If a radio is purchased for Rs 490 and sold for Rs 465.5. Find the loss percentage.

Answer

To find the loss percentage when a radio is purchased for Rs 490 and sold for Rs 465.5, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Cost Price (CP) and Selling Price (SP)**:
- Cost Price (CP) = Rs 490
- Selling Price (SP) = Rs 465.5

2. **Calculate the Loss**:
- Loss = Cost Price - Selling Price
- Loss = 490 - 465.5
- Loss = Rs 24.5

3. **Calculate the Loss Percentage**:
- The formula for Loss Percentage is:
\[ \text{Loss Percentage} = \left( \frac{\text{Loss}}{\text{Cost Price}} \right) \times 100 \]
- Substitute the values:
\[ \text{Loss Percentage} = \left( \frac{24.5}{490} \right) \times 100 \]

4. **Perform the Division**:
- Calculate \( \frac{24.5}{490} \):
\[ \frac{24.5}{490} = 0.05 \]

5. **Multiply by 100 to get the percentage**:
- Loss Percentage = \( 0.05 \times 100 = 5\% \)

### Final Answer:
The loss percentage is **5%**.