A company showroom gives a discount of 20% on the second grade shoes and a further discount of 15% on shareholder's coupon. The total discount, a coupon holder will get is

Options

A. `32 %`
B. `36%`
C. `35%`
D. `38%`

Answer

To solve the problem of calculating the total discount a coupon holder will receive when given two successive discounts, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Discounts**:
- The first discount (A) is 20%.
- The second discount (B) is 15%.

2. **Use the Formula for Successive Discounts**:
The formula to calculate the total discount when two successive discounts are applied is:
\[ \text{Total Discount} = A + B - \frac{A \times B}{100} \]

3. **Substitute the Values**:
Substitute the values of A and B into the formula:
\[ \text{Total Discount} = 20 + 15 - \frac{20 \times 15}{100} \]

4. **Calculate the Product of A and B**:
Calculate \( A \times B \):
\[ A \times B = 20 \times 15 = 300 \]

5. **Divide by 100**:
Now, divide the product by 100:
\[ \frac{300}{100} = 3 \]

6. **Calculate the Total Discount**:
Substitute back into the total discount formula:
\[ \text{Total Discount} = 20 + 15 - 3 = 32 \]

7. **Final Result**:
Therefore, the total discount a coupon holder will get is:
\[ \text{Total Discount} = 32\% \]

### Conclusion:
The total discount that a coupon holder will receive is **32%**.