Find the amount of Rs 8000 after 2 years at the rate of 12% per annum compounded annuallys.

Answer

To find the amount of Rs 8000 after 2 years at the rate of 12% per annum compounded annually, we will use the compound interest formula:

### Step-by-Step Solution:

1. **Identify the Variables**:
- Principal (P) = Rs 8000
- Rate of interest (r) = 12% per annum
- Time (n) = 2 years

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

3. **Substitute the Values into the Formula**:
\[ A = 8000 \left(1 + \frac{12}{100}\right)^2 \]

4. **Calculate the Value Inside the Parentheses**:
\[ A = 8000 \left(1 + 0.12\right)^2 = 8000 \left(1.12\right)^2 \]

5. **Calculate \( (1.12)^2 \)**:
\[ (1.12)^2 = 1.2544 \]

6. **Multiply by the Principal Amount**:
\[ A = 8000 \times 1.2544 \]

7. **Final Calculation**:
\[ A = 10035.2 \]

### Conclusion:
The amount after 2 years will be Rs 10035.2.