1. If 8000 rupees grows to 12000 rupees in 5 years with simple interest, what is the rate of interest?

(a) 8% (b) 10% (c) 12% (d) 15%

2. Under the same rate of interest, the simple interest on ₹800 for 3 years and ₹1000 for 5 years together amounts to ₹592. What is the rate of interest?

(a) 6% (b) 8% (c) 7% (d) 9%

3. Under the same simple interest rate, a principal amount grows to 7000 rupees in 5 years and 8200 rupees in 8 years. What is the rate of interest?

(a) 4% (b) 6% (c) 8% (d) 10%

4. If the simple interest on ₹850 for 3 years and on ₹1250 for 4 years at the same rate amounts to ₹302 in total, then what will be the annual rate of interest?

(a) 3% (b) 5% (c) 7% (d) None of the above

5. Some money becomes 5 times its original amount in 5 years at simple interest. At the same rate of interest, the time required for that principal to become 17 times is:

(a) 17 years (b) 20 years (c) 18 years (d) 19 years

6. If the simple interest on a certain amount for 2 years at a rate of 4% is ₹80, then what is the compound interest?

(a) ₹ 91.60 (b) ₹ 81.60 (c) ₹ 71.60 (d) ₹80

7. If a principal amount doubles in \(x\) years, what is the annual rate of simple interest?

8. A farmer deposited some money in the village post office. After 4 years, he found that the total amount including interest had become ₹434. He calculated that the interest he received was \(\frac{6}{25}\) of his principal amount. Find how much money he had originally deposited and what annual rate of simple interest the post office gave.

9. If \(\frac{1}{6}\) of a principal amount is earned as annual simple interest, what will be the percentage rate of interest?

(a) 10\(\cfrac{2}{3}\%\) (b) 16\(\cfrac{2}{3}\%\) (c) 12% (d) 9\(\cfrac{2}{3}\%\)

10. If the difference between the compound interest and simple interest on a certain sum of money for 3 years at an annual rate of 10% is ₹930, then what is the amount of that sum?

11. If the difference between the compound interest and simple interest on a certain sum for 3 years at an annual rate of 10% is 930 rupees, then what is the principal amount?

12. Here’s the English translation of your question: At a certain fixed rate of simple interest, if a principal amount becomes double in \(x\) years and triple in \(y\) years, then what is the ratio \(x:y\)?

(a) 2:3 (b) 1:2 (c) 3:2 (d) 2:1

13. If a principal becomes \(3\frac{3}{8}\) times the original amount in 3 years at compound interest, what is the annual rate of interest?

14. At an annual simple interest rate of 5%, a person deposits some money in the bank. After 5 years, how much total amount will he receive, if the principal is 12,500 rupees less than the total amount (principal + interest?

15. At an annual simple interest rate of \(x\%\), if the interest on a principal amount for \(x\) years is \(x\) rupees, what is the principal amount?

(a) \(x\) rupees (b) \(100x\) rupees (c) \(\cfrac{100}{x}\) rupees (d) \(\cfrac{100}{x^2}\) rupees

16. If the interest on a principal amount becomes \(\cfrac{3}{8}\) of the principal in 5 years, what is the rate of interest?

(a) 6% (b) 7.5% (c) 8% (d) 10.5%

17. A certain amount of money amounts to ₹700 in 4 years at simple annual interest, and during this time the interest is 40% of the principal. What is the amount of the principal?

(a) ₹ 500 (b) ₹ 400 (c) ₹ 600 (d) ₹ 300

18. If a certain principal amount triples in 15 years at simple interest, then the annual rate of simple interest will be —

(a) \(13\frac{1}{3}\%\) (b) \(12\frac{1}{3}\%\) (c) \(11\frac{1}{3}\%\) (d) \(10\frac{1}{3}\%\)

19. A person deposited ₹100 in a bank, and after 2 years received ₹121 as the total amount under compound interest. What is the annual percentage rate of compound interest?

20. If the annual simple interest rate is \(6\frac{1}{4}\%\), in how many years will any principal amount double with interest?

(a) 5 years (b) 10 years (c) 16 years (d) 12 years

21. Raju lent ₹400 to Ajay for 2 years and ₹100 to Manoj for 4 years. He received a total of ₹60 as simple interest from both. What is the annual rate of simple interest?

22. If the difference between the compound interest and simple interest on a certain principal for 2 years at an annual rate of 5% is ₹25, then what is the amount of the principal?

23. At an annual simple interest rate of \(\cfrac{a}{5}\)%, if the interest on ₹\(a^2\) for \(\cfrac{a}{3}\) years equals the principal amount, then what is the value of \(\cfrac{a^3}{60}\)?

24. ₹6300 is divided into two parts in such a way that the simple interest on the first part at an annual rate of 10% for 6 years is equal to the simple interest on the second part at an annual rate of 15% for 3 years. Find the amounts of the two parts.

(a) ₹ 2700,₹3600 (b) ₹ 3000,₹ 3300 (c) ₹ 4000,₹ 2300 (d) ₹ 5000,₹ 1300

25. If ₹1413 triples in 25 years at an annual simple interest rate of \(r\%\), what is the value of \(r\)?

(a) 8 (b) 15 (c) 20 (d) 5

26. If a certain amount becomes ₹1357 in 15 years at an annual simple interest rate of 7%, what is the interest amount?

(a) ₹ 695 (b) ₹ 771 (c) ₹ 717 (d) none of the above

27. If the simple interest on a certain amount at an annual interest rate of 8% for 2 years is ₹850, then what will be the compound interest for the same period?

(a) ₹ 1684 (b) ₹984 (c) ₹ 884 (d) none of the above

28. If the difference between the compound interest and simple interest on a certain sum at a rate of 20% per annum for 3 years is ₹800, what is the principal amount?

(a) ₹ 5250 (b) ₹ 8650 (c) ₹ 6250 (d) none of the above

29. If the simple interest on a certain principal at an annual interest rate of 18% for 2 years is ₹800, what will be the compound interest?

(a) ₹ 672 (b) ₹ 872 (c) ₹ 560 (d) ₹ 730

30. What would be the annual simple interest rate (percentage) if the interest for 4 years on a certain amount is \(\cfrac{8}{25}\) of the principal?