A man invests Rs. 9,600 at 10% per annum compound interest for 3 years. Calculate :
the amount at the end of the first year.

Answer

To calculate the amount at the end of the first year for a man who invests Rs. 9,600 at a 10% per annum compound interest rate, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Principal (P) = Rs. 9,600
- Rate of Interest (r) = 10% per annum
- Time (n) = 1 year (since we want the amount at the end of the first year)

2. **Use the Compound Interest Formula**:
The formula for calculating the amount (A) using compound interest is:
\[ A = P \left(1 + \frac{r}{100}\right)^n \]

3. **Substitute the Values into the Formula**:
Plugging in the values we have:
\[ A = 9600 \left(1 + \frac{10}{100}\right)^1 \]

4. **Simplify the Expression Inside the Bracket**:
Calculate \(1 + \frac{10}{100}\):
\[ 1 + \frac{10}{100} = 1 + 0.1 = 1.1 \]

5. **Calculate the Amount**:
Now substitute back into the formula:
\[ A = 9600 \times 1.1 \]
\[ A = 9600 \times 1.1 = 10560 \]

6. **Final Result**:
Therefore, the amount at the end of the first year is:
\[ A = Rs. 10,560 \]