A man gets a discount of 32% and then 25% on his shopping bill of ₹5000. What is the total discount percentage he got?

Options

A. `57%`
B. `49%`
C. `7%`
D. `45%`

Answer

To solve the problem of finding the total discount percentage after two successive discounts of 32% and 25% on a shopping bill of ₹5000, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Discounts**:
- First discount (D1) = 32%
- Second discount (D2) = 25%
- Mark Price (MP) = ₹5000

2. **Calculate the Selling Price after the First Discount**:
- The selling price after the first discount can be calculated using the formula:
\[ SP_1 = MP \times \left(1 - \frac{D1}{100}\right) \]
- Substituting the values:
\[ SP_1 = 5000 \times \left(1 - \frac{32}{100}\right) = 5000 \times \left(1 - 0.32\right) = 5000 \times 0.68 = ₹3400 \]

3. **Calculate the Selling Price after the Second Discount**:
- Now, we apply the second discount on the new selling price:
\[ SP_2 = SP_1 \times \left(1 - \frac{D2}{100}\right) \]
- Substituting the values:
\[ SP_2 = 3400 \times \left(1 - \frac{25}{100}\right) = 3400 \times \left(1 - 0.25\right) = 3400 \times 0.75 = ₹2550 \]

4. **Calculate the Total Discount**:
- The total discount amount can be calculated as:
\[ \text{Total Discount} = MP - SP_2 = 5000 - 2550 = ₹2450 \]

5. **Calculate the Total Discount Percentage**:
- Finally, to find the total discount percentage, we use the formula:
\[ \text{Total Discount Percentage} = \left(\frac{\text{Total Discount}}{MP}\right) \times 100 \]
- Substituting the values:
\[ \text{Total Discount Percentage} = \left(\frac{2450}{5000}\right) \times 100 = 0.49 \times 100 = 49\% \]

### Final Answer:
The total discount percentage the man received is **49%**.