Find the discount in percentage, if a book whose marked price is Rs 90 is sold for Rs 76.

Options

A. `14.65%`
B. `15.56%`
C. `13.45%`
D. `14.75%`

Answer

To find the discount percentage when a book with a marked price of Rs 90 is sold for Rs 76, we can follow these steps:

### Step 1: Identify the Marked Price (MP) and Selling Price (SP)
- Marked Price (MP) = Rs 90
- Selling Price (SP) = Rs 76

### Step 2: Calculate the Discount
The discount can be calculated using the formula:
\[ \text{Discount} = \text{MP} - \text{SP} \]
Substituting the values:
\[ \text{Discount} = 90 - 76 = Rs 14 \]

### Step 3: Calculate the Discount Percentage
The discount percentage can be calculated using the formula:
\[ \text{Discount Percentage} = \left( \frac{\text{Discount}}{\text{MP}} \right) \times 100 \]
Substituting the values:
\[ \text{Discount Percentage} = \left( \frac{14}{90} \right) \times 100 \]

### Step 4: Perform the Calculation
Calculating the fraction:
\[ \frac{14}{90} = 0.1556 \]
Now, multiplying by 100 to get the percentage:
\[ 0.1556 \times 100 = 15.56\% \]

### Final Answer
The discount percentage is **15.56%**.

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