1. 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%

2. 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?

3. At an annual simple interest rate of \(r\%\), if the total interest on a principal for \(n\) years is \(\cfrac{pnr}{25}\) rupees, then the amount of the principal is –

(a) \(2p\) rupees (b) \(4p\) rupees (c) \(\cfrac{p}{2}\) rupees (d) \(\cfrac{p}{4}\) rupees

4. 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

5. If the annual simple interest on a principal is \(\cfrac{1}{9}\) of it, then what will be the accumulated amount in 4 years if the total sum becomes 1326 rupees?

(a) ₹ 1080 (b) ₹ 1120 (c) ₹ 918 (d) ₹ 750

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. 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 total simple interest on a principal amount at an annual rate of \(x\%\) for \(y\) years is \(\frac{pyx}{25}\) rupees, then the principal amount will be:

(a) \(2p\) rupees (b) \(4p\) rupees (c) \(\cfrac{p}{2}\) rupees (d) \(\cfrac{p}{4}\) rupees

9. If the interest on ₹10,000 for 4 years is ₹2,000, then what is the rate of interest?

(a) 3% (b) 4% (c) 5% (d) 6%

10. 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?

11. If the simple interest on 700 rupees for 3 years is 210 rupees, then the annual interest rate will be?

12. At an annual simple interest rate of \(x\%\), if the total interest on a principal amount for \(y\) years is \(\cfrac{xyz}{25}\) rupees, then the principal amount is –

(a) ₹ 2z (b) ₹ 4z (c) \(\cfrac{z}{2}\) (d) \(\cfrac{z}{4}\)

13. 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?

14. Translate: If the simple interest on a certain principal for \(n\) years at a rate of \(r\%\) is \(\frac{pnr}{25}\) rupees, then the amount of the principal is –

(a) \(\cfrac{p}{4}\) (b) \(\cfrac{p}{2}\) (c) \(2p\) (d) \(4p\)

15. At an annual interest rate of \( a\% \), if the interest for \( a \) years on a principal is \( b \) rupees, then the amount of the principal is—

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

16. At an annual simple interest rate of 10%, if the interest for 5 years is x rupees, then the principal amount:

(a) ₹ 2x (b) ₹ 4x (c) ₹ 10x (d) ₹ 20x

17. At an annual simple interest rate of \(x\%\), if the interest on a principal in \(x\) years is \(x\) rupees, then the amount of the principal is –

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

18. If the interest on a principal for 5 years is \(\cfrac{1}{4}\) of the principal, then the annual interest rate will be –

(a) 5% (b) 10% (c) 15% (d) 20%

19. The simple interest on a principal amount is \(\cfrac{1}{6}\) of it per year. If the total amount after 5 years is 2200 rupees, then the principal amount is—

(a) ₹ 1000 (b) ₹ 1200 (c) ₹ 1400 (d) ₹ 1600

20. If the interest rate increases by 5%, the simple interest on 4000 rupees increases by 800 rupees. What is the time period?

(a) 4 years (b) 5 years (c) 6 years (d) 7 years

21. A person deposits 5000 rupees in a bank in two separate accounts for 8 years and 10 years, respectively. If the interest rate is 8%, what is the difference in interest?

(a) ₹ 400 (b) ₹ 600 (c) ₹ 800 (d) ₹ 1200

22. 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

23. If the simple interest for \(n\) years at an annual rate of \(r\%\) is \(\frac{pnr}{25}\) rupees, then the principal amount will be _____ rupees.

24. 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?

25. If the compound interest on ₹5,000 for 2 years is ₹408, what is the annual rate of interest?

26. If the compound interest rate is 6% for the first year and 4% for the second year, what will be the amount after 2 years on ₹22,000?

27. 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?

28. 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?

29. 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 \(\cfrac{a^3}{60}\)?

30. 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.