1. At a monthly interest rate of 2%, the interest on 350 rupees for \(1\frac{1}{3}\) years will be—

(a) ₹ 120 (b) ₹ 112 (c) ₹ 124 (d) ₹ 130

2. 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

3. At an annual simple interest rate of 6%, the interest for 5 months is \(\cfrac{x}{10}\) rupees. What will the principal be?

(a) ₹ 2x (b) ₹ 4x (c) ₹ 10x (d) ₹ 20x

4. At an annual interest rate of 5%, for how many years will the interest on 300 rupees amount to 120 rupees?

(a) 4 (b) 8 (c) 12 (d) 12\(\frac{1}{2}\)

5. At an annual simple interest rate of 10%, how much money will become 14,000 rupees in 4 years?

(a) ₹ 12500 (b) ₹ 12000 (c) ₹ 12600 (d) ₹ 10000

6. 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

7. 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

8. What time period will yield the same interest as 10000 rupees at 10% for 20 years, when invested at 8% on 25000 rupees?

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

9. 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?

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

11. 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?

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. 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

14. If the interest rates for the first, second, and third years are 5%, 8%, and 10%, respectively, then the compound principal at the end of 3 years on ₹16,000 would be—

(a) ₹ 16,958 (b) ₹ 19,958.40 (c) ₹ 17,958 (d) ₹ 18,958.40

15. 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

16. At an annual simple interest rate of \(x\%\), the interest on 120 rupees for 10 months will be _____ rupees.

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

18. Determine the principal amount for which the monthly interest will be 10 rupees at an annual simple interest rate of 5%.

19. A person borrows ₹2,40,000 at an annual simple interest rate of 12% to build a house. One year after taking the loan, they start renting out the house for ₹5,200 per month. After how many years from taking the loan will the rental income be enough to repay the entire loan along with the accrued interest?

20. 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?

21. 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?

22. 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: \[ P\left(1 + \cfrac{r_1}{100}\right)\left(1 + \cfrac{r_2}{100}\right)\left(1 + \cfrac{r_3}{100}\right) \]

23. Rahmat Chacha borrowed ₹240000 from a bank at an annual simple interest rate of 12% to build a house. One year after borrowing, he started renting out the house for ₹5200 per month. Calculate and determine after how many years from borrowing he will be able to repay the bank loan along with interest using the rental income.

24. Mr. Rathin deposits money in the bank for each of his two daughters in such a way that when each daughter turns 18 years old, she will receive ₹120000. The bank offers simple interest at an annual rate of 10%. The current ages of the daughters are 13 years and 8 years respectively. Calculate how much Mr. Rathin deposited in the bank for each daughter.

25. Write the calculation to determine the principal amount for which the compound interest for 3 years at an annual compound interest rate of 10% will be ₹2648.

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. Determine how many years it will take for ₹105 interest to accumulate on ₹500 at an annual compound interest rate of 10%.

28. 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

29. 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

30. 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%