A sum of Rs. 8,000 is invested for 2 years at 10% per annum compound interest. Calculate :
interest for the first year.

Answer

To calculate the interest for the first year on a sum of Rs. 8,000 invested 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. 8,000
- Rate of Interest (R) = 10% per annum
- Time (T) = 1 year (since we are calculating the interest for the first year)

2. **Use the Simple Interest Formula**:
The formula for calculating Simple Interest (SI) is:
\[ SI = \frac{P \times R \times T}{100} \]

3. **Substitute the Values into the Formula**:
Plugging in the values we have:
\[ SI = \frac{8000 \times 10 \times 1}{100} \]

4. **Calculate the Interest**:
- First, calculate the numerator:
\[ 8000 \times 10 \times 1 = 80000 \]
- Now divide by 100:
\[ SI = \frac{80000}{100} = 800 \]

5. **Conclusion**:
The interest for the first year is Rs. 800.

### Final Answer:
The interest for the first year is **Rs. 800**.

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