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A man borrows रु 10,000 at 10% compound ...

A man borrows रु 10,000 at 10% compound interest compounded yearly. At the end of each year, he pays back 30% of the sum borrowed. How much money is left unpaid just after the second year?

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To solve the problem step by step, we will calculate the compound interest and the remaining amount after each year. ### Step 1: Calculate the interest for the first year. - Principal amount (P) = रु 10,000 - Rate of interest (R) = 10% - Time (T) = 1 year The formula for calculating simple interest is: \[ \text{Interest} = \frac{P \times R \times T}{100} \] Calculating the interest: \[ \text{Interest} = \frac{10,000 \times 10 \times 1}{100} = 1,000 \] ### Step 2: Calculate the total amount after the first year. Total amount after the first year (A) is given by: \[ A = P + \text{Interest} \] \[ A = 10,000 + 1,000 = 11,000 \] ### Step 3: Calculate the repayment at the end of the first year. The man pays back 30% of the sum borrowed (which is रु 10,000): \[ \text{Repayment} = 30\% \text{ of } 10,000 = \frac{30}{100} \times 10,000 = 3,000 \] ### Step 4: Calculate the remaining amount after the first year. Remaining amount after the first year: \[ \text{Remaining Amount} = A - \text{Repayment} \] \[ \text{Remaining Amount} = 11,000 - 3,000 = 8,000 \] ### Step 5: Calculate the interest for the second year on the remaining amount. Now, we will calculate the interest for the second year using the remaining amount (रु 8,000): \[ \text{Interest for second year} = \frac{8,000 \times 10 \times 1}{100} = 800 \] ### Step 6: Calculate the total amount after the second year. Total amount after the second year: \[ A = \text{Remaining Amount} + \text{Interest for second year} \] \[ A = 8,000 + 800 = 8,800 \] ### Step 7: Calculate the repayment at the end of the second year. Again, the man pays back 30% of the original sum borrowed (रु 10,000): \[ \text{Repayment} = 3,000 \] ### Step 8: Calculate the remaining amount after the second year. Remaining amount after the second year: \[ \text{Remaining Amount} = A - \text{Repayment} \] \[ \text{Remaining Amount} = 8,800 - 3,000 = 5,800 \] ### Final Answer: The amount left unpaid just after the second year is **रु 5,800**. ---
To solve the problem step by step, we will calculate the compound interest and the remaining amount after each year. ### Step 1: Calculate the interest for the first year. - Principal amount (P) = रु 10,000 - Rate of interest (R) = 10% - Time (T) = 1 year The formula for calculating simple interest is: ...
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