If the ratio of marked price and selling price is `11 : 10`, then what is the discount percentage?

Options

A. `11.11`
B. `17.28`
C. `12.5`
D. `9.09`

Answer

To find the discount percentage given the ratio of the marked price (MP) to the selling price (SP) as 11:10, we can follow these steps:

### Step-by-Step Solution:

1. **Define the Marked Price and Selling Price:**
- Let the marked price (MP) be \( 11x \).
- Let the selling price (SP) be \( 10x \).

2. **Calculate the Discount:**
- The discount (D) can be calculated as:
\[ D = MP - SP = 11x - 10x = x \]

3. **Calculate the Discount Percentage:**
- The discount percentage (DP) is given by the formula:
\[ DP = \left( \frac{D}{MP} \right) \times 100 \]
- Substituting the values we have:
\[ DP = \left( \frac{x}{11x} \right) \times 100 \]

4. **Simplify the Expression:**
- The \( x \) in the numerator and denominator cancels out:
\[ DP = \left( \frac{1}{11} \right) \times 100 \]
- This simplifies to:
\[ DP = \frac{100}{11} \approx 9.09\% \]

5. **Conclusion:**
- Therefore, the discount percentage is approximately \( 9.09\% \).