The simple interest on a certain sum for 3 yr at 4% per annum is Rs. 48. The principal is

Options

A. Rs. 550
B. Rs. 500
C. Rs. 450
D. Rs. 400

Answer

To find the principal amount (P) based on the given simple interest (SI), we can use the formula for simple interest:

### Step-by-Step Solution:

1. **Identify the given values**:
- Simple Interest (SI) = Rs. 48
- Time (T) = 3 years
- Rate (R) = 4% per annum

2. **Write the formula for Simple Interest**:
\[ SI = \frac{P \times R \times T}{100} \]

3. **Substitute the known values into the formula**:
\[ 48 = \frac{P \times 4 \times 3}{100} \]

4. **Simplify the equation**:
- Calculate \(4 \times 3 = 12\):
\[ 48 = \frac{12P}{100} \]

5. **Multiply both sides by 100 to eliminate the fraction**:
\[ 4800 = 12P \]

6. **Divide both sides by 12 to solve for P**:
\[ P = \frac{4800}{12} \]

7. **Calculate the value of P**:
\[ P = 400 \]

### Conclusion:
The principal amount is Rs. 400.

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