If a sum was Rs. 10000 more and was lent at S.I. for 2 years at 10% per annum, then the extra interest would be ____ (in Rs. ).

Options

A. 4000
B. 1000
C. 2000
D. 500

Explanation

To solve the problem, we need to calculate the extra interest earned when an additional sum of Rs. 10,000 is lent at simple interest for 2 years at a rate of 10% per annum.

### Step-by-Step Solution:

1. **Identify the given values**:
- Extra sum (Principal, P) = Rs. 10,000
- Rate of interest (R) = 10% per annum
- Time (T) = 2 years

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

3. **Substitute the values into the formula**:
\[ \text{SI} = \frac{10,000 \times 10 \times 2}{100} \]

4. **Calculate the interest**:
- First, calculate the numerator:
\[ 10,000 \times 10 \times 2 = 200,000 \]
- Now, divide by 100:
\[ \text{SI} = \frac{200,000}{100} = 2,000 \]

5. **Conclusion**:
The extra interest earned on the additional Rs. 10,000 lent at simple interest for 2 years at 10% per annum is Rs. 2,000.

### Final Answer:
The extra interest would be **Rs. 2,000**.

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