1. If the principal is \(p\) rupees and the annual compound interest rates for the first, second, and third years are \(r_1\%\), \(r_2\%\), and \(r_3\%\) respectively, then what will be the total compound amount after 3 years?

2. Aman borrowed ₹25,000 for 3 years, with annual compound interest rates of 4% for the first year, 5% for the second year, and 6% for the third year. What amount will Aman repay (including principal and interest) at the end of 3 years?

3. Sudip Babu deposited ₹7,800 in the bank at compound interest. If the compound interest rates for the first, second, third, and fourth years are 5%, 4%, 10%, and 12% respectively, then what will be the compound principal after 4 years?

(a) ₹ 10,493.68 (b) ₹ 10,000 (c) ₹ 14,936 (d) none of the above

4. If the interest is compounded semi-annually, what will be the compound amount on ₹10,000 for \(1\cfrac{1}{2}\) years, where the annual compound interest rates are 10% for the first period, 20% for the second period, and 40% for the third period?

5. If the compound interest rates for the first, second, and third years are 6%, 4%, and 10% respectively, then how much total amount (principal + interest) will a person receive after investing ₹50,000 for 3 years?

6. In compound interest, if the interest rates for the first, second, and third years are \(r_1\%\), \(r_2\%\), and \(2r_3\%\) respectively, then the amount after 3 years on a principal of ₹\(P\) will be: \[ P\left(1 + \cfrac{r_1}{100}\right)\left(1 + \cfrac{r_2}{100}\right)\left(1 + \cfrac{r_3}{100}\right) \]

7. Aminur borrowed ₹64,000 from a bank. If the bank's interest rate is 2.5 paise per rupee per year, then what will be the compound interest on that amount for 2 years?

8. If the annual compound interest rate is 4% in the first year and 5% in the second year, calculate the compound interest on ₹25,000 for 2 years.

9. If the annual interest rates for ₹8000 in the first and second years are 9% and 10% respectively, then the amount after 2 years including interest will be –

(a) ₹ 9295 (b) ₹9952 (c) ₹ 9259 (d) ₹ 9592

10. If the annual compound interest rate is 5% for the first year and 6% for the second year, then calculate the compound interest on ₹5000 for 2 years.

11. 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

12. 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?

13. My uncle borrowed ₹40,000 for 3 years in such a way that the annual compound interest rates for the first, second, and third years were 2%, 3%, and 4% respectively. How much money will he repay (principal + interest) at the end of 3 years?

14. 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?

15. If ₹780 is invested for the first 5 years at an interest rate of 4%, for the next 4 years at 5%, and for the last 5 years at 7%, what will be the total interest amount?

(a) ₹ 855 (b) ₹ 685 (c) ₹ 709 (d) ₹ 585

16. 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

17. 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

18. If the interest rates for the first, second, and third years are 5%, 10%, and 15% respectively, what will be the compound interest on ₹5000 at the end of 3 years?

(a) ₹ 2000 (b) ₹1900 (c) ₹ 1700 (d) ₹ 1641.25

19. 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.

20. If the annual compound interest rate is 7% for the first year and 8% for the second year, then calculate and write the compound interest on ₹6000 for 2 years.

21. 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

22. 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

23. A man takes a loan of ₹500 at 6% simple interest per annum. Exactly two years after taking the first loan, he takes a second loan of ₹900 at 4% simple interest per annum. After how many years from the time of the first loan will the interest amounts on both loans be equal? Also, what will be the total interest on both loans at that time?

24. Prakash Babu invested ₹48,000 for 2 years at an annual compound interest rate of 10%. If 20% income tax is deducted from the interest earned each year, how much money will he receive at the end of the second year?

25. 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.

26. 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?

27. If ₹1400 is deposited in a bank with an interest rate of 6% for the first 4 years and 3% for the next 6 years, the interest received after 10 years will be-

(a) ₹ 120 (b) ₹ 588 (c) ₹ 230 (d) ₹ 448

28. 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%

29. What will be the amount after 2 years on ₹625 at an annual compound interest rate of 4%?

(a) ₹ 6250 (b) ₹ 676 (c) ₹ 6760 (d) ₹ 628

30. 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