Mathematics of Finance

$\displaystyle P 8,000/-$ at $\displaystyle 10\%$ p.a. interest compounded half yearly will become at the end of one year

If $\displaystyle P 1,000$ be invested at interest rate of $\displaystyle 5\%$ and the interest be added to the principal every $\displaystyle 10$ years, then the number in years in which it will amount to $\displaystyle P 2,000$ is:

A person borrows $\displaystyle P 5,000$ for $\displaystyle 2$ years at $\displaystyle 4\%$ per annual simple interest. He immediately lends to another person at $\displaystyle 6.25\%$ per annum for $\displaystyle 2$ years find his gain in the transaction for year:

If an amount is kept at S. I. it earns an interest of $\displaystyle P 600$ in first two years but when kept at compound interest it earns an interest of $\displaystyle P 660$ for the same period, then the rate of interest and principal amount respectively are:

If $\displaystyle P 10,000$ is invested at $\displaystyle 8\%$ p.a. compounded quarterly, then the value of the investment after $\displaystyle 2$ years is. (Given $\displaystyle (1.02)^8 = 1.171659)$

A bank pays $\displaystyle 10\%$ rate of interest compounded annually. A sum of $\displaystyle P 400$ is deposited in the bank. The amount at the end of $\displaystyle 1$ year will be

A certain amount of money doubles itself in $\displaystyle 10$ years when deposited on simple interest. It would triple itself in

A man deposited $\displaystyle P 8,000$ in a bank for $\displaystyle 3$ years at $\displaystyle 5\%$ per annum compound interest, after $\displaystyle 3$ years he will get

If in two years' time a principal of $\displaystyle P 100$ amounts to $\displaystyle P 121$ when the interest at $\displaystyle r\%$ is compounded annually, then the value of $\displaystyle r$ is

A certain sum of money $\displaystyle Q$ was deposited for $\displaystyle 5$ years and $\displaystyle 4$ months at $\displaystyle 4.5\%$ simple interest and amounted to $\displaystyle P 248$, then the value of $\displaystyle Q$ is

If compound interest on a sum for $\displaystyle 2$ years at $\displaystyle 4\%$ per annum is $\displaystyle P 102$, then the simple interest on the same sum for the same period at the same rate will be

If the difference between the compound interest compounded annually and simple interest on a certain amount at $\displaystyle 10\%$ per annum for two years is $\displaystyle P 372$, then the principal amount is

The effective rate of interest for one year deposit corresponding to a nominal $\displaystyle 7\%$ rate of interest per annum convertible quarterly is

How much will $\displaystyle P 25,000$ amount to in $\displaystyle 2$ years at compound interest if the rates for the successive years are $\displaystyle 4\%$ and $\displaystyle 5\%$ per year

A man invests $\displaystyle P 12,000$ at $\displaystyle 10\%$ p.a. and another sum of money at $\displaystyle 20\%$ p.a. for one year. The total investment earns at $\displaystyle 14\%$ p.a. simple interest the total investment is:

The difference in simple interest of a sum invested of $\displaystyle P 1,500$ for $\displaystyle 3$ years is $\displaystyle P 18$. The difference in their rates is

Find the effective rate of interest on $\displaystyle P 10,000$ on which interest is payable half yearly at $\displaystyle 5\%$ p.a.

Find the effective rate of interest at $\displaystyle 10\%$ p.a. which interest is payable quarterly

What will be the population after $\displaystyle 3$ years when present population is $\displaystyle P 25,000$ and population increases at the rate of $\displaystyle 3\%$ in $\displaystyle 1^{st}$ year, at $\displaystyle 4\%$ in $\displaystyle 2^{nd}$ year and $\displaystyle 5\%$ in $\displaystyle 3^{rd}$ year?

The value of scooter is $\displaystyle P 10,000$ find its value after $\displaystyle 7$ years if rate of depreciation is $\displaystyle 10\%$ p.a.

SI $\displaystyle = 0.125P$ at $\displaystyle 10\%$ p.a. Find time.

Scrap value of a machine valued at $\displaystyle P 10,00,000$, after $\displaystyle 10$ years within depreciation at $\displaystyle 10\%$ p.a.:

The difference between CI and SI for $\displaystyle 2$ years, is $\displaystyle P 21$. If rate of interest is $\displaystyle 5\%$ find principal

On what sum will the compound interest at $\displaystyle 5\%$ per annum for $\displaystyle 2$ years compounded annually be $\displaystyle 3,280$?

An amount $\displaystyle P$ becomes $\displaystyle 5,100.5$ and $\displaystyle 5,203$ after second and fourth years respectively at $\displaystyle 1\%$ of interest per annum compounded annually. This value of $\displaystyle P$ and $\displaystyle R$ are

A certain sum invested at $\displaystyle 4\%$ per annum compounded semi-annually amounts to $\displaystyle 1,20,000$ at the end of one year. Find the sum:

Find the compound interest if an amount of $\displaystyle 50,000$ is deposited in bank for one year at the rate of $\displaystyle 8\%$ per annum compounded semi-annually.

An amount is lent at a nominal rate of $\displaystyle 4.5\%$ per annum compounded quarterly. What would be the gain in rupees over when compounded annually?

What sum of money will produce $\displaystyle 42,800$ as an interest in $\displaystyle 3$ years and $\displaystyle 3$ months at $\displaystyle 2.5\%$ p.a. simple interest?

The ratio of principal and the compound interest value for three years (compounded annually) is $\displaystyle 216:127$. The rate of interest is:

A certain sum amounted to $\displaystyle 575$ at $\displaystyle 5\%$ in a time in which $\displaystyle 750$ amounted to $\displaystyle 840$ at $\displaystyle 4\%$. If the rate of interest is simple, find the sum -

Find the amount of compounded interest, if an amount of $\displaystyle 50,000$ is deposited in a bank for one year at the rate of $\displaystyle 8\%$ per annum compounded semiannually

The population of a town increase by $\displaystyle 2\%$ of the population at the beginning of the year. The number of year by which the total increases in population would be $\displaystyle 40\%$ is:

Two equal amounts of money are deposited in two banks each at $\displaystyle 15\%$ p.a. $\displaystyle 3.5$ year in the bank and for $\displaystyle 5$ years in the other. The difference between the interest amount from the bank in $\displaystyle 144$. Find the sum

The simple interest on sum at $\displaystyle 4\%$ p.a. for $\displaystyle 2$ years is $\displaystyle 80$. Find the CI on the same sum for the same period.

Which is a better investment $\displaystyle 9\%$ p.a. compounded quarterly or $\displaystyle 9.1\%$ p.a. simple interest?

The effective rate of interest corresponding to a nominal rate of $\displaystyle 7\%$ p.a. compounded quarterly

A man invested one-third of his capital at $\displaystyle 7\%$, one fourth at $\displaystyle 8\%$ and the remainder at $\displaystyle 10\%$. If the annual income is $\displaystyle 561$. The capital is -

A sum of money is lent at C.I. rate $\displaystyle 20\%$ p.a. $\displaystyle 2$ years. It would fetch $\displaystyle 482$ more if the interest is compounded half yearly. The sum is:

The certain sum of money became $\displaystyle P 692$ in $\displaystyle 2$ years and $\displaystyle P 800$ in $\displaystyle 5$ years then the principal amount is

A sum was invested for $\displaystyle 3$ years as per C.I. and the rate of interest for first year is $\displaystyle 9\%$, $\displaystyle 2^{nd}$ year is $\displaystyle 6\%$ and $\displaystyle 3^{rd}$ year is $\displaystyle 3\%$ p.a. respectively. Find the sum if the amount in three years is $\displaystyle P 550$?

If $\displaystyle P = P 5,000$ $\displaystyle R = 15\%$ $\displaystyle T = 4 \frac{1}{2}$ years using $\displaystyle i = \frac{PTR}{100}$ then $\displaystyle I$ will be

The effective rate of interest does not depend upon

If $\displaystyle P = P 2,96$, and $\displaystyle R = 8\%$ compounded annually then $\displaystyle P =$

In SI if the principal is $\displaystyle P 2,000$ and the rate and time are the roots of the equation $\displaystyle x^2 - 11x + 30 = 0$ then SI is

A sum of $\displaystyle x$ amounts to $\displaystyle 27,900$ in $\displaystyle 3$ years and to $\displaystyle 41,850$ in $\displaystyle 6$ years at a certain rate percent per annum, when the interest is compounded yearly. The value of $\displaystyle x$ is:

Rahul invested $\displaystyle 70,000$ in a bank at the rate of $\displaystyle 6.5\%$ p.a. simple interest rate. He received $\displaystyle 85,925$ after the end of term. Find out the period for which sum was invested by Rahul.

A company needs money to $\displaystyle 10,000$ in five years to replace as equipment. How much (in $\displaystyle ) should be invested now at an interest rate of$8\%$ p.a. is order to provide for this equipment?

R needs money to pay $\displaystyle 5,00,000$ in $\displaystyle 10$ years. He invested a sum in a scheme at $\displaystyle 9\%$ rate of interest compounded half-yearly. How much amount (in $\displaystyle ) he invested?$1.046^{20}=2.41171$

An amount is lent at $\displaystyle R\%$ simple interest for $\displaystyle R$ years and the simple interest amount was one-fourth of the principal amount. Then $\displaystyle R$ is

A sum of money is put at $\displaystyle 20\%$ compound interest rate p.a. at which year the aggregated amount just exceeds the double of the original sum?

A machine worth $\displaystyle 4,90,740$ is depreciated at $\displaystyle 15\%$ on its opening value each year. When would its value reduce to $\displaystyle 2,00,750$?

If $\displaystyle 64$ amount to $\displaystyle 83.20$ in $\displaystyle 2$ years, what will $\displaystyle 86$ amount to in $\displaystyle 4$ years at the same Rate percent per annum?

A farmer borrowed $\displaystyle 3,600$ at the rate of $\displaystyle 15\%$ simple interest p.a. At the end of $\displaystyle 4$ years, he cleared this account by paying $\displaystyle 4,000$ and a cow. The cost of the cow is:

The effective annual rate of interest corresponding to a normal rate of $\displaystyle 6\%$ per annum payable half yearly is:

Mr. Prakash invested money in two schemes 'A' and 'B' offering compound interest at the rate of $\displaystyle 8\%$ and $\displaystyle 9\%$ p.a. respectively. If the total amount of interest accrued through these two schemes together in two years was $\displaystyle 4,816.30$ and total amount invested was $\displaystyle 27,000$. What was the amount invested in schemes 'A'?

A sum of money invested compound interest double itself in four years. In how many years it become $\displaystyle 32$ times of itself at the same rate of compound interest?

The difference between compound interest and simple interest on an amount of $\displaystyle 15,000$ for $\displaystyle 2$ years is $\displaystyle 96$. What is the rate of interest p.a.?

A sum of money doubles itself in $\displaystyle 4$ years at certain compound interest rate. In how many years this sum will become $\displaystyle 8$ times at the same compound interest rate?

Mr. Ram invested a total of $\displaystyle 1,00,000$ in two different banks for a fixed period. The first bank yields an interest of $\displaystyle 9\%$ p.a. and second, $\displaystyle 11\%$ per annum. If the total interest at the end of one year is $\displaystyle 9.75\%$ p.a., there the amount invested in these banks are respectively:

The nominal rate of interest is $\displaystyle 10\%$ per annum. The interest is compounded quarterly. The effective rate of interest per annum will be:

The difference between compound interest and simple interest on a certain sum of money invested for $\displaystyle 3$ years at $\displaystyle 6\%$ per annum is $\displaystyle 110.16$. The principal is

A machine depreciates $\displaystyle 10\%$ of its value at the beginning of the year. The cost and scrap value realized at the time of sale being $\displaystyle 23,240$ and $\displaystyle 9,000$ respectively. Approximately, for how many years the machine is put to use?

The population of a town increases every year by $\displaystyle 2\%$ of the population at the beginning of that year. The approximate number of years by which the total increase of population will be $\displaystyle 40\%$, is (Given $\displaystyle 1.02^x = 1.17166$)

The compound interest on $\displaystyle 15,625$ for $\displaystyle 9$ months at $\displaystyle 16\%$ per annum compounded quarterly is:

The compound interest on a certain sum is $\displaystyle 200$ $\displaystyle 209$ simple interest is $\displaystyle 200$ for $\displaystyle 2$ years. What is the rate per cent for $\displaystyle 2$ years?

The effective rate of return for $\displaystyle 24\%$ per annum convertible monthly is given as:

What is the compound interest (in $\displaystyle ) on a sum of$12,600$\displaystyle for$1.25$\displaystyle years at$20\%$ per annum if the interest is compounded half yearly?

A sum of $\displaystyle 7,500$ amounts to $\displaystyle 9,075$ at $\displaystyle 10\%$ 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:

A certain sum amounts to $\displaystyle 15,748$ in $\displaystyle 3$ years at simple interest at $\displaystyle 1\%$ p.a. The same sum amounts to $\displaystyle 16,510$ at $\displaystyle r+2\%$ p.a. SI in the same time. What is the value of $\displaystyle r$?

In how much time a sum of amount doubles at simple interest at $\displaystyle 12.5\%$ rate?

The effective rate of interest corresponding to a nominal rate of $\displaystyle 7\%$ p.a. convertible quarterly.

Jonny wants to have $\displaystyle 2,00,000$ in his saving account after three years. The rate of interest offered by bank is $\displaystyle 8\%$ per annum compounded annually. How much should he invest today to achieve his target amount?

Jonny wants to have $\displaystyle 2,00,000$ in his saving account after three year. The rate of interest offered by bank is $\displaystyle 8\%$ 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 $\displaystyle 50,000$ deposited in a nationalized bank for one year, corresponding to a nominal rate interest $\displaystyle 8\%$ per annum compounded quarterly [$\displaystyle 1.02^8 = 1.0824$]

Manoj invests $\displaystyle 12,000$ at $\displaystyle 6\%$ per annum simple interest to obtain a total amount of $\displaystyle 14,880$. What is the time for which the amount was invested?

Mr. X makes a deposit of $\displaystyle 50,000$ in the bank for a period $\displaystyle 2.5$ years. If the rate of interest is $\displaystyle 12\%$ per annum compounded half yearly, then the maturity value of the money deposited by Mr. X is: (where $\displaystyle (1.06)^5 = 1.3382$)

A machine costing $\displaystyle 1,00,000$ has useful life of $\displaystyle 10$ years. If the rate of depreciation is $\displaystyle 12\%$ what is scrap value of the machine at the end of life? Given $\displaystyle (0.88)^{10} = 0.27850$

Compute the compound interest on $\displaystyle 6,000$ for $\displaystyle 1.25$ years at $\displaystyle 8\%$ per annum. Interest will be compounded quarterly

The population of a city increases at the rate of $\displaystyle 5\%$ every year. What will be the population of the city in the year $\displaystyle 2023$, if its population in $\displaystyle 2021$ was $\displaystyle 1,00,000$?

Mr. XYZ invested $\displaystyle 60,000$ in a nationalized bank in the form of fixed deposit at the rate of $\displaystyle 7.5\%$ per annum simple interest rate. He received $\displaystyle 83,500$ after the end of the term of fixed deposit. Calculate the period for which $\displaystyle 60,000$ was invested in fixed deposit.

What is the effective rate of interest when principal amount of $\displaystyle 50,000$ deposited in a nationalized bank for one year, corresponding to a nominal rate of interest $\displaystyle 6\%$ per annum payable half yearly?

Kanta wants to accumulate $\displaystyle 4,91,300$ in her savings account after three years. The rate of interest offered by bank is $\displaystyle 6\%$ per annum compounded annually. How much amount should she invest today to achieve her target amount?

The sum required to earn a monthly interest of $\displaystyle 1,200$ at $\displaystyle 18\%$ per annum simple interest is:

The compound interest on $\displaystyle 40,000$ at $\displaystyle 12\%$ per annum compounded quarterly for $\displaystyle 6$ months is:

At a certain rate of interest per annum, the difference between the compound interest and simple interest on $\displaystyle 3,00,000$ for two years is $\displaystyle 2,400$, then the rate of interest per annum is:

Mr. X makes a deposit of $\displaystyle 12,000$ in a bank where the amount doubles at compound interest in $\displaystyle 5$ years, then what will be the total amount he will have after twenty years?

A sum of money doubles itself at compound interest in $\displaystyle 10$ years. In how many years will it become eight times

The time in which a sum of money will be doubled at $\displaystyle 6\%$ compound interest compounded interest compounded interest compounded annually approximately.

A lent $\displaystyle 6000$ to B for $\displaystyle 2$ years and $\displaystyle 1500$ to C for $\displaystyle 4$ years and received total interest of $\displaystyle 900$ from both. The rate of interest when simple interest method calculated.

If the difference between the interests received from two different banks on $\displaystyle 5000$ for $\displaystyle 2$ years is $\displaystyle 50$ then the difference between this rates.

The simple interest of $\displaystyle P\%$ for $\displaystyle P$ years will be $\displaystyle P$ on a sum of:

Nominal rate of Interest $\displaystyle 9.9\%$ p.a. If Interest is compounded monthly. What will be the effective rate of Interest? (Given $\displaystyle \left( \frac{4033}{4000} \right)^{12} = 1.1036$ )

A machine worth of $\displaystyle 4,90,740$ is depreciated at $\displaystyle 15\%$ on its opening value each year. When its value reduces to $\displaystyle 2,00,000$.

If the interest rate on a loan is $\displaystyle 1\%$ per month, the effective annual rate of interest is:

Ram borrowed $\displaystyle 5,000$ at $\displaystyle 12.5\%$ per annum compound interest. The money was repaid after $\displaystyle 3$ years. The total interest paid by him approximately is $\displaystyle (1+0.125)^3 = 1.4238$

Find the effective rate of interest if an amount of $\displaystyle 40,000$ deposited in a bank for $\displaystyle 1$ year at the rate of $\displaystyle 10\%$ compounded semi-annually

The value of a machine depreciates every year at the rate of $\displaystyle 10\%$ per annum, on its value at the beginning of that year, if the present value of the machine is $\displaystyle 72,900$, then machine's worth $\displaystyle 3$ years ago was:

The value of a machine depreciates $\displaystyle 12\%$ annually. If the present value of $\displaystyle 68,150$ then its value in $\displaystyle 3$ years ago was.

What principal will amount to $\displaystyle 370$ in $\displaystyle 6$ years at $\displaystyle 8\%$ p.a. at simple interest

The effective rate of interest on an amount $\displaystyle 25,000$ is deposited in a bank for one year at value of $\displaystyle 6\%$ per annum compounded semi-annually is

A Sum of money doubles itself in $\displaystyle 10$ years. The number of years it would be trebled itself is:

A certain money doubles itself in $\displaystyle 10$ years when deposited on simple interest. It would triple itself in.

A man deposited $\displaystyle 8,000$ in a bank for $\displaystyle 3$ years at $\displaystyle 5\%$ per annum compound interest, after $\displaystyle 3$ years he will get

The effective rate of interest for one year corresponding to a nominal at $\displaystyle 7\%$ rate of interest per annum convertible quarterly is

The population of a town increases every year by $\displaystyle 2\%$ of the population beginning of that year. The number of years by which the total increase of population be $\displaystyle 40\%$ is

Simple interest on $\displaystyle 3500$ for $\displaystyle 3$ years at $\displaystyle 12\%$ per annum is

$\displaystyle 1000$ is invested at annual rate of interest of $\displaystyle 10\%$ p.a. The amount after two years if compounding is done annually is ________.

If a person invests $\displaystyle 3,000$ in a three years' investment that pays $\displaystyle 12\%$ per annum. Calculate the future value of the investment.

A person deposited a sum of $\displaystyle 10,000$ in a bank. After $\displaystyle 2$ years, he withdrew $\displaystyle 4,000$ and at the end of $\displaystyle 5$ years, he received an amount of $\displaystyle 7,900$; then the rate of simple interest is:

A trust fund has invested $\displaystyle 30,000$ in two different types of bonds which pays $\displaystyle 5\%$ and $\displaystyle 7\%$ interest respectively. Determine how much amount is invested in second type of bond if trust obtains an annual total interest of $\displaystyle 1600$.

At six months intervals A deposited $\displaystyle 1000$ in a savings account which credit interest at $\displaystyle 10\%$ p.a., compounded semi-annually. The first deposit was made when A's son was $\displaystyle 6$ months old and last deposit was made when his son turns $\displaystyle 8$ years old. The money remained in the account and was given to the son on his $\displaystyle 10^{th}$ birthday. How much did he receive? $\displaystyle (1.05)^{16} = 2.1829$

What is the effective rate of interest if the nominal rate $\displaystyle 5\%$ p.a converted quarterly?

A sum of money doubles itself at compound interest in $\displaystyle 10$ years. In how many years will it become eight times?

Certain sum of money borrowed at simple interest amount to Rs.$\displaystyle 2688$ in three years and to $\displaystyle 2784$ in four years at the rate p.a. equal to.

A sum of $\displaystyle 46,875$ was lent out at simple interest and at the end of $\displaystyle 1$ year $\displaystyle 8$ months the total amount was $\displaystyle 50,000$. Find the rate of interest percent per annum.

$\displaystyle A = 5,200, R = 5\%$ p.a., $\displaystyle T = 6$ years, $\displaystyle P$ will be

The time by which a sum of money would treble itself at $\displaystyle 8\%$ p.a. C. I. is

A machine depreciates at $\displaystyle 10\%$ of its value at the beginning of a year. The cost and scrap value realized at the time of sale being $\displaystyle 23,240$ and $\displaystyle 9,000$ respectively. For how many years the machine was put to use?

The compound interest on half-yearly rests on $\displaystyle 10,000$ the rate for the first and second years being $\displaystyle 6\%$ and for the third year $\displaystyle 9\%$ p.a. is

The effective rate of interest corresponding to a nominal rate $\displaystyle 3\%$ p.a payable half yearly is

A sum of money triples itself in $\displaystyle 18$ 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 $\displaystyle 8\%$ Simple interest?

The difference between simple interest and compound interest on a sum of $\displaystyle 6,00,000$ for two years is $\displaystyle 6000$. What is the annual rate of interest?

$\displaystyle 10,000$ is invested at annual rate of interest of $\displaystyle 10\%$ p.a. The amount after two years at annual compounding is

The annual birth rate and death rate per $\displaystyle 1000$ are $\displaystyle 39.4$ and $\displaystyle 19.4$ 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 $\displaystyle 11\%$ per annum and the interest is compounded quarterly, the nominal rate of interest per annum is

The difference between CI and SI on a certain money invested for three years at $\displaystyle 6\%$ per annum is $\displaystyle 110.16$. The sum is

What is the sum of money will amount to $\displaystyle 1035.50$ in four years at compound interest for $\displaystyle 1$st, $\displaystyle 2$nd, $\displaystyle 3$rd and $\displaystyle 4$th years being $\displaystyle 4\%$, $\displaystyle 3\%$, $\displaystyle 2\%$ and $\displaystyle 1\%$ respectively?

A Machine was purchased for $\displaystyle 10,000$. Its rate of depreciation is $\displaystyle 10\%$ in the first year and $\displaystyle 5\%$ per annum afterwards. Find the depreciated value of Machine after $\displaystyle 7$ years of purchase.

What will be the population after three years when present population is $\displaystyle 25,000$ and population increases at the rate $\displaystyle 3\%$ in first year, $\displaystyle 4\%$ in second year and $\displaystyle 5\%$ in third year?

$\displaystyle SI = 0.125 P$ at $\displaystyle 10\%$ p.a find the time

$\displaystyle 8,000$ becomes $\displaystyle 10,000$ in two years at simple interest. The amount that will become $\displaystyle 6,875$ in $\displaystyle 3$ years at the same rate of interest is:

The difference between the simple and compound interest on a certain sum for $\displaystyle 3$ year at $\displaystyle 5\%$ p.a. is $\displaystyle 228.75$. The compound interest on the sum for $\displaystyle 2$ years at $\displaystyle 5\%$ p.a. is:

A sum of money doubles itself in $\displaystyle 10$ years. The number of years it would treble itself is:

The effective rate equivalent to nominal rate of $\displaystyle 6\%$ compounded monthly is:

A person borrows $\displaystyle 5,000$ for $\displaystyle 4$ years at $\displaystyle 4\%$ p.a. simple interest. He immediately lends to another person at $\displaystyle 6.25\%$ p.a. for $\displaystyle 2$ years. Find his gain in the transaction per year:

The cost of machinery is $\displaystyle 1,25,000/-$ if its useful life is estimated to be $\displaystyle 20$ years and the rate of depreciation of its cost is $\displaystyle 10\%$ p.a., then the scrap value of the Machinery is

If A person invests $\displaystyle 5,000$ in a three years' investment that pays $\displaystyle 12\%$ per annum. Calculate the future value of the investment.

Two equal sums were lent out at $\displaystyle 7\%$ and $\displaystyle 5\%$ simple interest respectively. The interest earned on the two loans adds up to $\displaystyle 960$ for four years. Find the total sum lent out.

The annual birth and death rates per $\displaystyle 1000$ are $\displaystyle 39.4$ and $\displaystyle 19.4$ 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 $\displaystyle 6\%$ p.a. payable half yearly is

The cost of machinery Rs.$\displaystyle 1,25,000$ if its useful life estimated to the $\displaystyle 20$ years and the rate of depreciation of its cost is $\displaystyle 10\%$ p.a. Then scrap value of machinery is

If a SI on a sum of money at $\displaystyle 6\%$ p.a for $\displaystyle 7$ years is equal to twice of simple interest on another sum for $\displaystyle 9$ years at $\displaystyle 5\%$ p.a. The ratio will be

In what will be a sum of money double itself at $\displaystyle 6.25\%$ p.a. Simple interest?

What will be population after $\displaystyle 3$ years when present population is $\displaystyle 25,000$ and population increase at the rate of $\displaystyle 3\%$ in first year , at $\displaystyle 4\%$ in second year and at $\displaystyle 5\%$ in third year ?

A sum amount to Rs. $\displaystyle 1331$ at a principal of Rs.$\displaystyle 1000$ at $\displaystyle 10\%$ CI. Find the time

The sum of money doubles itself in $\displaystyle 10$ years. The number of years it would treble itself is:

Arun purchased a vacuum cleaner by giving $\displaystyle 1700$ as cash down payment, which will be followed by five EMIs of $\displaystyle 480$ each. The vacuum cleaner can also be bought by paying $\displaystyle 3900$ cash. What is the approx. rate of interest p.a. (at simple interest) under this instalment plan?

If a sum triples itself in $\displaystyle 15$ years at simple rate of interest, the rate of interest per annum will

What will be population after $\displaystyle 3$ years when present population is $\displaystyle 25,000$ and population increases at the rate of $\displaystyle 3\%$ in $\displaystyle 1$ year, at $\displaystyle 4\%$ in $\displaystyle II$ year and $\displaystyle 5\%$ in $\displaystyle III$ year?

He effective rate of interest equivalent to the nominal rate of $\displaystyle 7\%$ converted monthly:

How much will be Rs.$\displaystyle 25,000$ in $\displaystyle 2$ years at compound interest if the rates for the successive years are at $\displaystyle 4\%$ and $\displaystyle 5\%$ per year

A sum of money gets doubled in $\displaystyle 5$ years at $\displaystyle X\%$ simple interest. If the interest was $\displaystyle Y\%$, the sum of money would have become ten-fold in thirty years. What is $\displaystyle Y - X$ (in $\displaystyle$)

A sum of money amounts to $\displaystyle 20,800$ in $\displaystyle 5$ years and $\displaystyle 22720$ in $\displaystyle 7$ years. Find the principle and rate of interest.

A sum of $\displaystyle 46,875$ was lent out at simple interest and at the end of $\displaystyle 1$ year $\displaystyle 8$ months, the total amount was $\displaystyle 50,000$. Find the rate of interest per annum.

A sum of money amount to $\displaystyle 6,200$ in $\displaystyle 2$ years and $\displaystyle 7,400$ in $\displaystyle 3$ years. The principal and rate

The simple interest on $\displaystyle 600$ for 9 months is $\displaystyle 27$. Find the interest rate.

The sum required to earn a monthly interest of Rs $\displaystyle 1200$ at $\displaystyle 18\%$ per annum Simple Interest is

The compound interest earned by a money lender on $\displaystyle 7,000$ for $\displaystyle 3$ years at the rate of interest for $\displaystyle 3$ years are $\displaystyle 7\%$, $\displaystyle 8\%$ and $\displaystyle 8.5\%$ is

A Maruti Zen cost $\displaystyle 3,60,000$. Its price depreciates at the rate of $\displaystyle 10\%$ p.a. during the first two years and at the rate of $\displaystyle 20\%$ in third year. Also find the total depreciation.

In what time will be a sum of money doubles itself at $\displaystyle 6.25\%$ p.a simple interest?

The difference between the simple and compound interest on a certain sum of $\displaystyle 3$ years at $\displaystyle 5\%$ p.a is $\displaystyle 22.75$. The compound interest on the sum of for $\displaystyle 2$ years at $\displaystyle 5\%$ per annum is

How much time would the SI on a certain sum be $\displaystyle 0.125$ times the principal at $\displaystyle 10\%$ p.a.

The time in by which a sum of money is $\displaystyle 8$ times of itself if it doubles itself in $\displaystyle 15$ years interest compounded annually.

Present value of a scooter is $\displaystyle 7,290$. Its value decreases every year by $\displaystyle 10\%$ then the value before $\displaystyle 3$ years is equal to

Find the effective rate of interest at $\displaystyle 10\%$ p.a when the interest is payable quarterly.

The difference between in simple interest on a sum invested of $\displaystyle 1500$ for $\displaystyle 3$ years is $\displaystyle 18$. The difference in their rate is

In how many years will a sum of money become double at $\displaystyle 5\%$ p.a compound interest

What will be the population after $\displaystyle 3$ years when present population is $\displaystyle 25000$, if the population increases at the rate $\displaystyle 3\%$ in I year, $\displaystyle 4\%$ in II year and $\displaystyle 5\%$ in III year.

If $\displaystyle 10,000$ is invested at $\displaystyle 8\%$ per annum, then compounded quarterly. Then value of investment after $\displaystyle 2$ years is.

Find the effective rate of interest if an amount of $\displaystyle 30,000$ deposited in a bank. For $\displaystyle 1$ year at the rate of $\displaystyle 10\%$ p.a. compounded semi-annually.

The present population of a town is $\displaystyle 25,000$. If it grows at the rate of $\displaystyle 4\%$, $\displaystyle 5\%$, $\displaystyle 8\%$ during $\displaystyle 1^{st}$ year, $\displaystyle 2^{nd}$ year, $\displaystyle 3^{rd}$ year respectively. Then find the population after $\displaystyle 3$ years.

The present value of a scooter is $\displaystyle 7290$. The rate of depreciation is $\displaystyle 10\%$. What was its value $\displaystyle 3$ years ago?

The difference between simple interest and compound interest on a certain for $\displaystyle 2$ years at $\displaystyle 10\%$ p.a is $\displaystyle 10$. Find the sum.

In how many years will a sum of money becomes four times at $\displaystyle 12\%$ p.a. simple interest?

The effective rate of interest does not depend on

Find the effective rate of interest at $\displaystyle 10\%$ p.a. When interest is payable quarterly.

In simple interest if the principle is $\displaystyle 2,000$ and the rate and time are roots of the equation $\displaystyle x^2 - 11x + 30 = 0$

Rajesh deposits $\displaystyle 3,000$ at the start of each quarter in his savings account. If the account earns interest of $\displaystyle 5.75\%$ per annum compounded quarterly, how much money (in $\displaystyle ) will he have at the end of$4$\displaystyle years? [Given that$(1.014375)^{16} = 1.25654$]

The annual rate of simple interest is $\displaystyle 12.5\%$. In how many years does principal doubles?

Certain sum of money borrowed at simple interest to $\displaystyle 2688$ in three years and to $\displaystyle 2784$ in four years at the rate per annum equal to -

An investment is earning compounded interest $\displaystyle 100$ invested in the year $\displaystyle 2$ accumulated to $\displaystyle 105$ by year $\displaystyle 4$. If $\displaystyle 500$ is invested in the year $\displaystyle 5$, will become \displaystyle ____ by year $\displaystyle 10$.

An investor is saving to pay off an obligation of $\displaystyle 15,250$ which will due in seven years, if the investor is earning $\displaystyle 7.5\%$ simple interest rate p.a., he must deposit to meet the obligation.

The value of the scooter is $\displaystyle 1,00,000$ find its depreciation is $\displaystyle 10\%$ p.a. Calculate depreciable value (WDV) at the end of seven years.

Effective rate of interest does not depend on

A man invests $\displaystyle 12,000$ at $\displaystyle 10\%$ p.a. and another sum of money at $\displaystyle 20\%$ p.a. for one year. The total investment earns at $\displaystyle 14\%$ p.a. simple interest the total investment is:

Find the effective rate of interest on $\displaystyle 10,000$ on which CI is payable half yearly at $\displaystyle 5\%$ p.a.

The value of scooter is $\displaystyle 10,000$. Find its value after $\displaystyle 7$ years if rate of depreciation is $\displaystyle 10\%$ p.a.

The Difference between the CI and SI for $\displaystyle 2$ years is $\displaystyle 21$. If the rate of interest is $\displaystyle 5\%$, the final principal is:

Mr. X lent some amount of money at $\displaystyle 4\%$ S.I. and he obtained $\displaystyle 520$ less than he lent in $\displaystyle 5$ years. The sum lent is

$\displaystyle 8,829$ is invested into three different sectors in such a way that their amounts at $\displaystyle 4\%$ p.a. S.I. after $\displaystyle 5$ years; $\displaystyle 6$ and $\displaystyle 8$ years are equal. Find each part of the sum.

$\displaystyle 80,000$ is invested to earn a monthly interest of $\displaystyle 1,200$ at the rate of ______ p.a. SI

A trust fund has invested $\displaystyle 27000$ money in two schemes 'A' and 'B' offering compound interest at the rate of $\displaystyle 8\%$ and $\displaystyle 9\%$ per annum respectively. If the total amount of interest accrued through these two schemes together in two years was $\displaystyle 4818.30$. 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 $\displaystyle 32$ times of itself at the same rate of compound interest.

The difference between compound interest and simple interest on an amount of $\displaystyle 15,000$ for $\displaystyle 2$ years is $\displaystyle 96$. What is the rate of interest per annum?

Mr. A invested $\displaystyle X$ in an organization, it amounts to $\displaystyle 150$ at $\displaystyle 5\%$ p.a. S.I. and to $\displaystyle 100$ at $\displaystyle 3\%$ p.a. S.I. Then the value of $\displaystyle X$ is

Mrs. Sudha lent $\displaystyle 4,000$ in such a way that some amount to Mr. A at $\displaystyle 3\%$ p.a. S.I. and rest amount to B at $\displaystyle 5\%$ p.a. S.I., the annual interest from both is $\displaystyle 144$. Find the amount lent to Mr. A.

A certain sum of money becomes double at $\displaystyle 5\%$ rate of S.I. p.a. in a certain time, the time in years is

A certain sum of money amounts to $\displaystyle 5,000$ in $\displaystyle 5$ years at $\displaystyle 10\%$ p.a. In how many years will it amount to $\displaystyle 6,000$ at same rate of S.I. p.a.

$\displaystyle 1,25,000$ is borrowed at compound interest at the rate of $\displaystyle 2\%$ for the $\displaystyle 1$st year, $\displaystyle 3\%$ for the $\displaystyle 2$nd year and $\displaystyle 4\%$ for the $\displaystyle 3$rd year. Find the amount to be paid after $\displaystyle 3$ years

A certain sum of money amounts to double in $\displaystyle 5$ years placed at compound interest. In how many years will it amount to $\displaystyle 16$ times at same rate of interest?

If the compound interest on a certain sum of money for $\displaystyle 2$ years at $\displaystyle 5\%$ p.a. be $\displaystyle 50.44$, then the simple interest (S.I.) is

If the difference between C.I. and S.I on a certain sum of money at $\displaystyle 5\%$ p.a. for $\displaystyle 2$ years is $\displaystyle 1.50$. 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.$\displaystyle 1200$ at $\displaystyle 18\%$ P.a Simple Interest is -

Sachin deposited Rs.$\displaystyle 1,00,000$ in his bank for $\displaystyle 2$ years at simple interest of $\displaystyle 6\%$. How much interest would he earns? How much final value of deposit

The ratio of principal and the compounded interest value for three years (Compounded annually) is $\displaystyle 216:127$. The rate of interest is

The Compounded interest Rs.$\displaystyle 8000$ for $\displaystyle 6$ months at $\displaystyle 12\%$ p.a payable quarterly is

The annual birth and death rates per $\displaystyle 1,000$ are $\displaystyle 39.4$ and $\displaystyle 19.4$ 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 $\displaystyle 6\%$ p.a for 7 years is equal to twice of SI on another sum for 9 years at $\displaystyle 5\%$ p.a. The ratio will be

Nominal Rate of Interest is $\displaystyle 9.9\%$ p.a. If Interest is compounded monthly, what will be effective rate of Interest.

The population of a town increases by $\displaystyle 2\%$ of the population at the beginning of the year. The number of years by which the total increases in population would be $\displaystyle 40\%$ 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?

A certain sum of money was put at S.I. for $\displaystyle 2.5$ years at a certain rate of S.I. p.a. Had it been put at $\displaystyle 4\%$ higher rate, it would have fetched $\displaystyle 500$ more. Find the sum of money.

Rs.$\displaystyle 1,25,000$ is borrowed at compound interest at the rate of $\displaystyle 2\%$ for the 1st year, $\displaystyle 3\%$ for the second year and $\displaystyle 4\%$ for the 3rd year. Find the amount to be paid after 3 years.

If the Compound Interest on a certain sum of money for 2 years at $\displaystyle 4\%$ p.a. be $\displaystyle 510$, 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 $\displaystyle 12\%$ compounded monthly?

The difference between compound interest and simple interest on a certain sum for 2 years @ $\displaystyle 10\%$ p.a. is $\displaystyle 100$. Find the sum:

If a simple interest on a sum of money at $\displaystyle 6\%$ p.a. for 7 years is equal to twice of simple interest on another sum for 9 years at $\displaystyle 5\%$ p.a. The ratio will be:

How much money is required to be invested every year as to accumulate Rs.$\displaystyle 6,00,000$ at the end of 10 years, if interest is compounded annually at $\displaystyle 10\%$ rate of interest?

The Scrap value of machine valued at Rs.$\displaystyle 10,00,000$ after 15 years of depreciation is $\displaystyle 10\%$ p.a.

The effective annual rate of interest corresponding to nominal rate $\displaystyle 6\%$ p.a. payable quarterly is:

If the difference between the compound interest compounded annually and simple interest on a certain amount at $\displaystyle 10\%$ per annum for two years is $\displaystyle 372$, then the principal amount is.

What will be the population after 3 years , when present population is $\displaystyle 1,00,000$ and the population increases at $\displaystyle 3\%$ in 1st year, at $\displaystyle 4\%$ in second year and at $\displaystyle 5\%$ in third year

The value of furniture depreciates by $\displaystyle 10\%$ a year, if the present value of the furniture in an office is $\displaystyle 3870$, 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.

What annual payment will discharge a debt of $\displaystyle 770$ due in 5 years, the rate of interest being $\displaystyle 5\%$ per annum SI ?

Mr. X invests 'P' amount at Simple Interest rate $\displaystyle 10\%$ and Mr. Y invests 'Q' amount at Compound Interest rate $\displaystyle 5\%$ 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:

In what time will a sum of money double its y at $\displaystyle 6.25\%$ p.a. simple interest?

In how many years will a sum of money double at $\displaystyle 5\%$ p.a compounded interest?

A machine worth Rs. $\displaystyle 4,90,740$ is depreciated at $\displaystyle 15\%$ of its opening value each year. When its value reduces to Rs. $\displaystyle 2,00,000$ it will take

A machine worth of Rs. $\displaystyle 4,90,740$ is depreciated at $\displaystyle 15\%$ on its opening value each year. When its value reduces to Rs. $\displaystyle 2,00,000$ it will take

Nominal rate of interest $\displaystyle 9.9\%$ p.a. If interest is compounded monthly. What will be the effective rate of Interest

The time in which a sum of money will be doubled at $\displaystyle 6\%$ compound interest compounded annually approximately.

The Compound interest $\displaystyle 8000$ for $\displaystyle 6$ months at $\displaystyle 12\%$ p.a payable quarterly is:

The simple interest on sum of money at $\displaystyle 6\%$ p.a. for $\displaystyle 7$ years is equal to twice of simple interest on another sum for $\displaystyle 9$ years at $\displaystyle 5\%$ p.a. The ratio will be:

If the interest rate on a loan at $\displaystyle 1\%$ per month, the effective annual rate of interest is:

The simple interest on a certain sum of money is $\displaystyle \frac{1}{25}$ 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 $\displaystyle 400$ at $\displaystyle 10\%$ p.a. S.I. and to $\displaystyle 200$ at $\displaystyle 4\%$ p.a. S.I.

$\displaystyle 6,400$ amounts to $\displaystyle 7840$ in two years at simple interest. How much will a sum of $\displaystyle 84$ invested at the same rate of simple interest amount in four years?

A certain amount at a rate of simple interest $\displaystyle x$, doubles in 5 years. At another rate of simple interest $\displaystyle y$, it becomes three times in 8 years. Then the difference between these two interest rates is

Mr. X invest $\displaystyle 10,000$ every year starting from today for next $\displaystyle 10$ years suppose interest rate is $\displaystyle 8\%$ per annual compounded annually. Calculate future value of the annuity.

How much amount is required to be invested every year so as to accumulate $\displaystyle 3,00,000$ at the end of the $\displaystyle 10$ years, if interest is compounded annually at $\displaystyle 10\%$?

A man invests an amount of $\displaystyle 15,860$ in the names of his three sons A, B and C in such a way that they get the same interest after $\displaystyle 2, 3$ and $\displaystyle 4$ years respectively. If the rate of interest is $\displaystyle 5\%$ then the ratio of amount invested in the name of A, B and C is:

The value of furniture depreciates by $\displaystyle 10\%$ a year, it the present value of the furniture in an office is $\displaystyle 21,870$. Calculate the value of furniture $\displaystyle 3$ years ago

Present value of a scooter is $\displaystyle ₹ 7,290$ if its value decrease every year by $\displaystyle 10\%$ then its value before $\displaystyle 3$ years is equal to:

Find the future value of annuity of $\displaystyle ₹ 1,000$ made annually for $\displaystyle 7$ years at interest rate of $\displaystyle 14\%$ compounded annually. Given that $\displaystyle (1.14)^7 = 2.5023$.

Find the present value of $\displaystyle ₹ 1,00,000$ to be required after $\displaystyle 5$ years if the interest rate be $\displaystyle 9\%$. Given that $\displaystyle (1.09)^5 = 1.5386$.

A five year annuity due has periodic cash flow of $\displaystyle ₹ 100$ each year. If the interest rate is $\displaystyle 8\%$ the future value of this annuity is given by:

A person decides to invest $\displaystyle ₹ 1,25,000$ per year for the next five years in an annuity which gives $\displaystyle 5\%$ p.a. compounded annually. What is the approx. future value? $\displaystyle [(1.05)^5 = 1.2762]$

Which of the following statements is True? (assume that the yearly cash flow? Are identical for both annuities)

$\displaystyle ₹ 2,500$ is paid every year for $\displaystyle 10$ years to pay off a loan. What is the loan amount if interest rate be $\displaystyle 14\%$ p.a. compounded annually?

Find the future value of annuity of $\displaystyle ₹ 1,000$ made annually for $\displaystyle 7$ year at interest rate of $\displaystyle 14\%$ compounded annually

$\displaystyle ₹ 800$ is invested at the end of each month in an account paying interest $\displaystyle 5\%$ per year compounded monthly. What is the future value of this annuity after $\displaystyle 10^{th}$ payment?

The present value of an annuity immediate is the same as

Mr. X wants to accumulate $\displaystyle ₹ 50,00,000$ at the end of $\displaystyle 10$ years. Then how much amount is required to be invested every year if interest is compounded annually at $\displaystyle 10\%$? (Given that $\displaystyle P(10,0.10) = 15.9374298)$

The present value of an annuity of $\displaystyle ₹ 25,000$ to be received after $\displaystyle 10$ years at $\displaystyle 6\%$ per annum compounded annually is