A sum fetched a total simple interest of Rs. 4450 at the rate of 10% p.a. in 5 years. What is the sum?

Options

A. Rs. 4462
B. Rs. 8032
C. Rs. 8900
D. Rs. 8925

Answer

To solve the problem, we need to find the principal amount (sum) using the formula for simple interest. The formula for simple interest (SI) is:

\[ SI = \frac{P \times R \times T}{100} \]

Where:
- \( SI \) = Simple Interest
- \( P \) = Principal amount (the sum we want to find)
- \( R \) = Rate of interest per annum
- \( T \) = Time in years

### Step-by-Step Solution:

1. **Identify the given values:**
- Total Simple Interest (SI) = Rs. 4450
- Rate of Interest (R) = 10% per annum
- Time (T) = 5 years

2. **Substitute the known values into the formula:**
\[ 4450 = \frac{P \times 10 \times 5}{100} \]

3. **Simplify the equation:**
- First, calculate \( 10 \times 5 = 50 \):
\[ 4450 = \frac{P \times 50}{100} \]
- Now simplify \( \frac{50}{100} = 0.5 \):
\[ 4450 = P \times 0.5 \]

4. **Solve for \( P \):**
- To isolate \( P \), divide both sides by 0.5:
\[ P = \frac{4450}{0.5} \]
- Calculating the right side:
\[ P = 4450 \times 2 = 8900 \]

5. **Conclusion:**
The principal amount (sum) is Rs. 8900.

### Final Answer:
The sum is Rs. 8900.

---