1. 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

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

3. The simple interest for \( a \) rupees at an annual rate of 10% for \( b \) months is—

(a) \(\cfrac{ab}{100}\) rupees (b) \(\cfrac{ab}{120}\) rupees (c) \(\cfrac{ab}{1200}\) rupees (d) \(\cfrac{ab}{10}\) rupees

4. At an annual simple interest rate of 5%, how many years will it take for the interest on ₹6000 to become ₹1500?

(a) 3 years (b) 30 years (c) 5 years (d) 15 years

5. 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

6. Calculate the amount of money for which the monthly interest will be 1 rupee at an annual simple interest rate of 5%.

7. 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?

8. Which one will be less: the simple interest for 2 years or the compound interest with annual compounding for 2 years, on a fixed principal, if the rate of interest is the same?

9. At what annual rate of interest will the simple interest on ₹900 for 4 years be equal to the simple interest on ₹720 for 6 years at 5% per annum?

10. 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

11. A bank gives simple interest at an annual rate of 5%. A person deposited ₹15,000 at the beginning of the year. After 3 months, he withdrew ₹3,000, and 3 months after the withdrawal, he deposited ₹8,000 again. Calculate the total amount (principal + interest) he will receive at the end of the year.

12. For a fixed amount of money, at a fixed annual rate of interest, the compound interest and simple interest will be equal in -- years.

13. Doubling the principal means Principal \((p) =\) Interest \((I) = x\) taka Rate of interest \((r) = 6\frac{1}{4}\% = \frac{25}{4}\%\) \[ \therefore \text{Time } (t) = \frac{100 \times I}{p \times r} \text{ years} = \frac{100 \times x}{x \times \frac{25}{4}} = \frac{100 \times 4}{25} = 16 \text{ years} \] \[ \therefore \text{At an annual simple interest rate of } 6\frac{1}{4}\%, \text{ any principal will double in 16 years.} \]

14. Mr. Amal bequeaths ₹56,000 in his will for his two sons aged 13 and 15 in such a way that, when they each turn 18, the simple interest earned at an annual rate of 10% will be equal to the principal for each. What will be the allocated amount for each son in the will?

15. 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

16. Jayanta deposits ₹100 on the first day of each month in a monthly savings scheme. He continues this for one year. If the annual simple interest rate is 6%, how much total amount (principal + interest) will he receive at the end of the year?

17. 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

18. If the simple interest on a certain principal at an annual interest rate of 18% for 2 years is ₹800, what will be the compound interest?

(a) ₹ 672 (b) ₹ 872 (c) ₹ 560 (d) ₹ 730

19. Jayanta deposits 1,000 INR on the first day of each month in a monthly savings scheme. If the bank offers a 5% annual simple interest rate, what will be the total amount including interest after 6 months?

20. If the simple interest on \(a\) INR for \(b\) months is \(c\) INR, then the annual percentage interest rate will be? (Question)

(a) \(\cfrac{1200a}{bc}\%\) (b) \(\cfrac{1200c}{ab}\%\) (c) \(\cfrac{100b}{ac}\%\) (d) \(\cfrac{100ac}{ab}\%\)

21. A bank provides an annual simple interest rate of 5%. At the beginning of the year, Mr. Dip deposited 15,000 rupees. Three months later, he withdrew 3,000 rupees, and three months after withdrawing the amount, he deposited 4,000 rupees again. At the end of the year, how much money will Mr. Dip receive from the bank, including interest?

22. At an annual interest rate of 5%, what will be the total amount for ₹1000 after 18 months, including interest?

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

24. Ishan deposits 1000 rupees on the first day of each month in a monthly savings scheme. If the annual simple interest rate is 5%, how much will Ishan receive, including interest, at the end of 9 months?

25. 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

26. The simple interest on ₹\(b\) for \(c\) months at an annual rate of \(a\%\).

(a) \(\cfrac{abc}{1200}\) (b) \(\cfrac{abc}{100}\) (c) \(\cfrac{abc}{200}\) (d) \(\cfrac{abc}{120}\)

27. 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?

28. Calculate the amount on ₹960 at an annual simple interest rate of \(8\frac{1}{3}\%\) for 1 year and 3 months.

29. A bank offers simple interest at an annual rate of 5%. At the beginning of the year, Mr. Dipubabu deposited ₹15000 in that bank. After 3 months, he withdrew ₹3000, and 3 months after the withdrawal, he deposited ₹8000 again. Calculate and determine how much he will receive at the end of the year, including both principal and interest.

30. 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.