exam on compound interest test 4

1. Find the compound interest on a sum of ` 4,000 invested for a period of 3 years at the rate of 5% per annum

2. In how many years an amount of RS 1512 will grow to `RS 2401 at compound interest rate of 16 2/3 per annum?

3. The amount becomes 3 times of itself in 6 years at compound interest. In how many years will it become 81 times of itself?

4. Bhuvnesh lends RS 12000 on the condition that he will charge 5% per annum for the first year, 6% per annum for the next two years and 10% per annum for the next three years. Find the amount he will receive as compound interest after the completion of the time period.

5. The simple interest on a certain sum for two years is ` 600 while the compound interest is ` 900. Find the sum and rate of interest per annum

6. An amount becomes RS 12000 in 6 years and RS 18000 in 12 years at compound interest. Find the amount ?

7. RaJesh borrows a sum at3% per annum Compounded yearly and lends it at 5% per annum compounded half yearly . In this way he earns a profit of ` 1320 at the end of the year. Find the sum he borrowed

8. A man bought a car and paid ` 12000 as down payment. He told the seller that he would pay `13050 after 1 years and ` 22680 after two years at 12 1/2 compound interest per annum. At what amount did he purchase the car ?

9. A sum of ` 19515 was divided into two parts and was lent to A and B for 7 years and 9 years respectively. If the rate of compound interest be 4% per annum and after the completion of time they paid equal amount, find the sum lent to A and B.

10. A certain sum was lent at compound interest of 5% per annum for 3 years. Interest of third year is ` 26.25 more than that of second year. Find the total interest at the end of three years and also find the certain sum ?

11. Find the amount that will become ` 28119 in three years at compound interest while the interest rate for the first year is 3%, for the second year is 4% and for the third year is 5% per annum

12. The population of a city in 1973 was x, in 1982 was y and in 1991 was z . If in these years population increment rate be the same, find the relation between x,y and z.

13. A merchant bought a house and a car for `1,25000 and ` 1,80,000 respectively. If the value of the house increases by 20% per annum and the value of the car decreases by 10% per annum then find the profit or loss occured to the merchant after 2 years ?

14. The cost of a T.V. is RS 12,000. A customer bought it after paying RS 4000 as down payment and he promises to pay the rest amount in three equal installment at 5% compound interest per annum. Find the amount of each installment paid by him ?

15. ` 7500 were lent out at 10% compound interest per annum for 3 years. Find the total amount after 3 years also find the amount of interest.

16. ` 6000 was lent out at 10% per annum for 1 1/2 years. Find the amount of interest if the interest being payable compounded half yearly ?

17. A merchant gives a loan at different rates for different years. The rate of compound interest for the first two years is10% per annum, for next three years is 5% per annum, for the last year is 6.25% per annum respectively. A poor man took a loan of ` 6400 from him and paid after the completion of the time period. How much the poor man paid ?

18 . The population of a city increased by 10% in 1996 but due to some natural disaster, in 1997 it decreased by 5%. Again in 1998 it increased by 12%. If in the end of the year 1998 the population of the city was 46816, find the population of the city in the beginning of 1996.

19. I bought a piece of land and in its value there was an increment of 20% per annum for 2 years but a decrement of 25% in the third year. And now I have to sell it for ` 1,08,000. At what amount did I buy it ?

20. The ratio of two amounts is 4 : 5. If they are lent out at compound interest for 2 years and 1 year respectively, then the equal amount is received. Find the rate of interest per annum.