Find the time taken when interest is paid Rs. 50 on Rs. 500 at the rate of interest 5%.

Answer

To find the time taken when interest is paid Rs. 50 on Rs. 500 at the rate of interest 5%, we can use the formula for Simple Interest (SI):

### Step-by-Step Solution:

1. **Identify the given values:**
- Principal (P) = Rs. 500
- Simple Interest (SI) = Rs. 50
- Rate of Interest (R) = 5%

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

3. **Substitute the known values into the formula:**
\[ 50 = \frac{500 \times 5 \times T}{100} \]

4. **Simplify the equation:**
- First, calculate \(500 \times 5\):
\[ 500 \times 5 = 2500 \]
- Now the equation becomes:
\[ 50 = \frac{2500 \times T}{100} \]

5. **Multiply both sides by 100 to eliminate the fraction:**
\[ 50 \times 100 = 2500 \times T \]
\[ 5000 = 2500 \times T \]

6. **Divide both sides by 2500 to solve for T:**
\[ T = \frac{5000}{2500} \]
\[ T = 2 \]

7. **Conclusion:**
The time taken is \(T = 2\) years.

### Final Answer:
The time taken is **2 years**.

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