compound interest test 5

1. Sita invested rs 10,000 at 16% per annum in a private company. Her sister Harsha invested an equal amount at 15% per annum in another company but in this company the interest is payable compounded half yearly. Find after 1 1/2 year who will get more interest ?

2. A certain amount was lent out at 10% compound interest per annum for 1 1/2 years. But if the interest is compounded half yearly, ` 36.75 more is gained. Find the amount.

3. Sita invested some amount for 3 years and bought a share of a company. Company promised her to give a return of simple interest at 1 6/4 per annum. Her sister Geeta invested the same amount in another company but her company gives her the compound interest at same rate. If after 3 year Sita's sister got ` 717.77343 more than Sita, find the amount invested by each and also find the interest recieved by Sita.

4. Anjali deposited some amount in UTI bank at 10% per annum and she hopes that the bank will give her some interest. Bank lends this amount to a company at 12% per annum but interest compounded half yearly. After one year bank pays interest to Anjali and makes a profit of ` 1888. Find the amount that Anjali deposited in the bank-

5. Find the amount that will become ` 109771.20 in 5 year at compound interest, if the rate for the first year is 5%, for next two years be 10% and for the last two years be 20% per annum.

6. Bhuvnesh bought a scooter on the condition that he would pay RS 12000 instantly and ` 1680 after one year and ` 5292 after two years. If the payment is at 5% compound interest, then what was the cost price of scooter.

7. A sum of ` 30500 is divided into two parts and first part was lent out at 20% for 3 years and the other at the same rate for 5 years. If the received total amount is same in both, then find the divided parts of sum.

8. A sum of ` 25220 is divided into three parts and lent out for 2 years, 3 years and 4 years respectively. If the rate of compound interest be 5% and the amount of each part become same after the completion of time in each case, find the divided parts of the sum.

9. A sewing machine costs ` 20,000. A customer bought it at the down payment of ` 5000 and paid the remaining amount in three equal installments. If the rate of compound interest be 1 12 % 2 per annum, find the amount of each installment-

10. Find the compound interest on ` 1000 at the rate of 20% per annum for 18 months when interest is compounded halfyearly.

11. The PNB lends 1331 to Rajesh at a compound interest and got 1728 after three years. What is the rate of interest charged if the interest is compounded annually?

12. In a particular place, Vulture's population is decreasing at the certain rate of interest. If at present the Vulture's population is ` 29,160 and decreased population of second and Third year are 10 : 9. Then find the population of Vulture in the third year?

13. Divide 3903 between Rajesh and Bhuvnesh such that Rajesh' share at the end of 7 years is equal to Bhuvnesh' share at the end of 9 years at 4% p.a. rate of compound interest.

14. Find the compound interest on ` 64,000 for 1 year at the rate of 10% per annum compounded quarterly (to the nearest integer).

15.The difference between CI and SI for a certain sum of money at 10% per annum for 3 years is ` 620. Find the principal if it is known that the interest is compounded annually.

16.In what time will ` 800 become ` 926.10 at 10% per annum interest compounded half yearly.

17. What will be the present value of payable ` 14580 after two years at 8% per annum compound interest ?

18.A tree increases 1 8 times per year in length. If present height of the tree is 64 cm, then what will be the height after two years ?

19.A sum of ` 400 would become ` 441 after 2 years at r% compound interest, find the value of 'r':

20.The compound interest and the simple interest for two years on a certain sum of money at a certain rate of interest are ` 2257.58, ` 2100 respectively. Find the principal and rate percent :