exam on simple interest and compound interest test 1

1. ` 3600 was lent out on simple interest at 6 1/4 per annum. What will be the amount after 2 1/3 years?

2. ` 12000 was divided into two parts and first was lent out at 8% per annum rate of simple interest for 5 years and the other part was lent out at 10% per annum rate of simple interest for 4 years. If the interest on first part is thrice that of the second part, find the difference between two parts–

3. A certain amount becomes ` 1200 in 6 years and `1350 in 9 years at certain rate of simple interest. Find the rate of simple interest-

4. Rajesh lent out his 1/3 amount at 7% per annum 2 5 amount at 10% per annum and the rest at 12% per annum. If after two year his income is `1430 find the amount he lent out :

5. An amount of `18600 is divided into three parts and these parts are lent out for 2 years, 4 years and 5 years respectively. If the rate of simple interest is 10% p.a., then the amount of all 3 parts become same. Find the three parts :

6. Shiv lent out a certain sum at 5% per annum and 6 months later he lent out the same sum at 6% per annum. After a certain time shiv got Rs. 4600 total amount from each. How much money did he lend each time?

7. Bhuvnesh lent out a certain amount at 6% per annum for 2 years and another at 7% per annum for the same time and after the completion of the period. He got ` 2478 as interest. If one-fourth of the first amount is equal to onefifth of the second amount. Find the total amount he lent out–

8. A certain amount was taken as loan at 6% per annum loan. In the first year Rs.6800 was paid back and the rest money was charged with 5% p.a. . If the interest for second year is 11 20 of the interest of Ist year, then find the amount taken on loan.

9. ` 30,000 is paid back in three annual installments. If the interest on the rest of the money at 4% added to each installment, find all three installments.

10. A certain amount becomes 29/25 times at simple interest. If the numerical value of interest rate and time be the same, find the rate of interest.

11. A certain amount becomes ` 3000 at 4% per annum in 6 1/4 years. What will be amount at 6 2/3 per annum in 5 1/2 years?

12. Jitu has ` 20,000 out of which he lends ` 4000 at 7% per annum, ` 6000 at 8% per annum, 5000 at 10% per annum and the remaining at r%. If after calculation he get to know that he had gained 12% income on the whole amount, find the value of r.

13. Radha lent out some money at 8.37%. Per annum rate of simple interest for 2 1/2 years. She calculated that had she given it at 1.37% less, she would have received ` 6850 less. What amount he lent out?

14. X lent out a part of ` 22000 to Y and the rest to Z. The ratio of rates at which he lent to X and Y was 4 : 5 and the ratio of time was 2 1 2 : 3 1 2 If both paid the same interest, find the amount taken on loan by each of them.

15. ` 2250 was divided into two parts and first was lent out at 4 1/2 % per annum for 3 years while the other at 6% per annum for 1 4/5 years. It same interest is received in both the investments. Find the difference between two parts lent out.

16. rs:44900 is divided among four people. If they pay equal amount (principal amount + interest) after 2 years, 4 years, 6 years and 10 years at 10% per annum rate of simple interest. Find the difference of the maximum and the minimum share they received.

17. ` 33220 was divided among three friends. If after 4 years 5 years and 10 years respectively they paid same interest amount, interest rate being 7% per annum, Find the share of each of them.

18. A lent out 4800 to B at 8% per annum rate of simple interest for 2 years. B lent the same amount to C at 3% more for the same time period. If after the completion of time B paid back to A and C paid back to B, Find the profit of B.

19. A certain amount was lent out at 8% per annum rate of simple interest and after one year ` 4680 was paid back and the interest rate on the remaining sum was made 7% per annum. If the interest of second year is 3/4 of the first year’s interest, find the amount lent out

20. X, Y and Z are three friends. X took loan from Y and Z of ` 1200 and 1600 at 5% per annum and at 4% per annum respectively for 3 years. After the completion of the time X returned the amount with interest to Y and Z. Being a friend Y and Z returned 1% of the interest they received from X. Find the actual interest X paid to Y and Z.