Taxation - GST
512 Practice MCQs available for CA Foundation
All 512 Questions
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?
The simple interest on for 9 months is . Find the interest rate.
Miss Liza lent in such a way that some amount was given to Mr. A at p.a. S.I. and rest amount to was given to B at p.a. S.I., the annual interest from both is . Find the amount lent to Mr. A.
A certain sum of money was put at S.I. for years at a certain rate of S.I. p.a. Had it been put at higher rate, it would have fetched more. Find the sum of money.
Rs. is borrowed at compound interest at the rate of for the 1st year, for the second year and for the 3rd year. Find the amount to be paid after 3 years.
If be invested at interest rate of and the interest be added to the principal every years, then the number in years in which it will amount to is:
If an amount is kept at S. I. it earns an interest of in first two years but when kept at compound interest it earns an interest of for the same period, then the rate of interest and principal amount respectively are:
If is invested at p.a. compounded quarterly, then the value of the investment after years is. (Given
A bank pays rate of interest compounded annually. A sum of is deposited in the bank. The amount at the end of year will be
A man deposited in a bank for years at per annum compound interest, after years he will get
If compound interest on a sum for years at per annum is , then the simple interest on the same sum for the same period at the same rate will be
The effective rate of interest for one year deposit corresponding to a nominal rate of interest per annum convertible quarterly is
How much will amount to in years at compound interest if the rates for the successive years are and per year
at p.a. interest compounded half yearly will become at the end of one year
A sum of money amount to in years and in years as per S.I. then the principal is
A sum was invested for years as per C.I. and the rate of interest for first year is , year is and year is p.a. respectively. Find the sum if the amount in three years is ?
If years using then will be
The effective rate of interest does not depend upon
If , and compounded annually then
In SI if the principal is and the rate and time are the roots of the equation then SI is
A man invests at p.a. and another sum of money at p.a. for one year. The total investment earns at p.a. simple interest the total investment is:
Find the effective rate of interest on on which interest is payable half yearly at p.a.
What will be the population after years when present population is and population increases at the rate of in year, at in year and in year?
The value of scooter is find its value after years if rate of depreciation is p.a.
SI at p.a. Find time.
Scrap value of a machine valued at , after years within depreciation at p.a.:
The difference between CI and SI for years, is . If rate of interest is find principal
On what sum will the compound interest at per annum for years compounded annually be ?
An amount becomes and after second and fourth years respectively at of interest per annum compounded annually. This value of and are
A certain sum invested at per annum compounded semi-annually amounts to at the end of one year. Find the sum:
An amount is lent at a nominal rate of per annum compounded quarterly. What would be the gain in rupees over when compounded annually?
What sum of money will produce as an interest in years and months at p.a. simple interest?
The ratio of principal and the compound interest value for three years (compounded annually) is . The rate of interest is:
A certain sum amounted to at in a time in which amounted to at . If the rate of interest is simple, find the sum -
Find the amount of compounded interest, if an amount of is deposited in a bank for one year at the rate of per annum compounded semiannually
The population of a town increase by of the population at the beginning of the year. The number of year by which the total increases in population would be is:
Two equal amounts of money are deposited in two banks each at p.a. year in the bank and for years in the other. The difference between the interest amount from the bank in . Find the sum
Which is a better investment p.a. compounded quarterly or p.a. simple interest?
The effective rate of interest corresponding to a nominal rate of p.a. compounded quarterly
A sum of money is lent at C.I. rate p.a. years. It would fetch more if the interest is compounded half yearly. The sum is:
What '' denote the actual rate of interest in decimal, and '' denote the number of conversion periods, the formula for computing the effective rate of interest is given by.
The effective rate of return for per annum convertible monthly is given as:
A sum of amounts to at 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:
What is the difference (in 8,0002\frac{1}{2}10\%$ p.a. when the interest is compounded yearly?
A sum of amounts to in years and to in years at a certain rate percent per annum, when the interest is compounded yearly. The value of is:
An amount is lent at simple interest for years and the simple interest amount was one-fourth of the principal amount. Then is
A sum of money is put at compound interest rate p.a. at which year the aggregated amount just exceeds the double of the original sum?
In how much time a sum of amount doubles at simple interest at rate?
The effective rate of interest corresponding to a nominal rate of p.a. convertible quarterly.
A machine worth is depreciated at on its opening value each year. When would its value reduce to ?
If amount to in years, what will amount to in years at the same Rate percent per annum?
The effective annual rate of interest corresponding to a normal rate of per annum payable half yearly is:
A sum of money invested compound interest double itself in four years. In how many years it become times of itself at the same rate of compound interest?
The difference between compound interest and simple interest on an amount of for years is . What is the rate of interest p.a.?
A sum of money doubles itself in years at certain compound interest rate. In how many years this sum will become times at the same compound interest rate?
Mr. Ram invested a total of in two different banks for a fixed period. The first bank yields an interest of p.a. and second, per annum. If the total interest at the end of one year is p.a., there the amount invested in these banks are respectively:
The nominal rate of interest is per annum. The interest is compounded quarterly. The effective rate of interest per annum will be:
A machine depreciates of its value at the beginning of the year. The cost and scrap value realized at the time of sale being and respectively. Approximately, for how many years the machine is put to use?
The population of a town increases every year by of the population at the beginning of that year. The approximate number of years by which the total increase of population will be , is (Given )
The compound interest on for months at per annum compounded quarterly is:
Jonny wants to have in his saving account after three years. The rate of interest offered by bank is per annum compounded annually. How much should he invest today to achieve his target amount?
Jonny wants to have in his saving account after three year. The rate of interest offered by bank is per annum compounded annually. How much should he invest today to achieve his target amount?
What is the effective rate of interest when principal amount deposited in a nationalized bank for one year, corresponding to a nominal rate interest per annum compounded quarterly []
Manoj invests at per annum simple interest to obtain a total amount of . What is the time for which the amount was invested?
Mr. X makes a deposit of in the bank for a period years. If the rate of interest is per annum compounded half yearly, then the maturity value of the money deposited by Mr. X is: (where )
The population of a city increases at the rate of every year. What will be the population of the city in the year , if its population in was ?
Mr. XYZ invested in a nationalized bank in the form of fixed deposit at the rate of per annum simple interest rate. He received after the end of the term of fixed deposit. Calculate the period for which was invested in fixed deposit.
An amount becomes in years at simple interest rate of:
The difference between the compound interest amount and the simple interest amount for a period of two years, at same interest rate is
If the interest rate on a loan is per month, the effective annual rate of interest is:
Ram borrowed at per annum compound interest. The money was repaid after years. The total interest paid by him approximately is
Find the effective rate of interest if an amount of deposited in a bank for year at the rate of compounded semi-annually
The value of a machine depreciates every year at the rate of per annum, on its value at the beginning of that year, if the present value of the machine is , then machine's worth years ago was:
What is the effective rate of interest when principal amount of deposited in a nationalized bank for one year, corresponding to a nominal rate of interest per annum payable half yearly?
Kanta wants to accumulate in her savings account after three years. The rate of interest offered by bank is per annum compounded annually. How much amount should she invest today to achieve her target amount?
The compound interest on at per annum compounded quarterly for months is:
Mr. X makes a deposit of in a bank where the amount doubles at compound interest in years, then what will be the total amount he will have after twenty years?
A sum of money doubles itself at compound interest in years. In how many years will it become eight times
The time in which a sum of money will be doubled at compound interest compounded interest compounded interest compounded annually approximately.
If the difference between the interests received from two different banks on for years is then the difference between this rates.
The simple interest of for years will be on a sum of:
Nominal rate of Interest p.a. If Interest is compounded monthly. What will be the effective rate of Interest? (Given )
A machine worth of is depreciated at on its opening value each year. When its value reduces to .
The value of a machine depreciates annually. If the present value of then its value in years ago was.
What principal will amount to in years at p.a. at simple interest
The effective rate of interest on an amount is deposited in a bank for one year at value of per annum compounded semi-annually is
A certain money doubles itself in years when deposited on simple interest. It would triple itself in.
A man deposited in a bank for years at per annum compound interest, after years he will get
The effective rate of interest for one year corresponding to a nominal at rate of interest per annum convertible quarterly is
The population of a town increases every year by of the population beginning of that year. The number of years by which the total increase of population be is
The annual birth rates per are and respectively. The number of years which the population will be doubled assuming there is no immigration or emigration is
is invested at annual rate of interest of p.a. The amount after two years at annual compounding is
The annual birth rate and death rate per are and respectively. The number of years in which population will be doubled assuming that there is no immigration or emigration approximately.
If the effective rate of interest is per annum and the interest is compounded quarterly, the nominal rate of interest per annum is
Simple interest on for years at per annum is
is invested at annual rate of interest of p.a. The amount after two years if compounding is done annually is ________.
If a person invests in a three years' investment that pays per annum. Calculate the future value of the investment.
A person deposited a sum of in a bank. After years, he withdrew and at the end of years, he received an amount of ; then the rate of simple interest is:
A trust fund has invested in two different types of bonds which pays and interest respectively. Determine how much amount is invested in second type of bond if trust obtains an annual total interest of .
At six months intervals A deposited in a savings account which credit interest at p.a., compounded semi-annually. The first deposit was made when A's son was months old and last deposit was made when his son turns years old. The money remained in the account and was given to the son on his birthday. How much did he receive?
What is the effective rate of interest if the nominal rate p.a converted quarterly?
A sum of money doubles itself at compound interest in years. In how many years will it become eight times?
Certain sum of money borrowed at simple interest amount to Rs. in three years and to in four years at the rate p.a. equal to.
A sum of was lent out at simple interest and at the end of year months the total amount was . Find the rate of interest percent per annum.
The time by which a sum of money would treble itself at p.a. C. I. is
A machine depreciates at of its value at the beginning of a year. The cost and scrap value realized at the time of sale being and respectively. For how many years the machine was put to use?
The compound interest on half-yearly rests on the rate for the first and second years being and for the third year p.a. is
The effective rate of interest corresponding to a nominal rate p.a payable half yearly is
A sum of money triples itself in years under simple interest, what is the rate of interest p.a.?
What time will be required for a sum of money to double itself at Simple interest?
The difference between simple interest and compound interest on a sum of for two years is . What is the annual rate of interest?
What is the sum of money will amount to in four years at compound interest for st, nd, rd and th years being , , and respectively?
A Machine was purchased for . Its rate of depreciation is in the first year and per annum afterwards. Find the depreciated value of Machine after years of purchase.
The effective rate of interest for one-year deposit corresponding to a nominal rate of interest per annum convertible quarterly is
What will be the population after three years when present population is and population increases at the rate in first year, in second year and in third year?
at p.a find the time
becomes in two years at simple interest. The amount that will become in years at the same rate of interest is:
The difference between the simple and compound interest on a certain sum for year at p.a. is . The compound interest on the sum for years at p.a. is:
The effective rate equivalent to nominal rate of compounded monthly is:
A person borrows for years at p.a. simple interest. He immediately lends to another person at p.a. for years. Find his gain in the transaction per year:
The cost of machinery Rs. if its useful life estimated to the years and the rate of depreciation of its cost is p.a. Then scrap value of machinery is
If A person invests in a three years' investment that pays per annum. Calculate the future value of the investment.
Two equal sums were lent out at and simple interest respectively. The interest earned on the two loans adds up to for four years. Find the total sum lent out.
A sum of money amounts to in years and in years. Find the principle and rate of interest.
The annual birth and death rates per are and respectively. The number of years in which the population will doubled assuming there is no immigration or emigration is:
The effective annual rate of interest corresponding to nominal rate p.a. payable half yearly is
A sum amount to Rs. at a principal of Rs. at CI. Find the time
Arun purchased a vacuum cleaner by giving as cash down payment, which will be followed by five EMIs of each. The vacuum cleaner can also be bought by paying cash. What is the approx. rate of interest p.a. (at simple interest) under this instalment plan?
If a sum triples itself in years at simple rate of interest, the rate of interest per annum will
What will be population after years when present population is and population increases at the rate of in year, at in year and in year?
He effective rate of interest equivalent to the nominal rate of converted monthly:
How much will be Rs. in years at compound interest if the rates for the successive years are at and per year
A sum of money amount to in years and in years. The principal and rate
A sum of money gets doubled in years at simple interest. If the interest was , the sum of money would have become ten-fold in thirty years. What is (in )
The difference between Compound Interest and Simple Interest on a certain sum for years at p.a. is . Find the sum
The sum required to earn a monthly interest of Rs at per annum Simple Interest is
The compound interest earned by a money lender on for years at the rate of interest for years are , and is
A Maruti Zen cost . Its price depreciates at the rate of p.a. during the first two years and at the rate of in third year. Also find the total depreciation.
In what time will be a sum of money doubles itself at p.a simple interest?
The difference between the simple and compound interest on a certain sum of years at p.a is . The compound interest on the sum of for years at per annum is
How much time would the SI on a certain sum be times the principal at p.a.
The time in by which a sum of money is times of itself if it doubles itself in years interest compounded annually.
Present value of a scooter is . Its value decreases every year by then the value before years is equal to
Find the effective rate of interest at p.a when the interest is payable quarterly.
The difference between in simple interest on a sum invested of for years is . The difference in their rate is
If is invested at per annum, then compounded quarterly. Then value of investment after years is.
In how many years will a sum of money become double at p.a compound interest
The present population of a town is . If it grows at the rate of , , during year, year, year respectively. Then find the population after years.
The present value of a scooter is . The rate of depreciation is . What was its value years ago?
The difference between simple interest and compound interest on a certain for years at p.a is . Find the sum.
In how many years will a sum of money becomes four times at p.a. simple interest?
Mr. X lent some amount of money at S.I. and he obtained less than he lent in years. The sum lent is
is invested into three different sectors in such a way that their amounts at p.a. S.I. after years; and years are equal. Find each part of the sum.
A trust fund has invested money in two schemes 'A' and 'B' offering compound interest at the rate of and per annum respectively. If the total amount of interest accrued through these two schemes together in two years was . What was the amount invested in schemes 'A'?
A sum of money invested of compound interest double itself in four years. In how many years it become times of itself at the same rate of compound interest.
The difference between compound interest and simple interest on an amount of for years is . What is the rate of interest per annum?
Mrs. Sudha lent in such a way that some amount to Mr. A at p.a. S.I. and rest amount to B at p.a. S.I., the annual interest from both is . Find the amount lent to Mr. A.
A certain sum of money becomes double at rate of S.I. p.a. in a certain time, the time in years is
A certain sum of money amounts to in years at p.a. In how many years will it amount to at same rate of S.I. p.a.
is borrowed at compound interest at the rate of for the st year, for the nd year and for the rd year. Find the amount to be paid after years
A certain sum of money amounts to double in years placed at compound interest. In how many years will it amount to times at same rate of interest?
If the compound interest on a certain sum of money for years at p.a. be , then the simple interest (S.I.) is
If the difference between C.I. and S.I on a certain sum of money at p.a. for years is . Find the sum of money
The amount charged for a defined length of time for uses of principal, generally on year basis is known as
The ratio of principal and the compounded interest value for three years (Compounded annually) is . The rate of interest is
The Compounded interest Rs. for months at p.a payable quarterly is
The annual birth and death rates per are and respectively. The number of years in which the population will be doubled assuming there is no immigration or emigration is
The SI on sum of money at p.a for 7 years is equal to twice of SI on another sum for 9 years at p.a. The ratio will be
Nominal Rate of Interest is p.a. If Interest is compounded monthly, what will be effective rate of Interest.
The population of a town increases by of the population at the beginning of the year. The number of years by which the total increases in population would be is
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?
The simple interest on for 9 months is . Find the interest rate.
Miss Liza lent in such a way that some amount was given to Mr. A at p.a. S.I. and rest amount to was given to B at p.a. S.I., the annual interest from both is . Find the amount lent to Mr. A.
A certain sum of money was put at S.I. for years at a certain rate of S.I. p.a. Had it been put at higher rate, it would have fetched more. Find the sum of money.
Rs. is borrowed at compound interest at the rate of for the 1st year, for the second year and for the 3rd year. Find the amount to be paid after 3 years.
How long will it take for a principal to double if money is worth compounded monthly?
is borrowed at compound interest at the rate of for the st year, for the nd year and for the rd year. Find the amount to be paid after years
A certain sum of money amounts to double in years placed at compound interest. In how many years will it amount to times at same rate of interest?
If the difference between C.I. and S.I on a certain sum of money at p.a. for years is . Find the sum of money
The amount charged for a defined length of time for uses of principal, generally on year basis is known as
The sum required to earn a monthly interest of Rs. at P.a Simple Interest is -
Sachin deposited Rs. in his bank for years at simple interest of . How much interest would he earns? How much final value of deposit
The Compounded interest Rs. for months at p.a payable quarterly is
The SI on sum of money at p.a for 7 years is equal to twice of SI on another sum for 9 years at p.a. The ratio will be
Nominal Rate of Interest is p.a. If Interest is compounded monthly, what will be effective rate of Interest.
The population of a town increases by of the population at the beginning of the year. The number of years by which the total increases in population would be is
If the Compound Interest on a certain sum of money for 2 years at p.a. be , then its simple Interest (S.I.) of same time at same rate of interest is
How long will it take for a principal to double if money is worth compounded monthly?
The difference between compound interest and simple interest on a certain sum for 2 years @ p.a. is . Find the sum:
If a simple interest on a sum of money at p.a. for 7 years is equal to twice of simple interest on another sum for 9 years at p.a. The ratio will be:
How much money is required to be invested every year as to accumulate Rs. at the end of 10 years, if interest is compounded annually at rate of interest?
The Scrap value of machine valued at Rs. after 15 years of depreciation is p.a.
The effective annual rate of interest corresponding to nominal rate p.a. payable quarterly is:
If the difference between the compound interest compounded annually and simple interest on a certain amount at per annum for two years is , then the principal amount is.
What will be the population after 3 years , when present population is and the population increases at in 1st year, at in second year and at in third year
The value of furniture depreciates by a year, if the present value of the furniture in an office is , calculate the value of furniture 3 years ago:
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.
A man invests an amount of in the names of his three sons A, B and C in such a way that they get the same interest after and years respectively. If the rate of interest is , then the ratio of amount invested in the name of A, B and C is.
What annual payment will discharge a debt of due in 5 years, the rate of interest being per annum SI ?
Mr. X invests 'P' amount at Simple Interest rate and Mr. Y invests 'Q' amount at Compound Interest rate 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:
In what time will a sum of money double its y at p.a. simple interest?
In how many years will a sum of money double at p.a compounded interest?
A machine worth Rs. is depreciated at of its opening value each year. When its value reduces to Rs. it will take
A machine worth of Rs. is depreciated at on its opening value each year. When its value reduces to Rs. it will take
The time in which a sum of money will be doubled at compound interest compounded annually approximately.
The Compound interest for months at p.a payable quarterly is:
The simple interest on sum of money at p.a. for years is equal to twice of simple interest on another sum for years at p.a. The ratio will be:
If the interest rate on a loan at per month, the effective annual rate of interest is:
The simple interest on a certain sum of money is times of principal, the rate of interest when rate of interest and time are equal is
At what time a certain sum of money amounts to at p.a. S.I. and to at p.a. S.I.
amounts to in two years at simple interest. How much will a sum of invested at the same rate of simple interest amount in four years?
A person gave a loan of to Mr. X and recovered it at the rate of for eight months, commencing from the end of first month. What is the effective rate of simple interest?
If the compound interest on a certain sum of money for years at p.a. be , then its simple interest at same time at same rate of interest is
On what sum will the difference between the S.I. and C.I. for years at p.a. amount to ?
The Partners A & B together lent at p.a interest compounded annually. After a span of years A gets the same amount as B gets after years. The share of A is sum of would have been
Mr. X invest every year starting from today for next years suppose interest rate is per annual compounded annually. Calculate future value of the annuity.
How much amount is required to be invested every year so as to accumulate at the end of the years, if interest is compounded annually at ?
The value of furniture depreciates by a year, it the present value of the furniture in an office is . Calculate the value of furniture years ago
Let a person invest a fixed sum at the end of each month in an account paying interest per year compounded monthly. If the future value of this annuity after the payment is then the amount invested every month is?
Present value of a scooter is if its value decrease every year by then its value before years is equal to:
A person decides to invest per year for the next five years in an annuity which gives p.a. compounded annually. What is the approx. future value?
Which of the following statements is True? (assume that the yearly cash flow? Are identical for both annuities)
is paid every year for years to pay off a loan. What is the loan amount if interest rate be p.a. compounded annually?
Find the future value of annuity of made annually for year at interest rate of compounded annually
is invested at the end of each month in an account paying interest per year compounded monthly. What is the future value of this annuity after payment?
The present value of an annuity immediate is the same as
A loan of is to be paid back in two equal annual instalments. If the rate is p.a. compounded annually, then the total interest charged under this instalment plan is:
The future value of annuity of for years at compounded annually is given as:
Mr. X wants to accumulate at the end of years. Then how much amount is required to be invested every year if interest is compounded annually at ? (Given that
The present value of an annuity of to be received after years at per annum compounded annually is
is paid every year for years to pay off a loan. What is the loan amount if interest rate be p.a. compounded annually?
is invested at the end of each month in an account paying interest per year compounded monthly. What is the future value of this annuity after payment?
Ankit invests at the end of each quarter receiving interest @ p.a. for years. What amount will be receive at the end of the period?
A company establishes a sinking fund to provide for the payment debt maturity in years contribution to the fund are to be made at the end of every year. Find amount of each deposit if interest is p.a.?
How much amount is required to be invested every year so as to accumulate at the end of years if interest is compounded annually at p.a
Years ago the earning per share (EPS) of ABC Ltd. was share. Its EPS for this year is . Compute at what rat, EPS of the company grow annually?
Raju invests every year in a deposit scheme starting from today for next years. Assuming that interest rate on this deposit is per annum compounded annually. What will be the future value of this annuity?
Mr. A invested every year for next years at the interest rate of percent per annum compounded annually. What is future value of the annuity?
is invested every month end in an account paying interest per annum compounded monthly. What is the future value of this annuity just after making payment? (Given that )
Sinking fund factor is the reciprocal of:
Suppose you have decided to make a Systematic Investment Plan (SIP) in a mutual fund with every year from today for next years where you get return at the rate of per annum compounded annually. What is the future value of this annuity?
Govinda's mother decides to gift him every year starting from today for the next five years. Govinda deposits this amount in a bank as and when he receives and gets per annum interest rate, compounded annually. What is the present value of this annuity? Given .
How much amount is required to be invested every year so as to accumulate at the end of years, if the interest compounded annually at . Given
What will be the future value of an annuity of made annually for years at interest rate of compounded annually
Mrs. X invests in an annuity immediately that promises annual payments of for the next years. If the interest rate is compounded annually then the approximate present value of this annuity is
Calculate the present value of to be required after years compounded annually at per annum given
If a loan of is to be paid in annual instalments with interest rate of per annum, then the equal annual instalment will be (take )
Find the future value of an annuity of made annually for years at rate of compounded annually, if
What is the present value of an investment that pays at the end of three years and at the end of years?
At compounded annually, how long will it take to double?
You are considering two investments. Investment A yields compounded quarterly. Investment B yields compounded semi-annually. Both investments have equal annual yields. Find ?
What is the present value of to be obtained after six years if the interest rate is per annum? for respectively.
A person invests in a fund that pays per annum for four years. The future value of current would be? use, if needed
What is the present value of to be received after two years compounded annually at interest rate?
In an account paying interest per year compounded monthly, is invested at the end of each month. What is the future value of this annuity after payment? (Where )
What is the annual contribution required by an organization to accumulate in ten years for the construction of a new manufacturing plant, utilizing a sinking fund with annual interest rate of compounded annually? (Where )
A loan of is to be paid in three equal annual instalments at compound interest. The value of annual instalment, if the rate of interest is per annum is:
Future value of Ordinary Annuity
A sinking fund is created to redeem debentures worth at the end of years. How much provision each need to be made out of profits each year provided sinking fund investments can earn at per annum
Find the future value of annuity made annually for years at interest rate of compounded annually is
is paid every year to off a loan, the loan amount if interest be per annum compounded annually is
The present value of to be receive after year compounded annually at interest is
Suppose your father decides to gift you 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 per annum interest rate compound annually. The present value of this annuity is
Find the Present value of to be required after years. If the interest be
Rs. is invested is invested at the end of each month in an account paying interest per year compounded annually. The future value of annuity after th payment is
The furniture depreciates by p.a. If the present value of the furniture in office is , calculate the value of furniture years ago.
Find the future value of an annuity of made annually for years at interest rate of per annum
invested at the end of each month in an account paying interest per year compounded monthly. What is the future value of this annuity after th payment?
Suppose your father decides to gift you every year starting from today for the next five years, you deposit this amount in a bank as and when you receive and get p.a. C.I. What is the present value of this annuity?
Y bought Motor Bike Costing by making down payment of and agreeing to make annual payment for four years. How much would be each payment if the interest on unpaid amount be compounded annually.
A machine costs . The depreciation rate is per annum. The scrap value of the machine at the end of years is
X bought a TV costing making down payment of and agreeing to make equal annual payment for four years. How much would be each payment if the interest on unpaid amount be compounded annually?
The future value of annuity on a year for years at per annum compounded interest is
paid for ten years to off a loan. What is the loan amount if interest rate be per annum compounded annually?
Suppose your friend decided gift to you every year starting from today for the next five years. Your deposit this amount in a bank and when you receive and get per annum interest compounded annually. What is the present value of this annuity?
is invested at the end of each month in an account paying interest p.a. compounded monthly. What is the future value of annuity after th payment?
Anil bought a motor cycle costing by making a down payment of and agreeing to make equal annual payment for five years. How much would be each payment if the interest on unpaid amount be compounded annually? .
Shoba borrows to buy a house. If he pays equal instalments for years and interest on outstanding balance, what will be the equal annual instalment?
An asset of to be paid back in equal annual installments over a period of years. Find the value of installment, if interest is compounded annually at per annum.
The present value of an annuity of for years at p.a. is
A person bought a house paying cash down and at the end of each year for yrs. at p.a. C.I. The cash down price is
A man purchased a house valued at . He paid at the time of purchase and agreed to pay the balance with interest at per annum compounded half yearly in 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.
A person invests at the end of each year with a bank which pays interest at p.a C.I. annually. The amount standing to his credit one year after he has made his yearly investment for the time is, Given .
The present value of due in years at p.a. compound interest when the interest is paid on half-yearly basis is
Find the present value of to be required after years, if the interest rate be per cent compounded annually.
A man borrows from a bank at compound interest. At the end of every year as part of repayment of loan and interest. How much is still owe to the bank after three such installments.
The future value of annuity of , made annually for years at the interest of compounded annually is
Future value of an ordinary annuity
Antil bought a motor cycle costing by making a down payment of and agreeing to make equal annual payment for five years. How much would be each payment if the interest on unpaid amounts be compounded annually?
Shoba borrows to buy a house. If he pays equal installments for years and interest on outstanding balance, what will be the equal annual installment?
How much money is to be invested every year so to accumulate at the end of years if interest is compounded annually at rate of interest?
Find the present value of an ordinary annuity of quarterly payments of each, the rate of interest being p.a. compounded quarterly
How much amount is required to be invested every year so as to accumulate at the end of years, if interest is compounded annually at .
Raju invests every year in a deposit scheme starting from today for next years. Assuming that interest rate on his deposit is per annum compounded annually. What will be the future value of this annuity?
Mr. A invested p.a. for next years at the interest rate of percent p.a. compounded annually. What is future value of the annuity?
is invested every month and in an account paying interest per annum compounded monthly. What is the future value of this annuity just after making payment
Find the present value of an annuity which pays at the end of each months for years assuming p.a. converted quarterly.
The amount of an annuity due consisting of annual payments invested at effective is . Find the size of each payment:
The future value of an annuity of is made annually for years at interest rate of compounded annually.
Paul borrows on condition to repay it with compound interest at p.a. in annual installment of each. Find the number of years in which the debt would be paid off:
A debt of with interest at the rate of compounded quarterly is to be discharged by equal quarterly payments, the first payment being due today. Find the size of each payment.
Find the future value of an annuity of is made annually for years at interest rate of compounded annually.
How much amount is required to be invested every year as to accumulate at the end of year, if interest is compounded annually at rate of interest?
The future value of an annuity of made annually for years at an interest rate of compounded annually is
Find the present value of an annuity of payable at the end of each year for years. If rate of interest is compounding per annum.
Mr. A borrows to buy a house. If he pays equal instalments for years and interest on outstanding balance what will be the equal annual instalment?
Suppose your mom decides to gift you every year starting from today for the next years. You deposit this amount in a bank account and you receive p.a. interest rate compounded annually. What is the present value of this money: (Given that )
Find the present value of an annuity which pays at the end of each months for years assuming money to be worth converted quarterly?
Arslan invested at per annum compound quarterly, then the value of the investment after years is
The future value of an annuity of made annually for years at the interest of compounded annually is:
Present value of a scooter is if its value decreases every year by then its value before years is equal to:
How much amount is required to be invested every year so as to accumulate at the end of years, if CI is annually at ?
The time by which a sum of money is times of itself if it doubles itself in years.
A sinking fund is created for redeeming debentures worth Rs. at the end of years. How much provision need to be made out of profits each year provided sinking fund investments can earn at per annum
Mr. X bought an electronic item for . What would be the future value of the same item after two years, if the value is compounded semi-annually at the rate of per annum?
The present value of an annuity which pays at the end of each months for years, assuming money to be worth converted quarterly.
A company establishes a sinking fund to provide for the payment of debt maturing in 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 per annum
ABC Ltd. Wants to lease out an asset costing for a five year period. It has a fixed rental of , per annum payable annually starting from the end of first year. Suppose rate of interest is per annum compounded annually on which money can be invested by the company. Is this agreement favourable to the company.
What is the net present value of piece of property which would be valued at lakh at the end of years? (Annual rate of increase )
Determine the present value of perpetuity of per month @ rate of interest p.a. is
A stock pays annually an amount of from year onwards. What is the present value of the perpetuity if the rate of return is ?
Assuming that the discount rate is p.a. how much would pay to receive growing at annually forever?
If discount rate is per annum, then how much a company has to pay to receive growing at annually forever?
If the nominal rate of growth is and inflation is for the five years. Let P be the Gross Domestic Product (GDP) amount at the present year then the projected real GDP after years is:
If a person bought a house by paying down payment and at the end of each year till the perpetuity. Assuming the rate of interest as , the present value of house (in $) is given as:
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:
If the cost of capital be 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 |
Assuming that the discount rate is p.a. How much would you pay to receive , growing at annually forever?
The CAGR of a initial value of a investment of and final value of in years is:
Ms. Paul invested in a mutual fund scheme in January . After one year in January , she got a dividend amounting to for first year, for second year, for third year, for fourth year and for fifth year in January . What is Compounded Annual Growth Rate (CAGR) of dividend return? Given .
If the discount rate is per annum, how much amount would you pay to receive growing at annually forever?
Mr. Sharad got his retirement benefits amounting to . 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 CI Annually. Determine how much perpetual payment he will receive every month?
A person wants to open a shop have two options to acquire a commercial space either by leasing for years at annual rent of or by purchasing the space for . If person can borrow money at compounded per annum. Which alternate is most suitable?
If the initial investment of becomes in months, then CAGR is
Assuming that the discount rate is per annum, how much would you pay to get per year, growing at annually forever?
You bought a painting years ago an investment. You originally paid for it. If you sold it for , what was your annual return on investment?
The Earning Per Share (EPS) of a company for five years is given below:YearEPS201940202025202140202240202390Calculate the Compounded Annual Growth Rate (CAGR) of EPS
A Perpetuity has a cash flow of and a required rate of return of . If the cash flow is expected to grow at a constant rate of per year, then the intrinsic value of this perpetuity (present value of growing perpetuity) is:
An investor intends to purchase a three year per value bond having nominal interest rate of . Aat what price the bond may be purchased now if it matures at par and the investor requires a rate of return of ?
A machine can be purchased for . Machine will be contributing per year for the next five years. Assuming borrowing cost is per annum. Determine whether machine should be purchased or not
A company is considering proposal of purchasing a machine either by making full payment of or by leasing it for four years at an annual rent of . Which course of action is preferable if the company can borrow money at compounded annually? []
A person desires to create a fund to be invested at CI per annum to provide for a prize of every year. Using find and will be
A company is considering proposal of purchasing a machine either by making full payment of or by leasing it for years at an annual rent of . Which course of action is preferable if the company can borrow money at per annum? [Given: ]
A company is considering proposal of purchasing a machine either by making full payment of or by leasing it for four years at an annual rate of . Which course of action is preferable if the company can borrow
money at compounded annually? [ ]
A machine can be purchased for . Machine will contribute per year for the next five years. Assume borrowing cost is per annum. Determine whether machine should be purchased or not?
A bond paying annual dividends at will be redeemed at par at the end of years. Find the purchase price of this bond if the investor wishes a yield rate of .
Nominal Rate of Return =
Net Present Value , then
Net Present Value (NPV)
If the cost of capital be 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
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
The nominal rate of growth is and inflation is for the five years. Let be the Gross Domestic Product (GDP) amount at the present year then the projected real GDP after years is
A person desires to create a fund to be invested at CI per annum to provide for a prize of every year. Using find
Determine the present value of perpetuity of per month at the rate interest p.a.
Assuming that the discount rate is p.a. How much would you pay to receive . Growing at annually forever?
Ravi made an investment of in a scheme and at the time of maturity, the amount was . If the Compound Annual Growth Rate (CAGR) for this investment is . Calculate the approximate number of years for which he has invested the amount.
A machine with useful life of years costs while another machine with useful life of years costs . The first machine saves labour expenses of annually and the second one saves labour expenses of annually. Determine the preferred course of action. Assume cost of borrowing as compounded per annum.
10 years ago the earning per share (EPS) of ABC Ltd. was share its EPS for this year is . Compute at what rate, EPS of the company grow annually?
A company is considering proposal of purchasing a machine full payment of or by leasing it for years at an annual rent of . Which course of action is preferable if the company can borrow money at compounded annually?
Find the purchase price of a bond redeemable all the paring annual dividends at if the yield rate is to be effective.
A stock pays annually an amount of Rs. from year onwards. What is the present value of perpetuity, if the rate of return is .
If the nominal rate of growth is and inflation is for the five years. Let be the Gross Domestic Product (GDP) amount at the present year then the projected real GDP after years is
If discounted rate is per annum, then how much company has to receive Rs. growing at annually forever?
A machine can be purchased for . Machine will contribute per year for the next five years. Assume borrowing cost is per annum compounded annually. Determine whether machine should be purchased or not.
A bond paying annual dividends at will be redeemed at par at the end of years. Find the purchase price of this bond if the investor wishes a yield rate of .
Assuming that the discount rate is per annum, how much would you pay to receive , growing at annually, forever?
In ______ receipts / payments takes place forever.
Net Present value , then
Assuming, that discount rate is per annum, how much would you pay to receive Rs., growing at , annually, forever.
The value of the present value of a sequence of payments of made at the end of each months and continuity forever, if money is worth compounded semi-annually is
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?
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?
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is
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 -
Find the future value of an investment of ₹ 7,000 compounded quarterly at 10% per annum for 3 years.[Given that ]
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 ]
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.
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 ]
Relationship between annual nominal rate of interest and annual effective rate of interest, if frequency of compounding is greater than one
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 and ]
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 ]
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 ]
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 ]
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?
The compound interest on ₹ 1,00,000 compounded quarterly, for 9 months at 4% per annum is ₹
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 ₹
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: )
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 )
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?
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 ₹?
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?
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?
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: )
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: )
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 : )
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?
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?
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?
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.
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 payment is ₹ 50,000, then amount invested by Mr. XYZ in each month will be? Given
If an amount is compounded annually so that it tripled itself in 4 years, then the annual rate of interest is (Given that )
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?
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%?
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 .
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.
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:
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:
The present value (in nearest ₹) of an annuity of ₹ 90,000 for 13 years at 5.5% compounded annually is (Given )
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 .
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?
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?
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.
The sum required to earn a monthly interest of Rs. at P.a Simple Interest is -
The certain sum of money became in years and in years then the principal amount is
What will be the population after years when present population is , if the population increases at the rate in I year, in II year and in III year.
The sum required to earn a monthly interest of at per annum simple interest is:
Sachin deposited Rs. in his bank for years at simple interest of . How much interest would he earns? How much final value of deposit
A lent to B for years and to C for years and received total interest of from both. The rate of interest when simple interest method calculated.
A Sum of money doubles itself in years. The number of years it would be trebled itself is:
A certain sum amounts to in years at simple interest at p.a. The same sum amounts to at p.a. SI in the same time. What is the value of ?
A sum of money doubles itself in years. The number of years it would treble itself is:
If the difference between the compound interest compounded annually and simple interest on a certain amount at per annum for two years is , then the principal amount is
The sum of money doubles itself in years. The number of years it would treble itself is:
R needs money to pay in years. He invested a sum in a scheme at rate of interest compounded half-yearly. How much amount (in 1.046^{20}=2.41171$
A sum of was lent out at simple interest and at the end of year months, the total amount was . Find the rate of interest per annum.
The difference between CI and SI on a certain money invested for three years at per annum is . The sum is
is invested to earn a monthly interest of at the rate of ______ p.a. SI
A man invested one-third of his capital at , one fourth at and the remainder at . If the annual income is . The capital is -
At a certain rate of interest per annum, the difference between the compound interest and simple interest on for two years is , then the rate of interest per annum is:
p.a., years, will be
If the Compound Interest on a certain sum of money for 2 years at p.a. be , then its simple Interest (S.I.) of same time at same rate of interest is
Find the compound interest if an amount of is deposited in bank for one year at the rate of per annum compounded semi-annually.
What is the compound interest (in 12,6001.2520\%$ per annum if the interest is compounded half yearly?
A farmer borrowed at the rate of simple interest p.a. At the end of years, he cleared this account by paying and a cow. The cost of the cow is:
The compound interest on a certain sum is simple interest is for years. What is the rate per cent for years?
If in two years' time a principal of amounts to when the interest at is compounded annually, then the value of is
The difference in simple interest of a sum invested of for years is . The difference in their rates is
Compute the compound interest on for years at per annum. Interest will be compounded quarterly
A man invests an amount of in the names of his three sons A, B and C in such a way that they get the same interest after and years respectively. If the rate of interest is then the ratio of amount invested in the name of A, B and C is:
Find the effective rate of interest at p.a. which interest is payable quarterly
A company needs money to in five years to replace as equipment. How much (in 8\%$ p.a. is order to provide for this equipment?
Mr. Prakash invested money in two schemes 'A' and 'B' offering compound interest at the rate of and p.a. respectively. If the total amount of interest accrued through these two schemes together in two years was and total amount invested was . What was the amount invested in schemes 'A'?
A machine costing has useful life of years. If the rate of depreciation is what is scrap value of the machine at the end of life? Given
Nominal rate of interest p.a. If interest is compounded monthly. What will be the effective rate of Interest
Find the effective rate of interest if an amount of deposited in a bank. For year at the rate of p.a. compounded semi-annually.
The ratio of principal and the compounded interest value for three years (Compounded annually) is . The rate of interest is
Mr. A invested in an organization, it amounts to at p.a. S.I. and to at p.a. S.I. Then the value of is
If the compound interest on a certain sum of money for years at p.a. be , then the simple interest (S.I.) is
The annual birth and death rates per are and respectively. The number of years in which the population will be doubled assuming there is no immigration or emigration is
A person borrows for years at per annual simple interest. He immediately lends to another person at per annum for years find his gain in the transaction for year:
If the desired future value after years with interest rate is , then the present value (in ) is
A certain amount of money doubles itself in years when deposited on simple interest. It would triple itself in
Find the future value of annuity of made annually for years at interest rate of compounded annually. Given that .
A certain sum of money was deposited for years and months at simple interest and amounted to , then the value of is
A five year annuity due has periodic cash flow of each year. If the interest rate is the future value of this annuity is given by:
Anshika took a loan of @ for years. What amount will she pay if she wants to pay the whole amount in five equal installments?
The simple interest on sum at p.a. for years is . Find the CI on the same sum for the same period.
The rate of interest for the first year is per annum, for next years is per annum and for the period beyond years, per annum. If a man gets as a simple interest for years, how much money did he deposit?
A company want to replace its existing tool room machine at the end of years, the expected cost of machine would be . 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 compounded annually?
Rahul invested in a bank at the rate of p.a. simple interest rate. He received after the end of term. Find out the period for which sum was invested by Rahul.
The difference between compound interest and simple interest on a certain sum of money invested for years at per annum is . The principal is
A car is available for cash payment or cash down payment followed by three equal annual instalments. If the rate of interest charged is per annum compounded yearly, then total interest charged in the instalment plan is (Given ):
Find the present value of to be required after years if the interest rate be . Given that .
Suppose Mr. X invested every year starting from today in mutual fund for next years. Assuming that interest compounded annually is at p.a.. What is future value?
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?
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?
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is
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 -
Find the future value of an investment of ₹ 7,000 compounded quarterly at 10% per annum for 3 years.[Given that ]
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 ]
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.
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 ]
Relationship between annual nominal rate of interest and annual effective rate of interest, if frequency of compounding is greater than one
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 and ]
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 ]
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 ]
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 ]
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?
The compound interest on ₹ 1,00,000 compounded quarterly, for 9 months at 4% per annum is ₹
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 ₹
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: )
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 )
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?
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 ₹?
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?
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?
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: )
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: )
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 : )
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?
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?
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?
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.
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 payment is ₹ 50,000, then amount invested by Mr. XYZ in each month will be? Given
If an amount is compounded annually so that it tripled itself in 4 years, then the annual rate of interest is (Given that )
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?
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%?
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 .
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.
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:
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:
The present value (in nearest ₹) of an annuity of ₹ 90,000 for 13 years at 5.5% compounded annually is (Given )
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 .
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?
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?
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.
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) (
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)
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)
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)
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)
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