyle 200 is invested at the end of each month. What is the future value of this annuity after 10th\displaystyle 10^{th} payment? (Where (1.00/5)10=1.0775\displaystyle (1.00/5)^{10} = 1.0775 )
MCQ
1482
What is the annual contribution required by an organization to accumulate 20,00,000\displaystyle 20,00,000 in ten years for the construction of a new manufacturing plant, utilizing a sinking fund with 8%\displaystyle 8\% annual interest rate of 8%\displaystyle 8\% compounded annually? (Where A(10,0.06)=13.180785\displaystyle A(10,0.06) = 13.180785)
MCQ
1483
A loan of 16,550\displaystyle 16,550 is to be paid in three equal annual instalments at compound interest. The value of annual instalment, if the rate of interest is 10%\displaystyle 10\% per annum is:
MCQ
1484
Future value of Ordinary Annuity
MCQ
1485
A sinking fund is created to redeem debentures worth 5,00,000\displaystyle 5,00,000 at the end of 25\displaystyle 25 years. How much provision each need to be made out of profits each year provided sinking fund investments can earn at 4%\displaystyle 4\% per annum
MCQ
1486
Find the future value of annuity 1000\displaystyle 1000 made annually for 7\displaystyle 7 years at interest rate of 14%\displaystyle 14\% compounded annually is
MCQ
1487
10,000\displaystyle 10,000 is paid every year to off a loan, the loan amount if interest be 14%\displaystyle 14\% per annum compounded annually is [P(10,0.14)=5.21611]\displaystyle [P(10, 0.14) = 5.21611]
MCQ
1488
The present value of 1\displaystyle 1 to be receive after 3\displaystyle 3 year compounded annually at 11%\displaystyle 11\% interest is
MCQ
1489
Suppose your father decides to gift you 5,000\displaystyle 5,000 every year starts from today for the next four years. You deposit the amount is a bank and as and when you receive and get 10%\displaystyle 10\% per annum interest rate compound annually. The present value of this annuity is [P(3,0.10)=2.48685]\displaystyle [P(3,0.10) = 2.48685]
MCQ
1490
Find the Present value of 10,000\displaystyle 10,000 to be required after 5\displaystyle 5 years. If the interest be 9%\displaystyle 9\%
MCQ
1491
Rs.500\displaystyle 500 is invested is invested at the end of each month in an account paying interest 8%\displaystyle 8\% per year compounded annually. The future value of annuity after 10\displaystyle 10th payment is
MCQ
1492
The furniture depreciates by 10%\displaystyle 10\% p.a. If the present value of the furniture in office is 21870\displaystyle 21870, calculate the value of furniture 3\displaystyle 3 years ago.
MCQ
1493
Find the future value of an annuity of 500\displaystyle 500 made annually for 7\displaystyle 7 years at interest rate of 14%\displaystyle 14\% per annum [Given the (1.14)7=2.5023]\displaystyle [Given \text{ the } (1.14)^7 = 2.5023]
MCQ
1494
200\displaystyle 200 invested at the end of each month in an account paying interest 6%\displaystyle 6\% per year compounded monthly. What is the future value of this annuity after 10\displaystyle 10th payment?
MCQ
1495
Suppose your father decides to gift you 10,000\displaystyle 10,000 every year starting from today for the next five years, you deposit this amount in a bank as and when you receive and get 10%\displaystyle 10\% p.a. C.I. What is the present value of this annuity?
MCQ
1496
Y bought Motor Bike Costing 80,000\displaystyle 80,000 by making down payment of 30,000\displaystyle 30,000 and agreeing to make annual payment for four years. How much would be each payment if the interest on unpaid amount be 14%\displaystyle 14\% compounded annually.
MCQ
1497
A machine costs 1,00,000\displaystyle 1,00,000. The depreciation rate is 10%\displaystyle 10\% per annum. The scrap value of the machine at the end of 5\displaystyle 5 years is
MCQ
1498
X bought a TV costing 25,000\displaystyle 25,000 making down payment of 5000\displaystyle 5000 and agreeing to make equal annual payment for four years. How much would be each payment if the interest on unpaid amount be 14%\displaystyle 14\% compounded annually?
MCQ
1499
The future value of annuity on 5000\displaystyle 5000 a year for 7\displaystyle 7 years at 14%\displaystyle 14\% per annum compounded interest is
MCQ
1500
5000\displaystyle 5000 paid for ten years to off a loan. What is the loan amount if interest rate be 14%\displaystyle 14\% per annum compounded annually? [Given P(10,0.14)=5.2161]\displaystyle [Given \ P(10, 0.14) = 5.2161]
MCQ
1501
Suppose your friend decided gift to you 10000\displaystyle 10000 every year starting from today for the next five years. Your deposit this amount in a bank and when you receive and get 10%\displaystyle 10\% per annum interest compounded annually. What is the present value of this annuity?
MCQ
3959
1000\displaystyle 1000 is invested at the end of each month in an account paying interest 6%\displaystyle 6\% p.a. compounded monthly. What is the future value of annuity after 10\displaystyle 10th payment?
MCQ
1503
Anil bought a motor cycle costing 1,30,000\displaystyle 1,30,000 by making a down payment of 30,000\displaystyle 30,000 and agreeing to make equal annual payment for five years. How much would be each payment if the interest on unpaid amount be 10%\displaystyle 10\% compounded annually? [P(5,0.10)=3.7908]\displaystyle [P(5, 0.10) = 3.7908].
MCQ
1504
Shoba borrows 50,00,000\displaystyle 50,00,000 to buy a house. If he pays equal instalments for 20\displaystyle 20 years and 10%\displaystyle 10\% interest on outstanding balance, what will be the equal annual instalment?
MCQ
1505
An asset of 50,000\displaystyle 50,000 to be paid back in equal annual installments over a period of 20\displaystyle 20 years. Find the value of installment, if interest is compounded annually at 14%\displaystyle 14\% per annum. [Given (1.14)20=13.74349]\displaystyle [Given \ (1.14)^{20} = 13.74349]
MCQ
1506
The present value of an annuity of 80\displaystyle 80 for 20\displaystyle 20 years at 5%\displaystyle 5\% p.a. is [Given (1.05)20=2.6533]\displaystyle [Given \ (1.05)^{20} = 2.6533]
MCQ
1507
A person bought a house paying 20,000\displaystyle 20,000 cash down and 4,000\displaystyle 4,000 at the end of each year for 25\displaystyle 25 yrs. at 5%\displaystyle 5\% p.a. C.I. The cash down price is
MCQ
1508
A man purchased a house valued at 3,00,000\displaystyle 3,00,000. He paid 2,00,000\displaystyle 2,00,000 at the time of purchase and agreed to pay the balance with interest at 12%\displaystyle 12\% per annum compounded half yearly in 20\displaystyle 20 equal half yearly instalments. If the first instalment is paid after six months from the date of purchase then the amount of each instalment is.
MCQ
1509
A person invests 500\displaystyle 500 at the end of each year with a bank which pays interest at 10%\displaystyle 10\% p.a C.I. annually. The amount standing to his credit one year after he has made his yearly investment for the 12th\displaystyle 12^{th} time is, Given (1.1)12=3.1384\displaystyle (1.1)^{12} = 3.1384.
MCQ
1510
The present value of 10,000\displaystyle 10,000 due in 2\displaystyle 2 years at 5%\displaystyle 5\% p.a. compound interest when the interest is paid on half-yearly basis is
MCQ
1511
Find the present value of 10,000\displaystyle 10,000 to be required after 5\displaystyle 5 years, if the interest rate be 9\displaystyle 9 per cent compounded annually.
MCQ
1512
A man borrows 4000\displaystyle 4000 from a bank at 10%\displaystyle 10\% compound interest. At the end of every year 1500\displaystyle 1500 as part of repayment of loan and interest. How much is still owe to the bank after three such installments.
MCQ
1513
The future value of annuity of 1,000\displaystyle 1,000, made annually for 5\displaystyle 5 years at the interest of 14%\displaystyle 14\% compounded annually is [(1.14)5=1.925410]\displaystyle [(1.14)^5 = 1.925410]
MCQ
1514
Future value of an ordinary annuity
MCQ
1515
Antil bought a motor cycle costing 1,50,000\displaystyle 1,50,000 by making a down payment of 50,000\displaystyle 50,000 and agreeing to make equal annual payment for five years. How much would be each payment if the interest on unpaid amounts be 10%\displaystyle 10\% compounded annually? [P(5,0.10)=3.79079]\displaystyle [P(5,0.10) = 3.79079]
MCQ
1516
Shoba borrows 50,00,000\displaystyle 50,00,000 to buy a house. If he pays equal installments for 20\displaystyle 20 years and 10%\displaystyle 10\% interest on outstanding balance, what will be the equal annual installment? [P(20,0.10)=8.51356]\displaystyle [P(20,0.10) = 8.51356]
MCQ
1517
How much money is to be invested every year so to accumulate 3,00,000\displaystyle 3,00,000 at the end of 10\displaystyle 10 years if interest is compounded annually at 10%\displaystyle 10\% rate of interest?
MCQ
1518
Find the present value of an ordinary annuity of 8\displaystyle 8 quarterly payments of 500\displaystyle 500 each, the rate of interest being 8%\displaystyle 8\% p.a. compounded quarterly
MCQ
1519
How much amount is required to be invested every year so as to accumulate 5,00,000\displaystyle 5,00,000 at the end of 12\displaystyle 12 years, if interest is compounded annually at 12%(0.12)\displaystyle 12\% (0.12). [1.384288]\displaystyle [1.384288]
MCQ
1520
Raju invests 20,000\displaystyle 20,000 every year in a deposit scheme starting from today for next 12\displaystyle 12 years. Assuming that interest rate on his deposit is 7%\displaystyle 7\% per annum compounded annually. What will be the future value of this annuity?
MCQ
1521
Mr. A invested 20,000\displaystyle 20,000 p.a. for next 3\displaystyle 3 years at the interest rate of 8\displaystyle 8 percent p.a. compounded annually. What is future value of the annuity?
MCQ
1522
10,000\displaystyle 10,000 is invested every month and in an account paying interest @12%\displaystyle @12\% per annum compounded monthly. What is the future value of this annuity just after making 11th\displaystyle 11^{th} payment
MCQ
1523
Find the present value of an annuity which pays 200\displaystyle 200 at the end of each 3\displaystyle 3 months for 10\displaystyle 10 years assuming 8%\displaystyle 8\% p.a. 5%\displaystyle 5\% converted quarterly.
MCQ
1524
The amount of an annuity due consisting of 15\displaystyle 15 annual payments invested at 8%\displaystyle 8\% effective is 10,000\displaystyle 10,000. Find the size of each payment:
MCQ
1525
The future value of an annuity of 5,000\displaystyle 5,000 is made annually for 8\displaystyle 8 years at interest rate of 9%\displaystyle 9\% compounded annually. [(1.09)8=1.99256]\displaystyle [(1.09)^8 = 1.99256]
MCQ
1526
Paul borrows 20,000\displaystyle 20,000 on condition to repay it with compound interest at 5%\displaystyle 5\% p.a. in annual installment of 2,000\displaystyle 2,000 each. Find the number of years in which the debt would be paid off:
MCQ
1527
A debt of 5000\displaystyle 5000 with interest at the rate of 8%\displaystyle 8\% compounded quarterly is to be discharged by 8\displaystyle 8 equal quarterly payments, the first payment being due today. Find the size of each payment.
MCQ
1528
Find the future value of an annuity of 500\displaystyle 500 is made annually for 7\displaystyle 7 years at interest rate of 14%\displaystyle 14\% compounded annually. [(1.14)7=2.5023]\displaystyle [(1.14)^7 = 2.5023]
MCQ
1529
How much amount is required to be invested every year as to accumulate 6,00,000\displaystyle 6,00,000 at the end of 10th\displaystyle 10^{th} year, if interest is compounded annually at 10%\displaystyle 10\% rate of interest?
MCQ
1530
The future value of an annuity of 1500\displaystyle 1500 made annually for 5\displaystyle 5 years at an interest rate of 10%\displaystyle 10\% compounded annually is
MCQ
1531
Find the present value of an annuity of 1,000\displaystyle 1,000 payable at the end of each year for 10\displaystyle 10 years. If rate of interest is 6%\displaystyle 6\% compounding per annum.
MCQ
1532
Mr. A borrows 5,00,000\displaystyle 5,00,000 to buy a house. If he pays equal instalments for 20\displaystyle 20 years and 10%\displaystyle 10\% interest on outstanding balance what will be the equal annual instalment?
MCQ
1533
Suppose your mom decides to gift you 10,000\displaystyle 10,000 every year starting from today for the next 16\displaystyle 16 years. You deposit this amount in a bank account and you receive 8%\displaystyle 8\% p.a. interest rate compounded annually. What is the present value of this money: (Given that P(15,0.085)=8.304236\displaystyle P(15, 0.085) = 8.304236)
MCQ
1534
Find the present value of an annuity which pays 200\displaystyle 200 at the end of each 3\displaystyle 3 months for 10\displaystyle 10 years assuming money to be worth 5%\displaystyle 5\% converted quarterly?
MCQ
1535
Arslan invested 10,000\displaystyle 10,000 at 8%\displaystyle 8\% per annum compound quarterly, then the value of the investment after 2\displaystyle 2 years is
MCQ
1536
The future value of an annuity of 1,000\displaystyle 1,000 made annually for 5\displaystyle 5 years at the interest of 14%\displaystyle 14\% compounded annually is:
MCQ
1537
Present value of a scooter is 7,290\displaystyle 7,290 if its value decreases every year by 10%\displaystyle 10\% then its value before 3\displaystyle 3 years is equal to:
MCQ
1538
How much amount is required to be invested every year so as to accumulate 5,00,000\displaystyle 5,00,000 at the end of 10\displaystyle 10 years, if CI is annually at 10%\displaystyle 10\%?
MCQ
1539
The time by which a sum of money is 8\displaystyle 8 times of itself if it doubles itself in 15\displaystyle 15 years.
MCQ
1540
A sinking fund is created for redeeming debentures worth Rs. 5,00,000\displaystyle 5,00,000 at the end of 25\displaystyle 25 years. How much provision need to be made out of profits each year provided sinking fund investments can earn at 4%\displaystyle 4\% per annum
MCQ
1541
Mr. X bought an electronic item for 1000\displaystyle 1000. What would be the future value of the same item after two years, if the value is compounded semi-annually at the rate of 22%\displaystyle 22\% per annum?
MCQ
1542
The present value of an annuity which pays 200\displaystyle 200 at the end of each 3\displaystyle 3 months for 10\displaystyle 10 years, assuming money to be worth 5%\displaystyle 5\% converted quarterly.
MCQ
1543
A company establishes a sinking fund to provide for the payment of 2,00,000\displaystyle 2,00,000 debt maturing in 20\displaystyle 20 years. Contributions to the fund are to be made at the end of every year. Find the amount of each annual deposit if interest is 8%\displaystyle 8\% per annum
MCQ
1544
ABC Ltd. Wants to lease out an asset costing 3,60,000\displaystyle 3,60,000 for a five year period. It has a fixed rental of 1,05,000\displaystyle 1,05,000, per annum payable annually starting from the end of first year. Suppose rate of interest is 14%\displaystyle 14\% per annum compounded annually on which money can be invested by the company. Is this agreement favourable to the company.
MCQ
1545
What is the net present value of piece of property which would be valued at 2\displaystyle 2 lakh at the end of 2\displaystyle 2 years? (Annual rate of increase =5%\displaystyle = 5\%)
MCQ
1546
Determine the present value of perpetuity of 50,000\displaystyle 50,000 per month @ rate of interest 12%\displaystyle 12\% p.a. is
MCQ
1547
A stock pays annually an amount of 10\displaystyle 10 from 6th\displaystyle 6^{th} year onwards. What is the present value of the perpetuity if the rate of return is 20%\displaystyle 20\%?
MCQ
1548
Assuming that the discount rate is 7%\displaystyle 7\% p.a. how much would pay to receive 200\displaystyle 200 growing at 5%\displaystyle 5\% annually forever?
MCQ
1549
If discount rate is 14%\displaystyle 14\% per annum, then how much a company has to pay to receive 280\displaystyle 280 growing at 9%\displaystyle 9\% annually forever?
MCQ
1550
If the nominal rate of growth is 17%\displaystyle 17\% and inflation is 9%\displaystyle 9\% for the five years. Let P be the Gross Domestic Product (GDP) amount at the present year then the projected real GDP after 6\displaystyle 6 years is:
MCQ
1551
If a person bought a house by paying 45,000.00\displaystyle 45,000.00 down payment and 80,000\displaystyle 80,000 at the end of each year till the perpetuity. Assuming the rate of interest as 16%\displaystyle 16\%, the present value of house (in $) is given as:
MCQ
3960
Operating profit of a manufacturer for five years\n\n| Year | Operating Profit (in lakh Rs.) |\n|---|---|\n| 1 | 90 |\n| 2 | 100 |\n| 3 | 106.4 |\n| 4 | 107.14 |\n| 5 | 120.24 |\n| 6 | 157.35 |Then the operating profit of Compound Annual Growth Rate (CAGR) for year 6 with respect to year 2 is given that:
MCQ
1577
If the cost of capital be 12%\displaystyle 12\% per annual, then the net present value from given cash flow:\n\n| Year | Operating Profit (in thousands Rs.) |\n|---|---|\n| 0 | -100 |\n| 1 | 60 |\n| 2 | 40 |\n| 3 | 50 |
MCQ
1554
Assuming that the discount rate is 7%\displaystyle 7\% p.a. How much would you pay to receive 200\displaystyle 200, growing at 5%\displaystyle 5\% annually forever?
MCQ
1555
The CAGR of a initial value of a investment of 15,000\displaystyle 15,000 and final value of 25,000\displaystyle 25,000 in 3\displaystyle 3 years is:
MCQ
1556
Ms. Paul invested 1,00,000\displaystyle 1,00,000 in a mutual fund scheme in January 2018\displaystyle 2018. After one year in January 2019\displaystyle 2019, she got a dividend amounting to 10,000\displaystyle 10,000 for first year, 12,000\displaystyle 12,000 for second year, 16,000\displaystyle 16,000 for third year, 18,000\displaystyle 18,000 for fourth year and 21,000\displaystyle 21,000 for fifth year in January 2023\displaystyle 2023. What is Compounded Annual Growth Rate (CAGR) of dividend return? Given 1.20382=2.1\displaystyle 1.2038^2 = 2.1.
MCQ
1557
If the discount rate is 10%\displaystyle 10\% per annum, how much amount would you pay to receive 2,500\displaystyle 2,500 growing at 8%\displaystyle 8\% annually forever?
MCQ
1558
Mr. Sharad got his retirement benefits amounting to 50,00,000\displaystyle 50,00,000. He want to receive a fixed monthly sum of amount for his rest of life, starting after one month and thereafter he want to pass on the same to future generation. He expects to earn an interest of 9%\displaystyle 9\% CI Annually. Determine how much perpetual payment he will receive every month?
MCQ
1559
A person wants to open a shop have two options to acquire a commercial space either by leasing for 10\displaystyle 10 years at annual rent of 2,00,000\displaystyle 2,00,000 or by purchasing the space for 22,00,000\displaystyle 22,00,000. If person can borrow money at 14%\displaystyle 14\% compounded per annum. Which alternate is most suitable?
MCQ
1560
If the initial investment of 4,00,000\displaystyle 4,00,000 becomes 6,00,000\displaystyle 6,00,000 in 24\displaystyle 24 months, then CAGR is
MCQ
1561
Assuming that the discount rate is 12%\displaystyle 12\% per annum, how much would you pay to get 100\displaystyle 100 per year, growing at 4%\displaystyle 4\% annually forever?
MCQ
1562
You bought a painting 10\displaystyle 10 years ago an investment. You originally paid 85,000\displaystyle 85,000 for it. If you sold it for 4,84,050\displaystyle 4,84,050, what was your annual return on investment?
MCQ
1563
The Earning Per Share (EPS) of a company for five years is given below:YearEPS201940202025202140202240202390Calculate the Compounded Annual Growth Rate (CAGR) of EPS
MCQ
1564
A Perpetuity has a cash flow of 625\displaystyle 625 and a required rate of return of 8%\displaystyle 8\%. If the cash flow is expected to grow at a constant rate of 4%\displaystyle 4\% per year, then the intrinsic value of this perpetuity (present value of growing perpetuity) is:
MCQ
1565
An investor intends to purchase a three year 1,000\displaystyle 1,000 per value bond having nominal interest rate of 10%\displaystyle 10\%. Aat what price the bond may be purchased now if it matures at par and the investor requires a rate of return of 12%\displaystyle 12\%?
MCQ
1566
A machine can be purchased for 50,000\displaystyle 50,000. Machine will be contributing 12,000\displaystyle 12,000 per year for the next five years. Assuming borrowing cost is 10%\displaystyle 10\% per annum. Determine whether machine should be purchased or not
MCQ
1567
A company is considering proposal of purchasing a machine either by making full payment of 4000\displaystyle 4000 or by leasing it for four years at an annual rent of 1250\displaystyle 1250. Which course of action is preferable if the company can borrow money at 14%\displaystyle 14\% compounded annually? [P(4,0.14)=2.9137\displaystyle P(4,0.14) = 2.9137]
MCQ
1568
A person desires to create a fund to be invested at 10%\displaystyle 10\% CI per annum to provide for a prize of 300\displaystyle 300 every year. Using V=a/i\displaystyle V = a/i find V\displaystyle V and V\displaystyle V will be
MCQ
1569
A company is considering proposal of purchasing a machine either by making full payment of 4,000\displaystyle 4,000 or by leasing it for 4\displaystyle 4 years at an annual rent of 1250\displaystyle 1250. Which course of action is preferable if the company can borrow money at 14%\displaystyle 14\% per annum? [Given: (1.14)4=1.6870\displaystyle (1.14)^4 = 1.6870 ]
MCQ
1570
A company is considering proposal of purchasing a machine either by making full payment of 4,000\displaystyle 4,000 or by leasing it for four years at an annual rate of 1,250\displaystyle 1,250. Which course of action is preferable if the company can borrow
MCQ
1571
money at 14%\displaystyle 14\% compounded annually? [ P(4,0.14)=2.9137\displaystyle P(4,0.14) = 2.9137 ]
MCQ
1572
A machine can be purchased for 50,000\displaystyle 50,000. Machine will contribute 12,000\displaystyle 12,000 per year for the next five years. Assume borrowing cost is 10%\displaystyle 10\% per annum. Determine whether machine should be purchased or not? P(5,0.10)=3.79079\displaystyle P(5,0.10) = 3.79079
MCQ
1573
A 1,000\displaystyle 1,000 bond paying annual dividends at 8.5%\displaystyle 8.5\% will be redeemed at par at the end of 10\displaystyle 10 years. Find the purchase price of this bond if the investor wishes a yield rate of 8%\displaystyle 8\%.
MCQ
1574
Nominal Rate of Return =
MCQ
1575
Net Present Value >0\displaystyle > 0, then
MCQ
1576
Net Present Value (NPV)
MCQ
3961
If the cost of capital be 12%\displaystyle 12\% per annum, then the Net Present Value (in nearest Rs.) from the given cash flow is given as (in thousands)Year: 0, 1, 2, 3Operating profit: (100), 60, 40, 50
MCQ
1578
Find CAGR, if the operating profit of a manufacturer for five years is given asYr.: 1, 2, 3, 4, 5, 6OP: 90, 100, 106.4, 107.14, 120.24, 157.35
MCQ
1579
The nominal rate of growth is 17%\displaystyle 17\% and inflation is 9%\displaystyle 9\% for the five years. Let P\displaystyle P be the Gross Domestic Product (GDP) amount at the present year then the projected real GDP after 6\displaystyle 6 years is
MCQ
1580
A person desires to create a fund to be invested at 10%\displaystyle 10\% CI per annum to provide for a prize of 300\displaystyle 300 every year. Using V=a/i\displaystyle V = a/i find V\displaystyle V
MCQ
1581
Determine the present value of perpetuity of 50,000\displaystyle 50,000 per month at the rate interest 12%\displaystyle 12\% p.a.
MCQ
1582
Assuming that the discount rate is 7%\displaystyle 7\% p.a. How much would you pay to receive 500\displaystyle 500. Growing at 5%\displaystyle 5\% annually forever?
MCQ
1583
Ravi made an investment of 15,000\displaystyle 15,000 in a scheme and at the time of maturity, the amount was 25,000\displaystyle 25,000. If the Compound Annual Growth Rate (CAGR) for this investment is 8.88%\displaystyle 8.88\%. Calculate the approximate number of years for which he has invested the amount.
MCQ
1584
A machine with useful life of 7\displaystyle 7 years costs 10,000\displaystyle 10,000 while another machine with useful life of 5\displaystyle 5 years costs 8,000\displaystyle 8,000. The first machine saves labour expenses of 1,900\displaystyle 1,900 annually and the second one saves labour expenses of 2,200\displaystyle 2,200 annually. Determine the preferred course of action. Assume cost of borrowing as 10%\displaystyle 10\% compounded per annum.
MCQ
1585
10 years ago the earning per share (EPS) of ABC Ltd. was 5\displaystyle 5 share its EPS for this year is 22\displaystyle 22. Compute at what rate, EPS of the company grow annually?
MCQ
1586
A company is considering proposal of purchasing a machine full payment of 4000\displaystyle 4000 or by leasing it for 4\displaystyle 4 years at an annual rent of 1280\displaystyle 1280. Which course of action is preferable if the company can borrow money at 14%\displaystyle 14\% compounded annually?
MCQ
1587
Find the purchase price of a 1000\displaystyle 1000 bond redeemable all the paring annual dividends at 4%\displaystyle 4\% if the yield rate is to be 5%\displaystyle 5\% effective.
MCQ
1588
A stock pays annually an amount of Rs. 10\displaystyle 10 from 6th\displaystyle 6^{th} year onwards. What is the present value of perpetuity, if the rate of return is 20%\displaystyle 20\%.
MCQ
1589
If the nominal rate of growth is 17%\displaystyle 17\% and inflation is 9%\displaystyle 9\% for the five years. Let P\displaystyle P be the Gross Domestic Product (GDP) amount at the present year then the projected real GDP after 6\displaystyle 6 years is
MCQ
1590
If discounted rate is 14%\displaystyle 14\% per annum, then how much company has to receive Rs.280\displaystyle 280 growing at 9%\displaystyle 9\% annually forever?
MCQ
1591
A machine can be purchased for 50,000\displaystyle 50,000. Machine will contribute 12000\displaystyle 12000 per year for the next five years. Assume borrowing cost is 10%\displaystyle 10\% per annum compounded annually. Determine whether machine should be purchased or not.
MCQ
1592
A 1000\displaystyle 1000 bond paying annual dividends at 8.5%\displaystyle 8.5\% will be redeemed at par at the end of 10\displaystyle 10 years. Find the purchase price of this bond if the investor wishes a yield rate of 8%\displaystyle 8\%.
MCQ
1593
Assuming that the discount rate is 10%\displaystyle 10\% per annum, how much would you pay to receive 800\displaystyle 800, growing at 8%\displaystyle 8\% annually, forever?
MCQ
1594
In ______ receipts / payments takes place forever.
MCQ
1595
Net Present value ≥0\displaystyle \ge 0, then
MCQ
1596
Assuming, that discount rate is 7%\displaystyle 7\% per annum, how much would you pay to receive Rs.50\displaystyle 50, growing at 5%\displaystyle 5\%, annually, forever.
MCQ
1597
The value of the present value of a sequence of payments of Rs 80\displaystyle \text{Rs }80 made at the end of each 6\displaystyle 6 months and continuity forever, if money is worth 4%\displaystyle 4\% compounded semi-annually is
MCQ
4010
A sum of ₹ 725 is lent in the beginning of a year at a certain rate of simple interest. After 8 months, a sum of ₹ 362.50 more is lent but at the rate twice the former. At the end of the year, ₹ 33.50 is earned as interest from both the loans. What was the original rate of interest?
MCQ
4011
There is 60% increase in amount in 6 years at simple interest. What will be the compound interest of ₹ 12,000 after three years at the same rate?
MCQ
4012
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is
MCQ
4013
The compound interest on a certain sum for 2 years at 10% per annum is ₹ 525. The simple interest on the same sum for double the time at half the rate percent per annum is -
MCQ
4014
Find the future value of an investment of ₹ 7,000 compounded quarterly at 10% per annum for 3 years.[Given that (1.025)12=1.34489\displaystyle (1.025)^{12} = 1.34489]
MCQ
4015
Raju will pay instalments of ₹ 3,150 per month for the next 3 years towards his loan at an interest rate 12.4%, discounted monthly, what was the approximate amount of loan taken initially?[Given that (1.01033)36=1.448\displaystyle (1.01033)^{36} = 1.448]
MCQ
4016
Shiv deposits ₹ 10,000 annually in a bank for 5 years, at 10 percent annual compounding interest rate. Calculate the approximate value of this series of deposits at the end of five years, if each deposit occurs at the beginning of the year.
MCQ
4017
If you deposit ₹ 4,000 into an account paying 6% annual interest compounded quarterly, how much approximate money will be in the account after 5 years?[Given that (1.015)20=1.34489\displaystyle (1.015)^{20} = 1.34489]
MCQ
4018
Relationship between annual nominal rate of interest and annual effective rate of interest, if frequency of compounding is greater than one
MCQ
4019
Madhu invests ₹ 15,000 in a scheme and at the time of maturity the amount became ₹ 25,000. If CAGR for this investment is 8.88%, calculate the approximate number of years for which she has invested the amount.[Given that log⁡(1.667)=0.2219\displaystyle \log(1.667) = 0.2219 and log⁡(1.089)=0.037\displaystyle \log(1.089) = 0.037]
MCQ
4020
How much approximate amount should you save annually to accumulate ₹ 20,00,000 by the end of 12 years, if the saving earns an interest of 14 percent compound annually? [Given that (1.14)12=4.8179\displaystyle (1.14)^{12} = 4.8179]
MCQ
4021
Dinesh received a cash bonus of ₹ 1,00,000 which he deposited in a bank which pays 10 percent interest compounded annually. How much approximate equal amount can Dinesh withdraw annually for a period of 10 years?[Given that (1.1)10=2.59374\displaystyle (1.1)^{10} = 2.59374]
MCQ
4022
Find the approximate future value of an annuity due of 500 per quarter for 8 years and 9 months at the interest rate of 6% compounded quarterly.[Given that (1.015)35=1.6839\displaystyle (1.015)^{35} = 1.6839]
MCQ
4023
A project is expected to provide cash inflows as follows for 3 years: Year 1: ₹ 40,000, Year 2: ₹ 50,000, Year 3: ₹ 30,000. The company's cost of capital or required rate of return is 15%. What is the present value of cash inflows of the company?
MCQ
4110
The compound interest on ₹ 1,00,000 compounded quarterly, for 9 months at 4% per annum is ₹
MCQ
4111
The difference between the compound interest and the simple interest on a certain sum at 12% per annum for 2 years is ₹ 90, when the interest is compounded annually. Then the sum is ₹
MCQ
4112
A machine is depreciated at the rate of 15% on the reducing balance. The original cost of machine was ₹ 2,00,000. In approximately how many years, the value of machine was ₹ 54,000? (Given: 0.854=0.522\displaystyle 0.85^4 = 0.522)
MCQ
4113
Mohan invests ₹ 25,000 every year starting from today for next 5 years Interest rate is 7% per annum compounded annually. The future value of the annuity is ₹__________. (Given (1+0.07)5=1.40255\displaystyle (1+0.07)^5 = 1.40255)
MCQ
4114
Mr. X borrowed ₹ 6000 from Mr. Y at 10% per annum simple interest. After two years Mr. X wanted to repay this amount, Mr. Y is insisted on paying the amount at compound interest at the same rate compounded annually. How much extra does Mr. X have to pay?
MCQ
4115
If ₹ 2,470 is obtained as an interest in 4 years and 4 months at the rate of 3% per annum simple interest rate in bank deposit, how much amount was deposited in ₹?
MCQ
4116
The compound interest of ₹ 4,900 is ₹ 1661 for 2 years at a certain rate of interest, compounded annually. What is the rate of interest per annum in percentage?
MCQ
4117
If Mr. XYZ is investing ₹ 86,000 in a bank fixed deposit scheme where interest will be payable at 12% per annum, compounded half-yearly, what will be the effective rate of interest in a year?
MCQ
4118
Ms. Y invested ₹ 2,00,000 in a mutual fund equity scheme. She redeemed entire investment after 96 months and received ₹ 6,00,000 after redemption. What was the Compound Annual Growth Rate (CAGR) in percentage? (Given: 1.14724=1.732\displaystyle 1.1472^4 = 1.732)
MCQ
4119
A loan of ₹ 5,000 is lent for three years at the rate of 10% per annum, compounded semi-annually. The future value of the money is ₹ ________ (Given: 1.056=1.34\displaystyle 1.05^6 = 1.34)
MCQ
4120
One person wants to have ₹ 20,000 at the end of six years. Hence, he deposits ₹ _________ (rounded in rupee) in a fund that pays 3% per annum, compounded annually. (Given : 1.036=1.194\displaystyle 1.03^6 = 1.194)
MCQ
4121
Suppose you deposit ₹ 1,000 today, ₹ 2,000 after one year from today and 3,000 after two years from today, in a deposit that pays 10% per annum, compounded annually. What is the balance in the deposit at the end of two year in just after deposit of ₹ 3,000?
MCQ
4122
You are interested in an investment of ₹ 5,000 in a fund that promises ₹ 50 at the end of each year, forever. What is the annual interest rate on this investment?
MCQ
4123
An investment was priced at ₹ 100 per share in year 0, priced at 150 per share in the end of the first year, and priced ₹ 200 per share in the end of second year. What is the Compound Annual Growth Rate (CAGR) of the investment?
MCQ
4204
If a sum double itself in 8 years, then in how many years it will becomes four times, assuming that the simple interest is calculated.
MCQ
4205
Mr. XYZ is investing a certain amount at the end of each month in his account. He is supposed to get interest 12% per annum compounded monthly. If the future value of this annuity after the 10th\displaystyle 10^{th} payment is ₹ 50,000, then amount invested by Mr. XYZ in each month will be? Given (1.01)10=1.104622\displaystyle (1.01)^{10} = 1.104622
MCQ
4206
If an amount is compounded annually so that it tripled itself in 4 years, then the annual rate of interest is (Given that 31/4=1.316\displaystyle 3^{1/4} = 1.316)
MCQ
4207
Bank B provides loans at 15% per annum compound interest. If Mr. XYZ borrowed ₹ 3,200 for 2 years from Bank B, then how much interest must Mr. XYZ pay to his bank?
MCQ
4208
An investor intends to purchase a three years bond at a price of ₹ 907.125 having nominal interest rate of 10%. What is the par value of the bond if it matures at par and the investor requires returns at the rate of 14%?
MCQ
4209
A sinking fund is created for replacement of machine at the end of 20 years. Its present cost is ₹ 8,00,000. After 20 years cost of new machine would be ₹ 10,00,000, How much provision need to be made out of the profit each year provided sinking fund investments can earn interest at the rate of 7% pa? The scrap value of the machine at the end of 20 years would be ₹ 2,00,000. Given 1.0720=3.8697\displaystyle 1.07^{20}= 3.8697.
MCQ
4210
The net asset value (NAV) of a Mutual Fund is calculated at the end of the financial year. For the last five years following values are computed. Year: 2021(100), 2022(115), 2023(150), 2024(120), 2025(200). Calculate the Compounded Annual Growth Rate of NAV.
MCQ
4253
If ₹ 80,000 grows to ₹ x in 3 years at compound interest compounded annually at 8% rate of interest per annum, then the value of x is:
MCQ
4254
The value of compound interest (in nearest ₹) if ₹ 30,00,000 is deposited in a bank for 1 year at the rate of 16% per annum compounded quarterly is:
MCQ
4256
The present value (in nearest ₹) of an annuity of ₹ 90,000 for 13 years at 5.5% compounded annually is (Given 1.055−13=0.4985\displaystyle 1.055^{-13} = 0.4985)
MCQ
4257
Ms. Rina buys a refrigerator worth ₹ 25,000. She pays ₹ 5,000 upfront and agrees to settle the remaining amount through five equal annual installments. The unpaid balance carries an interest of 18% per annum, compounded annually. Calculate the approximate value of each annual installment. Given P(5,0.18)=3.12717\displaystyle P(5, 0.18)=3.12717.
MCQ
4258
A sum of money lent at compound interest for 2 years at 20% p.a. would fetch ₹ 482/- more if the interest was payable half yearly then if it was payable annually. What is the value of sum deposited?
MCQ
4259
Mr. Ravi allocates a corpus of ₹ 50,000 into a term deposit account which accrues interest at a nominal annual rate of 10%, compounded on a quarterly basis. What will be the effective annual rate of interest?
MCQ
4260
Shiva invested an amount of ₹ 12,000 at the rate of 10% pa simple interest and another amount at the rate of 20% pa simple interest. The total interest earned at the end of the year on total amount invested became 14% pa. Find the total amount invested.
MCQ
1390
The sum required to earn a monthly interest of Rs.1200\displaystyle 1200 at 18%\displaystyle 18\% P.a Simple Interest is -
MCQ
1189
The certain sum of money became Rs. 692\displaystyle \text{Rs. }692 in 2\displaystyle 2 years and Rs. 800\displaystyle \text{Rs. }800 in 5\displaystyle 5 years then the principal amount is
MCQ
1350
What will be the population after 3\displaystyle 3 years when present population is 25000\displaystyle 25000, if the population increases at the rate 3%\displaystyle 3\% in I year, 4%\displaystyle 4\% in II year and 5%\displaystyle 5\% in III year.
MCQ
1266
The sum required to earn a monthly interest of 1,200\displaystyle 1,200 at 18%\displaystyle 18\% per annum simple interest is:
MCQ
1391
Sachin deposited Rs.1,00,000\displaystyle 1,00,000 in his bank for 2\displaystyle 2 years at simple interest of 6%\displaystyle 6\%. How much interest would he earns? How much final value of deposit
MCQ
1272
A lent 6000\displaystyle 6000 to B for 2\displaystyle 2 years and 1500\displaystyle 1500 to C for 4\displaystyle 4 years and received total interest of 900\displaystyle 900 from both. The rate of interest when simple interest method calculated.
MCQ
1281
A Sum of money doubles itself in 10\displaystyle 10 years. The number of years it would be trebled itself is:
MCQ
1225
A certain sum amounts to 15,748\displaystyle 15,748 in 3\displaystyle 3 years at simple interest at 1%\displaystyle 1\% p.a. The same sum amounts to 16,510\displaystyle 16,510 at r+2%\displaystyle r+2\% p.a. SI in the same time. What is the value of r\displaystyle r?
MCQ
1316
A sum of money doubles itself in 10\displaystyle 10 years. The number of years it would treble itself is:
MCQ
1410
If the difference between the compound interest compounded annually and simple interest on a certain amount at 10%\displaystyle 10\% per annum for two years is Rs. 372\displaystyle \text{Rs. }372, then the principal amount is
MCQ
1330
The sum of money doubles itself in 10\displaystyle 10 years. The number of years it would treble itself is:
MCQ
1230
R needs money to pay 5,00,000\displaystyle 5,00,000 in 10\displaystyle 10 years. He invested a sum in a scheme at 9%\displaystyle 9\% rate of interest compounded half-yearly. How much amount (in )heinvested?\displaystyle ) he invested?1.046^{20}=2.41171$
MCQ
1336
A sum of 46,875\displaystyle 46,875 was lent out at simple interest and at the end of 1\displaystyle 1 year 8\displaystyle 8 months, the total amount was 50,000\displaystyle 50,000. Find the rate of interest per annum.
MCQ
1290
The difference between CI and SI on a certain money invested for three years at 6%\displaystyle 6\% per annum is 110.16\displaystyle 110.16. The sum is
MCQ
1377
80,000\displaystyle 80,000 is invested to earn a monthly interest of 1,200\displaystyle 1,200 at the rate of ______ p.a. SI
MCQ
1219
A man invested one-third of his capital at 7%\displaystyle 7\%, one fourth at 8%\displaystyle 8\% and the remainder at 10%\displaystyle 10\%. If the annual income is 561\displaystyle 561. The capital is -
MCQ
1268
At a certain rate of interest per annum, the difference between the compound interest and simple interest on 3,00,000\displaystyle 3,00,000 for two years is 2,400\displaystyle 2,400, then the rate of interest per annum is:
MCQ
1301
A=5,200,R=5%\displaystyle A = 5,200, R = 5\% p.a., T=6\displaystyle T = 6 years, P\displaystyle P will be
MCQ
1403
If the Compound Interest on a certain sum of money for 2 years at 4%\displaystyle 4\% p.a. be 510\displaystyle 510, then its simple Interest (S.I.) of same time at same rate of interest is
MCQ
1208
Find the compound interest if an amount of 50,000\displaystyle 50,000 is deposited in bank for one year at the rate of 8%\displaystyle 8\% per annum compounded semi-annually.
MCQ
1223
What is the compound interest (in )onasumof\displaystyle ) on a sum of12,600for\displaystyle for1.25yearsat\displaystyle years at20\%$ per annum if the interest is compounded half yearly?
MCQ
1237
A farmer borrowed 3,600\displaystyle 3,600 at the rate of 15%\displaystyle 15\% simple interest p.a. At the end of 4\displaystyle 4 years, he cleared this account by paying 4,000\displaystyle 4,000 and a cow. The cost of the cow is:
MCQ
1277
The compound interest on a certain sum is 200\displaystyle 200 209\displaystyle 209 simple interest is 200\displaystyle 200 for 2\displaystyle 2 years. What is the rate per cent for 2\displaystyle 2 years?
MCQ
1182
If in two years' time a principal of Rs. 100\displaystyle \text{Rs. }100 amounts to Rs. 121\displaystyle \text{Rs. }121 when the interest at r%\displaystyle r\% is compounded annually, then the value of r\displaystyle r is
MCQ
1370
The difference in simple interest of a sum invested of Rs. 1,500\displaystyle \text{Rs. }1,500 for 3\displaystyle 3 years is Rs. 18\displaystyle \text{Rs. }18. The difference in their rates is
MCQ
1255
Compute the compound interest on 6,000\displaystyle 6,000 for 1.25\displaystyle 1.25 years at 8%\displaystyle 8\% per annum. Interest will be compounded quarterly
MCQ
1435
A man invests an amount of 15,860\displaystyle 15,860 in the names of his three sons A, B and C in such a way that they get the same interest after 2,3\displaystyle 2, 3 and 4\displaystyle 4 years respectively. If the rate of interest is 5%\displaystyle 5\% then the ratio of amount invested in the name of A, B and C is:
MCQ
1199
Find the effective rate of interest at 10%\displaystyle 10\% p.a. which interest is payable quarterly
MCQ
1229
A company needs money to 10,000\displaystyle 10,000 in five years to replace as equipment. How much (in )shouldbeinvestednowataninterestrateof\displaystyle ) should be invested now at an interest rate of8\%$ p.a. is order to provide for this equipment?
MCQ
1239
Mr. Prakash invested money in two schemes 'A' and 'B' offering compound interest at the rate of 8%\displaystyle 8\% and 9%\displaystyle 9\% p.a. respectively. If the total amount of interest accrued through these two schemes together in two years was 4,816.30\displaystyle 4,816.30 and total amount invested was 27,000\displaystyle 27,000. What was the amount invested in schemes 'A'?
MCQ
1254
A machine costing 1,00,000\displaystyle 1,00,000 has useful life of 10\displaystyle 10 years. If the rate of depreciation is 12%\displaystyle 12\% what is scrap value of the machine at the end of life? Given (0.88)10=0.27850\displaystyle (0.88)^{10} = 0.27850
MCQ
3956
Nominal rate of interest 9.9%\displaystyle 9.9\% p.a. If interest is compounded monthly. What will be the effective rate of Interest
MCQ
1353
Find the effective rate of interest if an amount of 30,000\displaystyle 30,000 deposited in a bank. For 1\displaystyle 1 year at the rate of 10%\displaystyle 10\% p.a. compounded semi-annually.
MCQ
3947
The ratio of principal and the compounded interest value for three years (Compounded annually) is 216:127\displaystyle 216:127. The rate of interest is
MCQ
1381
Mr. A invested X\displaystyle X in an organization, it amounts to 150\displaystyle 150 at 5%\displaystyle 5\% p.a. S.I. and to 100\displaystyle 100 at 3%\displaystyle 3\% p.a. S.I. Then the value of X\displaystyle X is
MCQ
3942
If the compound interest on a certain sum of money for 2\displaystyle 2 years at 5%\displaystyle 5\% p.a. be 50.44\displaystyle 50.44, then the simple interest (S.I.) is
MCQ
3948
The annual birth and death rates per 1,000\displaystyle 1,000 are 39.4\displaystyle 39.4 and 19.4\displaystyle 19.4 respectively. The number of years in which the population will be doubled assuming there is no immigration or emigration is
MCQ
1176
A person borrows Rs. 5,000\displaystyle \text{Rs. }5,000 for 2\displaystyle 2 years at 4%\displaystyle 4\% per annual simple interest. He immediately lends to another person at 6.25%\displaystyle 6.25\% per annum for 2\displaystyle 2 years find his gain in the transaction for year:
MCQ
1448
If the desired future value after 5\displaystyle 5 years with 18%\displaystyle 18\% interest rate is ₹1,50,000\displaystyle ₹ 1,50,000, then the present value (in ₹\displaystyle ₹) is
MCQ
1180
A certain amount of money doubles itself in 10\displaystyle 10 years when deposited on simple interest. It would triple itself in
MCQ
1439
Find the future value of annuity of ₹1,000\displaystyle ₹ 1,000 made annually for 7\displaystyle 7 years at interest rate of 14%\displaystyle 14\% compounded annually. Given that (1.14)7=2.5023\displaystyle (1.14)^7 = 2.5023.
MCQ
1183
A certain sum of money Q\displaystyle Q was deposited for 5\displaystyle 5 years and 4\displaystyle 4 months at 4.5%\displaystyle 4.5\% simple interest and amounted to Rs. 248\displaystyle \text{Rs. }248, then the value of Q\displaystyle Q is
MCQ
1441
A five year annuity due has periodic cash flow of ₹100\displaystyle ₹ 100 each year. If the interest rate is 8%\displaystyle 8\% the future value of this annuity is given by:
MCQ
1455
Anshika took a loan of ₹1,00,000\displaystyle ₹ 1,00,000 @ 8%\displaystyle 8\% for 5\displaystyle 5 years. What amount will she pay if she wants to pay the whole amount in five equal installments?
MCQ
1216
The simple interest on sum at 4%\displaystyle 4\% p.a. for 2\displaystyle 2 years is 80\displaystyle 80. Find the CI on the same sum for the same period.
MCQ
1356
The rate of interest for the first 2\displaystyle 2 year is 3%\displaystyle 3\% per annum, for next 3\displaystyle 3 years is 8%\displaystyle 8\% per annum and for the period beyond 5\displaystyle 5 years, 10%\displaystyle 10\% per annum. If a man gets 1520\displaystyle 1520 as a simple interest for 6\displaystyle 6 years, how much money did he deposit?
MCQ
1465
A company want to replace its existing tool room machine at the end of 10\displaystyle 10 years, the expected cost of machine would be 10,00,000\displaystyle 10,00,000. If management of the company creates a Sinking Fund, how much provision needs to be made out of revenue each year which can earn at the rate of 10%\displaystyle 10\% compounded annually?
MCQ
1228
Rahul invested 70,000\displaystyle 70,000 in a bank at the rate of 6.5%\displaystyle 6.5\% p.a. simple interest rate. He received 85,925\displaystyle 85,925 after the end of term. Find out the period for which sum was invested by Rahul.
MCQ
1245
The difference between compound interest and simple interest on a certain sum of money invested for 3\displaystyle 3 years at 6%\displaystyle 6\% per annum is 110.16\displaystyle 110.16. The principal is
MCQ
1466
A car is available for 4,98,200\displaystyle 4,98,200 cash payment or 60,000\displaystyle 60,000 cash down payment followed by three equal annual instalments. If the rate of interest charged is 14%\displaystyle 14\% per annum compounded yearly, then total interest charged in the instalment plan is (Given P(2.0,14)=2.32163\displaystyle P(2.0,14) = 2.32163):
MCQ
1440
Find the present value of ₹1,00,000\displaystyle ₹ 1,00,000 to be required after 5\displaystyle 5 years if the interest rate be 9%\displaystyle 9\%. Given that (1.09)5=1.5386\displaystyle (1.09)^5 = 1.5386.
MCQ
1469
Suppose Mr. X invested 5,000\displaystyle 5,000 every year starting from today in mutual fund for next 10\displaystyle 10 years. Assuming that interest compounded annually is at 18%\displaystyle 18\% p.a.. What is future value?
MCQ
4310
A sum of ₹ 725 is lent in the beginning of a year at a certain rate of simple interest. After 8 months, a sum of ₹ 362.50 more is lent but at the rate twice the former. At the end of the year, ₹ 33.50 is earned as interest from both the loans. What was the original rate of interest?
MCQ
4311
There is 60% increase in amount in 6 years at simple interest. What will be the compound interest of ₹ 12,000 after three years at the same rate?
MCQ
4312
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is
MCQ
4313
The compound interest on a certain sum for 2 years at 10% per annum is ₹ 525. The simple interest on the same sum for double the time at half the rate percent per annum is -
MCQ
4314
Find the future value of an investment of ₹ 7,000 compounded quarterly at 10% per annum for 3 years.[Given that (1.025)12=1.34489\displaystyle (1.025)^{12} = 1.34489]
MCQ
4315
Raju will pay instalments of ₹ 3,150 per month for the next 3 years towards his loan at an interest rate 12.4%, discounted monthly, what was the approximate amount of loan taken initially?[Given that (1.01033)36=1.448\displaystyle (1.01033)^{36} = 1.448]
MCQ
4316
Shiv deposits ₹ 10,000 annually in a bank for 5 years, at 10 percent annual compounding interest rate. Calculate the approximate value of this series of deposits at the end of five years, if each deposit occurs at the beginning of the year.
MCQ
4317
If you deposit ₹ 4,000 into an account paying 6% annual interest compounded quarterly, how much approximate money will be in the account after 5 years?[Given that (1.015)20=1.34489\displaystyle (1.015)^{20} = 1.34489]
MCQ
4318
Relationship between annual nominal rate of interest and annual effective rate of interest, if frequency of compounding is greater than one
MCQ
4319
Madhu invests ₹ 15,000 in a scheme and at the time of maturity the amount became ₹ 25,000. If CAGR for this investment is 8.88%, calculate the approximate number of years for which she has invested the amount.[Given that log⁡(1.667)=0.2219\displaystyle \log(1.667) = 0.2219 and log⁡(1.089)=0.037\displaystyle \log(1.089) = 0.037]
MCQ
4320
How much approximate amount should you save annually to accumulate ₹ 20,00,000 by the end of 12 years, if the saving earns an interest of 14 percent compound annually? [Given that (1.14)12=4.8179\displaystyle (1.14)^{12} = 4.8179]
MCQ
4321
Dinesh received a cash bonus of ₹ 1,00,000 which he deposited in a bank which pays 10 percent interest compounded annually. How much approximate equal amount can Dinesh withdraw annually for a period of 10 years?[Given that (1.1)10=2.59374\displaystyle (1.1)^{10} = 2.59374]
MCQ
4322
Find the approximate future value of an annuity due of 500 per quarter for 8 years and 9 months at the interest rate of 6% compounded quarterly.[Given that (1.015)35=1.6839\displaystyle (1.015)^{35} = 1.6839]
MCQ
4323
A project is expected to provide cash inflows as follows for 3 years: Year 1: ₹ 40,000, Year 2: ₹ 50,000, Year 3: ₹ 30,000. The company's cost of capital or required rate of return is 15%. What is the present value of cash inflows of the company?
MCQ
4410
The compound interest on ₹ 1,00,000 compounded quarterly, for 9 months at 4% per annum is ₹
MCQ
4411
The difference between the compound interest and the simple interest on a certain sum at 12% per annum for 2 years is ₹ 90, when the interest is compounded annually. Then the sum is ₹
MCQ
4412
A machine is depreciated at the rate of 15% on the reducing balance. The original cost of machine was ₹ 2,00,000. In approximately how many years, the value of machine was ₹ 54,000? (Given: 0.854=0.522\displaystyle 0.85^4 = 0.522)
MCQ
4413
Mohan invests ₹ 25,000 every year starting from today for next 5 years Interest rate is 7% per annum compounded annually. The future value of the annuity is ₹__________. (Given (1+0.07)5=1.40255\displaystyle (1+0.07)^5 = 1.40255)
MCQ
4414
Mr. X borrowed ₹ 6000 from Mr. Y at 10% per annum simple interest. After two years Mr. X wanted to repay this amount, Mr. Y is insisted on paying the amount at compound interest at the same rate compounded annually. How much extra does Mr. X have to pay?
MCQ
4415
If ₹ 2,470 is obtained as an interest in 4 years and 4 months at the rate of 3% per annum simple interest rate in bank deposit, how much amount was deposited in ₹?
MCQ
4416
The compound interest of ₹ 4,900 is ₹ 1661 for 2 years at a certain rate of interest, compounded annually. What is the rate of interest per annum in percentage?
MCQ
4417
If Mr. XYZ is investing ₹ 86,000 in a bank fixed deposit scheme where interest will be payable at 12% per annum, compounded half-yearly, what will be the effective rate of interest in a year?
MCQ
4418
Ms. Y invested ₹ 2,00,000 in a mutual fund equity scheme. She redeemed entire investment after 96 months and received ₹ 6,00,000 after redemption. What was the Compound Annual Growth Rate (CAGR) in percentage? (Given: 1.14724=1.732\displaystyle 1.1472^4 = 1.732)
MCQ
4419
A loan of ₹ 5,000 is lent for three years at the rate of 10% per annum, compounded semi-annually. The future value of the money is ₹ ________ (Given: 1.056=1.34\displaystyle 1.05^6 = 1.34)
MCQ
4420
One person wants to have ₹ 20,000 at the end of six years. Hence, he deposits ₹ _________ (rounded in rupee) in a fund that pays 3% per annum, compounded annually. (Given : 1.036=1.194\displaystyle 1.03^6 = 1.194)
MCQ
4421
Suppose you deposit ₹ 1,000 today, ₹ 2,000 after one year from today and 3,000 after two years from today, in a deposit that pays 10% per annum, compounded annually. What is the balance in the deposit at the end of two year in just after deposit of ₹ 3,000?
MCQ
4422
You are interested in an investment of ₹ 5,000 in a fund that promises ₹ 50 at the end of each year, forever. What is the annual interest rate on this investment?
MCQ
4423
An investment was priced at ₹ 100 per share in year 0, priced at 150 per share in the end of the first year, and priced ₹ 200 per share in the end of second year. What is the Compound Annual Growth Rate (CAGR) of the investment?
MCQ
4504
If a sum double itself in 8 years, then in how many years it will becomes four times, assuming that the simple interest is calculated.
MCQ
4505
Mr. XYZ is investing a certain amount at the end of each month in his account. He is supposed to get interest 12% per annum compounded monthly. If the future value of this annuity after the 10th\displaystyle 10^{th} payment is ₹ 50,000, then amount invested by Mr. XYZ in each month will be? Given (1.01)10=1.104622\displaystyle (1.01)^{10} = 1.104622
MCQ
4506
If an amount is compounded annually so that it tripled itself in 4 years, then the annual rate of interest is (Given that 31/4=1.316\displaystyle 3^{1/4} = 1.316)
MCQ
4507
Bank B provides loans at 15% per annum compound interest. If Mr. XYZ borrowed ₹ 3,200 for 2 years from Bank B, then how much interest must Mr. XYZ pay to his bank?
MCQ
4508
An investor intends to purchase a three years bond at a price of ₹ 907.125 having nominal interest rate of 10%. What is the par value of the bond if it matures at par and the investor requires returns at the rate of 14%?
MCQ
4509
A sinking fund is created for replacement of machine at the end of 20 years. Its present cost is ₹ 8,00,000. After 20 years cost of new machine would be ₹ 10,00,000, How much provision need to be made out of the profit each year provided sinking fund investments can earn interest at the rate of 7% pa? The scrap value of the machine at the end of 20 years would be ₹ 2,00,000. Given 1.0720=3.8697\displaystyle 1.07^{20}= 3.8697.
MCQ
4510
The net asset value (NAV) of a Mutual Fund is calculated at the end of the financial year. For the last five years following values are computed. Year: 2021(100), 2022(115), 2023(150), 2024(120), 2025(200). Calculate the Compounded Annual Growth Rate of NAV.
MCQ
4553
If ₹ 80,000 grows to ₹ x in 3 years at compound interest compounded annually at 8% rate of interest per annum, then the value of x is:
MCQ
4554
The value of compound interest (in nearest ₹) if ₹ 30,00,000 is deposited in a bank for 1 year at the rate of 16% per annum compounded quarterly is:
MCQ
4556
The present value (in nearest ₹) of an annuity of ₹ 90,000 for 13 years at 5.5% compounded annually is (Given 1.055−13=0.4985\displaystyle 1.055^{-13} = 0.4985)
MCQ
4557
Ms. Rina buys a refrigerator worth ₹ 25,000. She pays ₹ 5,000 upfront and agrees to settle the remaining amount through five equal annual installments. The unpaid balance carries an interest of 18% per annum, compounded annually. Calculate the approximate value of each annual installment. Given P(5,0.18)=3.12717\displaystyle P(5, 0.18)=3.12717.
MCQ
4558
A sum of money lent at compound interest for 2 years at 20% p.a. would fetch ₹ 482/- more if the interest was payable half yearly then if it was payable annually. What is the value of sum deposited?
MCQ
4559
Mr. Ravi allocates a corpus of ₹ 50,000 into a term deposit account which accrues interest at a nominal annual rate of 10%, compounded on a quarterly basis. What will be the effective annual rate of interest?
MCQ
4560
Shiva invested an amount of ₹ 12,000 at the rate of 10% pa simple interest and another amount at the rate of 20% pa simple interest. The total interest earned at the end of the year on total amount invested became 14% pa. Find the total amount invested.
MCQ
5618
5. Purchased raw material to manufacture finished goods. Such finished goods to be sold to potential customers under Scheme ‘Buy one get one free’. 1,50,000 Compute the amount of net ITC available to M/s Poorvi Ltd. for the month of August 2024 with necessary explanations for the treatment of all the items in the table as per the provision of the CGST Act, 2017 or CGST Rules, 2017 wherever applicable. Subject to information given above, all other conditions necessary for availing the ITC have been fulfilled. (5 Marks) (
MCQ
5621
Question 7 (a) Mr. Ranjan availed ITC of ` 1,00,000 in GSTR-3B for the month of June, 2024. The Output tax liability for June 2024 was Nil. His intra-State output supply for the month of July 2024 was ` 5,00,000 (excluding GST). He utilized the available ITC against the output tax liability for the month of July 2024 while 2 Vishwakarma Technical Institute qualifies as an educational institution since it is an ITI which provides courses notified under Apprentices Act, 1961, i.e. approved vocational education courses. 3 It has been most logically assumed that ` 19,500 is room rent charges for ICCU. filing GSTR-3B. Mr. Ranjan found on 22nd September, 2024 that he wrongly availed ITC of ` 1,00,000 in the month of June 2024. He reversed the unutilized amount of wrongly availed ITC standing in credit ledger on 30th September, 2024 and paid the utilized amount of ITC by cash. The GST rate is 18%. Calculate the interest payable under the applicable GST law, if Mr. Ranjan filed: (i) Form GSTR-3B for the month of June 2024 on 19 July, 2024. (ii) Form GSTR-3B for the month of July 2024 was filed on 25 August, 2024. (Note: The due date of filing of GSTR-3B is 20th day of the following month. But the due date of filing of GSTR-3B was extended to 22nd August, 2024 for the month of July 2024) (5 Marks) (b) Briefly discuss the provisions related to inspection and verification of goods in transit as laid in Rule 138C of CGST Rules, 2017. (5 Marks)
Subjective
5619
Question 5 (a) MLM Private Limited, a registered person in Udaipur, Rajasthan engaged in various lines of business, provided the following details regarding the transactions undertook in the month of March, 2024: Outward Transactions Amount (`) Advance received from Mr. Gokul for Business support services to be supplied in the month of April, 2024. 2,00,000 Provided commissioning services under Pure labour contract to M/s Raj Builders of Jaipur, Rajasthan for Multi-storey residential complex. 5,00,000 Stock transferred without consideration to its branch in Jodhpur, Rajasthan. Branch has same GSTIN. 1,25,000 Outward sale of goods to various unrelated persons: Particulars Market Value (`) Transaction Value (`) Intra-State 5,00,000 5,75,000 As provided in the column Provided warehousing services for Kidney beans (Rajma), Red lentils and other pulses. 50,000 Inward Transactions Amount (`) Received Car rental services from Carman Private Limited, an unregistered company in Udaipur engaged in car renting services. MLM Private Limited paid rent on monthly basis (Cost of fuel also 1,20,000 TAXATION included in the monthly rent). [Rate of CGST and SGST is 6% each] Intra-State inward supply of various goods and services for use in the course or furtherance of business. 7,50,000 [Goods] 2,50,000[Services] Additional Information (i) The Company paid ` 50,000 to Mr. Ajay, an independent director, as sitting fees. (ii) The Company made donation of ` 4,50,000 to a local old age home (a trust not registered under GST) for setting a Water Cooler at old age home with the name of company embedded on the water cooler to express their support for the good cause. (iii) All the figures are exclusive of GST. (iv) All inward and outward supplies are intra-State except where otherwise stated. (v) Subject to information given above, all the conditions necessary for availing the ITC have been fulfilled. (vi) Rates of GST are given below except where otherwise stated: Particulars CGST SGST IGST Supply of Goods 6% 6% 12% Supply of Services 9% 9% 18% Calculate the net GST Payable in cash by MLM Private Limited for the month of March, 2024. Support your calculations with relevant reasons. (10 Marks) (b) Ajay, a registered person, provided the following details about transactions entered into by him in the month of July, 2024: (i) He sold 3,000 units of goods to Wellness Pharma @ ` 400 each. Under section 206C(1H) of Income Tax Act, 1961, he is required to collect tax (TCS) of ` 2,000 from Wellness Pharma. He included ` 2,000 as TCS in tax invoice issued to the party. (ii) Under a contract with State Government, he sold 1,000 units of goods (unit price is ` 400 per unit) @ ` 200 per unit to families of Economic Weaker Section (identified by State Government). Balance ` 200 per unit will be paid to him by State Government as subsidy. (iii) Issued credit notes worth ` 1,50,000 net of GST as discount to its registered dealers who purchased more than 5,000 units between October, 2023 to December, 2023 under Festival Bonanza Scheme declared on 01.10.2023. The above discount was provided invoice wise with a condition of reversal of ITC by registered dealer. (iv) Sold goods to Old Age Home for consideration of ` 1,00,000 (Normal Sale Value is` 2,00,000). SAMVEDNA, an NGO registered under Section 12AA of Income Tax Act, 1961 gave them a subsidy of ` 30,000 to acknowledge his services to elderly people living in old age home. (v) After analysis of sale report of first quarter, he decided to give discount of 1% to shopkeepers whose total purchases exceeds ` 25,00,000 during the quarter ending June, 2024. Total discount given to such shopkeepers is ` 1,30,000. Compute the taxable value of supply for the month of July, 2024 on which Mr. Ajay shall pay GST. Suitable notes and assumptions should form part of your answer. All the amounts stated above are exclusive of GST. (5 Marks)
Subjective
5622
Question 8 (a) As per Section 7 of the CGST Act, 2017 for the purposes of Goods and Services Tax, the expression "supply" includes all forms of supply of goods or services or both such as sale, transfer, barter, exchange, licence, rental, lease or 4 It has been logically assumed that date of payment is same as date of reversal i.e 30.09.2024. disposal made or agreed to be made for a consideration by a person in the course or furtherance of business. Discuss as per the provisions of the CGST Act, 2017 (or rules thereunder), when an activity can be treated as supply even if there is no consideration, or even if it is not in the course or furtherance of business. (5 Marks) (b) (i) Explain the provisions relating to the validity period of the registration certificate issued to Casual Taxable Person and Non-Resident Taxable Person. (2 Marks) (ii) List the deficiencies in the erstwhile value-added taxation which led to evolution of Goods and Services Tax. (3 Marks) OR (b) Section 31 of the CGST Act, 2017 requires that a tax invoice shall be issued before or at the time of delivery/ removal of goods. Specify the situations where a tax invoice can be issued after delivery of goods. Discuss the provisions related to issue of tax invoice and delivery challan in case of transportation of goods in a semi knocked down or completely knocked down condition or in batches or lots. (5 Marks)
Subjective
5620
Question 6 (a) M/s Poorvi Ltd, a registered supplier of various goods and services, provided the following information pertaining to GST paid on inward supplies for the month of August, 2024. Sr No. Particulars GST Paid (`) 1. Purchased goods which are used for activities related to his obligation under corporate social responsibility referred to in section 135 of The Companies Act, 2013. 3,00,000 2. Purchased raw material worth ` 5,90,000 including GST in 5 lots. 3. lots of raw material worth ` 3,00,000 excluding GST received in the current month and remaining lots will be received in the month of September, 2024. 90,000 3. Company paid for outdoor catering expenses for the lunch of its factory employees during the lunch hours as per the policy of the company. There is no legal obligation to provide such lunch facility to the employees. 50,000 4. Purchased goods from M/s Om Traders -all goods and invoices were received by the company in August 2024, but one invoice out of these invoices has not been furnished by the supplier in the statement of outward supplies (using IFF). The GST paid on the invoice not furnished is ` 50,000. 2,00,000 TAXATION 5. Purchased raw material to manufacture finished goods. Such finished goods to be sold to potential customers under Scheme ‘Buy one get one free’. 1,50,000 Compute the amount of net ITC available to M/s Poorvi Ltd. for the month of August 2024 with necessary explanations for the treatment of all the items in the table as per the provision of the CGST Act, 2017 or CGST Rules, 2017 wherever applicable. Subject to information given above, all other conditions necessary for availing the ITC have been fulfilled. (5 Marks) (b) Examine the following independent cases and determine whether the services are taxable under GST Law: (i) Dhruv Printing Press, a registered entity under GST, received an order of ` 1,50,000 from Vishwakarma Technical Institute, a private ITI providing courses notified under Apprentices Act, 1961 for printing of pre- examination items like question papers, OMR sheets, Answer booklets required for conducting of examination by the institute. (ii) State Board of Education, a registered entity, charged ` 50,000 per year as affiliation charges from a school run by Dharampal Trust, registered under section 12AA of Income Tax Act, 1961 which gives education from class 1 to class 10. (iii) Wecare Hospital, a registered entity, charged ` 19,500 for 3 days from Mr. Sahil who was admitted in Intensive Cardiac Care Unit (ICCU) due to heart attack. (iv) Citcare Hospital, a registered entity, entered into an arrangement with Swadisht Caterers, a registered entity, to supply food to in-patients as per advice of doctor/nutritionist. Swadisht Caterers sends monthly bill to hospital for the food supplied by them to the admitted patients of hospital. Determine the taxability of Citcare Hospital. (5 Marks)
Subjective

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