1. An agricultural cooperative society provides loans to its members at an annual simple interest rate of 4%. However, borrowing from a bank incurs a 7.4% annual simple interest rate. If a farmer borrows ₹5000 from the cooperative society instead of a bank, calculate and write how much interest the farmer saves in a year.

2. A man borrowed a certain amount of money at an annual compound interest rate of 5%. He repaid ₹3,150 at the end of the first year and ₹4,410 at the end of the second year to clear the loan. What was the amount he originally borrowed?

3. A borrowed ₹860 from B at an annual simple interest rate of 6%, with the agreement to repay the loan over the next four yearly installments. In each of the first three installments, A would pay only one-fourth of the principal. In the final (fourth year’s) installment, A would pay the remaining principal and the total accumulated interest. What amount will A pay at the end of the fourth year?

4. A borrowed ₹960 from B at an annual simple interest rate of 6%, with the condition that the loan will be repaid over the next 4 yearly installments. In the first 3 installments, A will pay only one-fourth of the principal each year. In the final (4th) installment, A will pay the remaining principal along with the total interest accrued over the 4 years. Find the total amount A will pay at the end of the 4th year.

5. Three friends contributed ₹8,000, ₹10,000, and ₹12,000 respectively and started a business by also taking a loan from the bank. At the end of the year, they made a profit of ₹13,400. After repaying the bank’s annual installment of ₹5,000 from the profit, they divided the remaining amount among themselves in proportion to their capital contributions. How much will each of them receive from the remaining profit?

6. A person borrows some money under the condition that at the end of the first year, they repay 3,150 INR, and at the end of the second year, they repay 4,410 INR. If the compound interest rate is 5%, how much money did they borrow?

7. Two friends borrowed ₹15,000 from a bank at an annual simple interest rate of 12% to run a small business together. Calculate how much interest they will have to pay after 4 years.

8. Under the condition that no interest will be charged if the money is repaid within two years, three friends borrowed ₹6000, ₹8000, and ₹5000 respectively from a cooperative bank to jointly purchase four cycle rickshaws. After two years, after deducting all expenses, their total income amounted to ₹30,400. They divided this income in proportion to their capital contributions and then repaid their individual bank loans. Now, calculate how much money each person will have left in hand and what the ratio of the remaining amounts will be.

9. 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?

10. 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?

11. A farmer deposits ₹100 at the post office on the first day of every month. If the annual rate of simple interest is 5%, what will be the total amount (principal + interest) he receives at the end of the year?

12. Ramen Babu deposits a total of ₹3,70,000 in three banks. The annual simple interest rates of the three banks are 4%, 5%, and 6% respectively. After one year, the total interest earned from each bank is the same. How much money did he deposit in each bank?

13. 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.

14. A weaving cooperative society borrowed ₹15,000 from a bank to purchase a power loom. After 5 years, the society had to repay ₹22,125 to settle the loan. Determine the annual rate of interest charged by the bank.

15. Mr. Jayanta deposits ₹1,000 on the first day of every month in a monthly scheme. If the annual simple interest rate is 5%, then how much total amount (principal + interest) will he receive at the end of the year?

16. 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?

17. Rokeya takes a loan from the bank under the condition that she will pay interest at an annual simple interest rate of 10% and repay \(\frac{1}{5}\) of the principal every two years. If she pays 10,000 currency units as the first installment after two years, determine the amount she borrowed.

18. 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?

19. A handloom cooperative society borrowed ₹15000 to purchase a power loom. After 5 years, the society had to repay ₹22125 to clear the debt. Determine the annual percentage rate of simple interest charged by the bank.

20. When Aslam Chacha retired from work, he received ₹1,00,000. He deposited part of the money in a bank and the rest in the post office. Every year, he receives ₹5400 as interest in total. If the annual simple interest rates of the bank and post office are 5% and 6% respectively, calculate and write how much money he deposited in each.

21. 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.

22. Ramen Babu deposited a total of ₹370,000 across three banks. The annual simple interest rates for these three banks are 40%, 5%, and 6%, respectively. After one year, the amount of interest he earns from each bank is the same. Let us calculate how much money he deposited in each of the three banks.