1. If a principal amount becomes 560 rupees in 3 years and 600 rupees in 5 years, then what is the principal amount?

(a) ₹ 400 (b) ₹ 500 (c) ₹ 480 (d) ₹ 540

2. If the total amount becomes 966 rupees at an annual simple interest rate of 3% in 5 years, the principal amount will be -

(a) 480 rupees (b) 408 rupees (c) 404 rupees (d) 840 rupees

3. A principal amount increases by \(\cfrac{1}{8}\) of itself every year. If it becomes 900 rupees in 7 years, then what was the initial principal amount?

(a) ₹ 400 (b) ₹ 600 (c) ₹ 800 (d) ₹ 480

4. 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%

5. Some money amounts to 944 rupees in 3 years at simple interest. If the annual rate of interest increases by 25%, then the same money amounts to 980 rupees in the same time. Find the rate of interest and the principal.

6. 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

7. 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

8. 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

9. 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

10. 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.

11. If a principal amount becomes ₹6325 in 3 years and ₹6737.50 in 4\(\frac{1}{2}\) years at compound interest, find the rate of interest and the principal.

12. 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

13. 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?

14. If a certain principal amount becomes ₹1,00,000 in 3 years and ₹1,72,800 in 6 years at compound interest, then what is the interest rate?

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

15. If the simple interest for 1 year on a certain principal amount is 500 rupees and the compound interest for 2 years is 1020 rupees, determine the principal amount and the annual simple interest rate.

16. 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) \(\cfrac{z}{4}\)

17. 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?

18. If the simple interest and compound interest on a certain principal for 2 years are 840 rupees and 869.40 rupees respectively, then let’s calculate and write down the principal amount and the annual rate of interest.

19. 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) \(4p\)

20. 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

21. 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?

22. 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

23. 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

24. If the interest rate increases by 2%, how much principal amount will result in an additional interest of 300 rupees over 5 years?

(a) ₹ 2000 (b) ₹ 3000 (c) ₹ 4000 (d) ₹ 3600

25. A person deposits two separate amounts in a bank at an interest rate of 10% per annum for 5 years. At the end of the term, they receive a difference of 2500 rupees in interest. What was the difference in principal amounts?

(a) ₹ 2000 (b) ₹ 5000 (c) ₹ 10000 (d) ₹ 4000

26. If 1200 rupees grows to 1584 rupees in 4 years with simple interest, then how much principal amount will grow to 2800 rupees in 5 years?

(a) ₹ 2000 (b) ₹ 1800 (c) ₹ 2500 (d) ₹ 2100

27. If a principal amount doubles in 10 years, then the annual simple interest rate is—?

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

28. If the ratio of a principal amount and its amount after 5 years is 5 : 6, then find the annual simple interest rate.

29. 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.

30. At the same rate of simple interest, a certain principal amounts to ₹1056 in 4 years and ₹1248 in 7 years. Find the rate of interest and the principal.