1. If the difference between the compound interest and the simple interest on a certain sum of money for 2 years at an annual interest rate of 9% is ₹129.60, then find the principal amount.

2. 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?

3. What is the difference between the compound interest and simple interest on ₹1950 at an annual interest rate of 8% for 2 years?

(a) ₹ 18 (b) ₹ 12.48 (c) ₹ 48.12 (d) ₹ 24

4. If interest is compounded every 6 months, find the difference between compound interest and simple interest for ₹10,000 at an annual rate of 10% after one year.

(a) ₹ 50 (b) ₹ 25 (c) ₹ 75 (d) ₹ 0

5. The difference between the simple interest and compound interest on ₹200 for 1 year at an annual rate of 10% is ₹2.

6. 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?

7. At an annual interest rate of 9%, if the difference between the compound interest and simple interest on a certain amount for 2 years is ₹129.60, then calculate and write that principal amount.

8. If the difference between the compound interest and simple interest on a certain amount for 3 years at an annual interest rate of 10% is ₹930, then calculate and write that principal amount.

9. What is the difference between the simple interest and compound interest on ₹1250 for 2 years at a rate of 4%?

(a) ₹ 8 (b) ₹ 4 (c) ₹ 3 (d) ₹ 2

10. At an annual interest rate of 10%, compounded semi-annually, the difference between the compound interest and simple interest over 2 years is ₹124.05. Find the principal amount.

11. 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?

12. If the difference between the compound interest and simple interest on ₹1,400 for 2 years is ₹87.50, then what is the annual compound interest rate?

(a) 10% (b) 25% (c) 20% (d) 15%

13. At an annual interest rate of 4%, the difference between the simple interest and compound interest on a principal amount for 2 years is 40 rupees. Determine the principal amount.

14. Let's calculate the difference between the compound interest and the simple interest on ₹12,000 for 2 years at an annual interest rate of 7.5%.

15. Calculate and write the difference between the compound interest and simple interest on ₹10,000 for 3 years at an annual interest rate of 5%.

16. If interest is compounded every 6 months, then at an annual compound interest rate of 10%, what will be the compound amount and compound interest on ₹8000 for 1½ years?

17. At an annual interest rate of 10%, the ratio of simple interest to compound interest on ₹100 for 2 years will be –.

(a) 10:11 (b) 11:10 (c) 20:21 (d) 21:20

18. If the interest is compounded every 6 months at an annual rate of 10%, then calculate the compound interest and the total amount on ₹1600 for \(1\cfrac{1}{2}\) years.

19. Here's the English translation of your sentence: Calculate the compound interest and the total amount on ₹2,400 for 1½ years at an annual compound interest rate of 10%, compounded semi-annually.

20. 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

21. At an annual interest rate of 20%, for how much principal will the difference between compound interest and simple interest for 3 years be ₹1024?

(a) ₹ 2800 (b) ₹ 1100 (c) ₹ 8000 (d) ₹ 3000

22. Determine the principal amount for which the difference between the simple interest and compound interest for 2 years at an annual rate of 4% is 40 rupees.

23. Determine the principal amount for which the difference between the simple interest and compound interest for 2 years at an annual rate of 4% is 80 rupees.

24. If interest is compounded every 6 months, then at an annual compound interest rate of 10%, what is the total compound amount and compound interest on 8000 rupees for \(1\frac{1}{2}\) years?

25. If the simple interest on a certain principal for 1 year is ₹50 and the compound interest for 2 years is ₹102, then calculate and write the amount of the principal and the annual rate of interest.

26. At an annual interest rate of 4%, for how much money will the difference between the simple interest and the compound interest for 2 years be 80 rupees? Let’s calculate and write it down.

27. 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?

28. The simple interest for 2 years and the compound interest for 1 year (with annual compounding) on the same principal at the same rate are ₹800 and ₹820 respectively. Find the principal and the rate of interest.

29. A man left ₹28,000 for his 13-year-old son and 15-year-old daughter with the instruction that, at the age of 18, the amount each receives — including simple interest at an annual rate of 10% — should be equal. Determine the amount allocated to each child.

30. At an annual interest rate of 10%, the compound interest on ₹\(x\) for 2 years is ____ rupees.