Compound Interest – Set 1

1) A money lender borrows money at 4% per annum and pays the interest at the end of the year. He lends it at 6% per annum compound interest compounded half yearly and receives the interest at the end of the year. In this way, he gains Rs. 104.50, a year. The amount of money be borrows, is ?

2) Find the rate percent per annum if Rs. 2000 amounts to Rs. 2315.25 in one and half years interest being compounded half yearly.

3) A sum becomes Rs. 2916 in 2 years at 8% per annum compound interest. The simple interest at 9% per annum for 3 years on the same amount will be = ?

5) The difference between CI and SI on a certain sum of money for 3 years at 5% p.a. is Rs. 122. Find the sum invested = ?

6) A sum of Rs 210 was taken as a loan. This is to be paid back in two equal installments. If the rate of interest be 10% compounded annually, then the value of each installment is = ?

8) A man invested a sum of money at compound interest. It amounted to Rs. 2420 in 2 years and to Rs. 2662 in 3 years. Find the sum ?

9) In what time will Rs 64000 amounts to Rs 68921 at 5% per annum interest being compounded half yearly ?

10) The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is = ?

11) Under the Rural Housing Scheme, the Delhi Development Authority (DDA) allotted a house to Kamal Raj for Rs. 126100. This payment is to be made in three equal annual instalments. If the money is reckoned at 5% per annum compound interest, then how much is to be paid by Kamal Raj in each instalment ?

12) The difference between CI and SI for 3 years Rs. 992. If rate of interest is 10%. Find the Principal ?

13) The compound interest accrued on an amount of Rs. 25500 at the end of 3 years is Rs. 8440.50. What would be the simple interest accrued on the same amount at the same rate in the same period ?

14) The compound interest on a certain sum of money for 2 years at 5% is Rs. 328, then the sum is = ?

15) The compound interest on Rs. 30000 at 7% per annum for a certain time is Rs. 4347. The times is = ?

16) A sum of money is compound interest became doubles itself in 15 years. It will become eight times of itself in = ?

17) On what sum of money will the difference between simple interest and compound interest for 2 years at 5% per annum be equal to Rs. 63 ?

18) The difference between compound interest and simple interest on a certain sum of money for 2 years at 5% per annum is Rs. 41. What is the sum of money ?

19) A sum of Rs. 5324 is accumulated in 3 years at 10% compound interest, What is the original amount = ?

20) The compound interest on a certain some of money for 2 years at 10% per annum is Rs 420. The simple interest on the same sum at the same rate and for the same time will be ?

21) The sum for 2 years given a compound interest of Rs. 3225 at 15% rate. Then the sum is = ?

23) The compound interest on a sum of Rs 5000 at 8% per annum for 9 months when interest is compounded quarterly is = ?

25) The sum of money which when given on compound interest at 18% per annum would fetch Rs 960 more when the interest is payable half-yearly then when it was payable annually for 2 years is = ?

26) The compound interest on a certain sum of money for 2 years at 10% per annum is Rs. 525.The simple interest on the same sum of money for double the time at half the rate percent per annum is ?

27) Find the rate percent per annum if Rs. 2000 amounts to Rs. 2315.25 in one and half years interest being compounded half yearly.

28) A sum of money lent out at compound interest increases in value by 50% in 5 years. A person wants to lend three different sums x, y and z for 10, 15 and 20 years respectively at the above rate in such a way that he gets back equal sums at the end of their respective periods. The ratio x : y : z is = ?

29) A sum of money placed at compound interest double itself in 4 years. In how many years will it amount to four times itself ?

31) A certain amount money at R% compounded annually after two and three years becomes Rs. 1440 and Rs. 1728 respectively, R% is ?

32) A man, borrow Rs 21000 at 10% compound interest. How much he has to pay annually at the end of each year, to settle his loan in two years ?

33) A father left a will of Rs. 16400 for his two sons aged 17 and 18 years. They must get equal amount when they are 20 years, at 5% compound interest. Find the present share of the younger son = ?

34) At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years ?

35) A sum of money at compound interest amounts to thrice of itself in 3 years. In how many years it will be 9 times of itself?

36) Shashi had a certain amount of money. He invested 23“>2/3 of the total money in scheme A for 6 years and rest of the money he invested in scheme B for 2 years. Scheme A offers simple interest at a rate of 12% p.a. and scheme B offers compound interest ( compound annually) at a rate of 10% p.a. If the total interest obtained from both the schemes is Rs. 2750. What was the total amount invested by him in scheme A and scheme B together ? (Approximate value)

37) The compound interest on Rs. 4000 for 4 years at 10% per annum will be = ?

38) A sum of Rs. 8000 will amount to Rs. 8820 in 2 years if the interest is calculated every year. The rate of compound interest is = ?

39) A finance company declares that, at a certain compound interest rate, a sum of money deposited by anyone will become 8 times in 3 years. If the same amount is deposited at the same compound rate of interest, then in how many years will it become 16 times ?

40) The difference between the amount of compound interest and simple interest accrued on an amount of Rs. 26000 at the end of 3 years is Rs. 2994.134. What is the rate of interest p.c.p.a ?

41) The compound interest on Rs. 5000 for 3 years at 10% p.a. will amount to = ?

42) A sum of money put at compound interest amounts in 2 years to Rs. 672 and in 3 years Rs. 714. The rate of interest per annum is = ?

43) On a certain sum of money, the simple interest for 2 years is Rs 350 at the rate of 4% per annum. If it was invested at compound interest at the same rate for the same duration as before, how much more interest would be earned?

44) A sum of Rs. 5324 is accumulated in 3 years at 10% compound interest, What is the original amount = ?

45) A sum of money invested at compound interest amounts to Rs. 4624 in 2 years and Rs. 4913 in 3 years. The sum of money is = ?

48) One can purchase a flat from a house building society for Rs. 55000 cash or on the terms that he should pay Rs. 4275 as cash down payment and get the rest in three equal installments. The society charges interest at the rate of 16% per annum compounded half-yearly. If the flat is purchased under installment plan, find the value of each installment ?

49) The compound interest on a certain sum for 2 successive years are Rs. 225 and Rs. 238.50. The rate of interest per annum is = ?

50) What does Rs. 250 amounts to in 2 years with compound interest at the rate of 4% in the 1^st year and 8% in the second year ?