List of top Mathematics Questions on Compound Interest

The population of a city is 131000. If it increases by \(6\%\) in the first year and \(5\%\) in the second year, then the population of the city at the end of two years is
Qoban has some money (M) that he divides in the ratio of 1:2. He then deposits the smaller amount in a savings scheme that offers a certain rate of interest, and the larger amount in another savings scheme that offers half of that rate of interest. Both interests compound yearly. At the end of two years, the total interest earned from the two savings schemes is £ 830. It is known that one of the interest rates is 10% and that Qoban deposited more than £1000 in each saving scheme at the start. Find the value of M?
A man invested \(x\) rupees for \(y\) years at a rate of 3.25% per annum simple interest. If he received 3.25\(x\) after \(y\) years, find the value of \(y\).
Calculate the compound interest on ₹1000 for a period of one year at the rate 10% per annum, if interest is compounded quarterly?
Calculate the compound interest on ₹ 1000 for a period of one year at the rate of 10% per annum, if interest is compounded quarterly.
A firm anticipates an expenditure of ₹10,000 for a new equipment at the end of 5 years from now. How much should the firm deposit at the end of each quarter into a sinking fund earning interest 10% per year compounded quarterly to provide for the purchase?
[Use (1.025)20=1.7]
For an investment, if the nominal rate of interest is\(10\%\)compounded half-yearly, then the effective rate of interest is:
A multinational company creates a sinking fund by setting a sum of Rs. 12,000 annually for 10 years to pay off a bond issue of Rs. 72,000. If the fund accumulates at\(5\% \)per annum compound interest, then the surplus after paying for bond is
A property dealer wishes to buy different houses given in the table below with some down payments and balance in EMI for 25 years. Bank charges 6% per annum compounded monthly.
Question no 65
Mr. Dileep Rao has set up a sinking fund so that he can accumulate \(₹ 10,00,000\) in \(10 \)years for his children's higher education. How much amount should Dileep Rao deposit at the beginning of each year to accumulate this amount at the end of\( 10\) years. If the interest rate is  compounded annually? Given that \((1.12)^{11}=3.477\) (Rounded off to the nearest paise)
The present value (in ₹.) of a perpetuity of ₹.3600 payable at the end of each quarter, if the interest rate is 9% per annum compounded quarterly, is:
A borrowed Rs 10000 each from his friends B and C for 2 years. He was supposed to pay compound interest at 10% per annum to B and simple interest 11% per annum to C. Who charged more interest at the end of 2 years and how much more ?
A sum of money triples it self in 3 years at compound interest. In how many years will it becomes 9 times
A piece of paper is folded and a cut is made as shown below. How it will appear when opened?
A piece of paper is folded and a cut is made
A loan of ₹200000 at the interest rate of 6% p.a. compounded monthly is to be amortized by equal payments at the end of each month for 5 years. The monthly payment is:
[Given (1.005)-60 = 0.74137220]
A car costing ₹8,50,000 has scrap value of ₹1,25,000. If annual depreciation charge is ₹1,45,000, then useful life of the car is:
The present value of a perpetual income of x paybale at the end of each 6 months is ₹ 1,80,000. If the money is worth 5% compounded semi-annually, then the value of x is ₹:
A sum of\( 10,000\) becomes \( 14,400\) on compound interest in \(2\) years. What is the rate of interest per annum?
The effective rate which is equivalent to stated rate of \(6\%\) compounded semiannually is:
The effective rate equivalent to a nominal rate of 8% per annum compounded semi-annually is:
If the present value of a perpetuity of ₹600 payable at the end of every six months is ₹18000, then the rate of interest is:
The value of a car depreciates every year by \( 10\%\) . What will be its value after \( 3\) years if its present value is \(₹6,25,000\)?
In how many years a sum placed on compound interest becomes 8 times of itself, if it becomes twice in 6 years?
At what rate of interest 1,200 becomes ₹ 1,323 in 2 years where interest gets compounded annually:
Archit invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14\% p.a. and 11\% p.a. respectively. If the total amount of simple interest earned in 2 years is Rs. 3508, then determine the amount invested in Scheme B by Archit?