If a % is the discount per cent on a marked price x, then discount is

Options

A. `(x)/(a)xx100`
B. `(a)/(x)xx100`
C. `x xx(a)/(100)`
D. `(100)/(x xxa)`

Answer

To solve the problem, we need to find the expression for the discount when a percentage \( A\% \) is given on a marked price \( x \).

### Step-by-Step Solution:

1. **Understanding the Terms**:
- **Marked Price (x)**: This is the original price before any discounts are applied.
- **Discount Percent (A%)**: This is the percentage of the marked price that will be deducted as a discount.

2. **Formula for Discount**:
- The formula for calculating the discount based on the discount percent is given by:
\[ \text{Discount} = \left( \frac{\text{Discount Percent}}{100} \right) \times \text{Marked Price} \]

3. **Substituting Values**:
- Here, the discount percent is \( A\% \) and the marked price is \( x \).
- Therefore, we can substitute these values into the formula:
\[ \text{Discount} = \left( \frac{A}{100} \right) \times x \]

4. **Final Expression**:
- Thus, the discount can be expressed as:
\[ \text{Discount} = \frac{A}{100} \times x \]

### Conclusion:
The discount on a marked price \( x \) when the discount percent is \( A\% \) is given by:
\[ \text{Discount} = \frac{A}{100} \times x \]