1. 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.

2. 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.

3. A man deposited ₹42,000 in a bank in the names of his two sons, aged 12 and 10 respectively, such that when each turns 18, they receive the same amount of interest. The rate of interest is 10%. Find how much money was deposited in the name of the elder son.

4. A man deposited a total of ₹29,000 in a bank in the names of his two daughters, aged 12 and 14, in such a way that when each turns 18, they would receive the same amount including principal and interest at a 10% rate of interest. Find how much money was deposited in the name of the elder daughter.

(a) 15000 (b) 16000 (c) 18000 (d) 20000

5. Rambabu divided his total money between two banks in such a way that he received equal interest from both banks after one year. The annual interest rates of the two banks are 4% and 5%, respectively. The amount of money deposited in the second bank is — of the amount deposited in the first bank.

(a) \(\frac{1}{2}\) part (b) \(\frac{1}{3}\) part (c) \(\frac{1}{6}\) part (d) twice

6. Bimal Babu deposited ₹1,87,500 in a bank at an annual simple interest rate of 5% for his 12-year-old son and 14-year-old daughter in such a way that when both turn 18, they receive equal amounts, including interest. Determine how much he deposited separately for his son and daughter.

7. Bimal Kaku deposited 56,000 INR in a bank for his two sons, aged 13 and 15 years, in such a way that when they turn 18, the simple interest earned at an annual rate of 10% on each deposit equals the respective principal amount. Determine how much he deposited in each son's name.