Question

A shop sells a book for 240 rupees after giving a 20 % discount on the marked price. What is the marked price of the book?

• A. 280 rupees
• B. 300 rupees
• C. 320 rupees
• D. 360 rupees

Hint:

For discount problems, use the formula \( \text{Selling Price} = \text{Marked Price} \times (1 - \frac{\text{Discount\%}}{100}) \) and solve for the marked price.

Answer 1

The Correct Option is B

To determine the book's marked price, given its selling price after a discount, we will employ a specific calculation method.

1. Key Definitions:

- Marked Price (MP): The initial price listed before any reductions.
- Discount: The amount or percentage subtracted from the marked price.
- Selling Price (SP): The final price paid by the customer after the discount is applied.
- The formula connecting these is: \[ \text{SP} = \text{MP} \times (1 - \frac{\text{Discount \%}}{100}) \]

2. Provided Information:

- The selling price (SP) is Rs 240.
- The discount offered is 20%.

3. Calculation of Marked Price (MP):

Using the provided values and the formula: \[ 240 = \text{MP} \times (1 - 0.20) = \text{MP} \times 0.80 \] To find the marked price: \[ \text{MP} = \frac{240}{0.80} = 300 \]

Conclusion:

The marked price of the book is calculated to be Rs 300.