A chair having the marked price Rs 500 is sold for Rs 380. The rate of discount is

Options

A. `20%`
B. `24% `
C. `2.4% `
D. `31.57%`

Answer

To find the rate of discount on the chair, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Marked Price (MP) and Selling Price (SP)**:
- The marked price (MP) of the chair is given as Rs 500.
- The selling price (SP) of the chair is given as Rs 380.

2. **Calculate the Discount**:
- The discount can be calculated using the formula:
\[ \text{Discount} = \text{Marked Price} - \text{Selling Price} \]
- Substituting the values:
\[ \text{Discount} = 500 - 380 = 120 \text{ Rs} \]

3. **Calculate the Rate of Discount**:
- The rate of discount is calculated using the formula:
\[ \text{Rate of Discount} = \left( \frac{\text{Discount}}{\text{Marked Price}} \right) \times 100 \]
- Substituting the values:
\[ \text{Rate of Discount} = \left( \frac{120}{500} \right) \times 100 \]

4. **Simplify the Calculation**:
- First, simplify \( \frac{120}{500} \):
\[ \frac{120}{500} = \frac{12}{50} = \frac{6}{25} \]
- Now, calculate \( \frac{6}{25} \times 100 \):
\[ \frac{6 \times 100}{25} = \frac{600}{25} = 24 \]

5. **Conclusion**:
- The rate of discount is 24%.

### Final Answer:
The rate of discount on the chair is **24%**.