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 solve the problem, we need to find the marked price of the book given the selling price after a discount.

1. Understanding the Concepts:

- Marked Price (MP): The original price before discount.
- Discount: Reduction given on the marked price.
- Selling Price (SP): Price after discount.
- Relationship: \[ \text{SP} = \text{MP} \times (1 - \frac{\text{Discount \%}}{100}) \]

2. Given Values:

- Selling price (SP) = Rs 240
- Discount = 20%

3. Calculate Marked Price (MP):

\[ 240 = \text{MP} \times (1 - 0.20) = \text{MP} \times 0.80 \] \[ \text{MP} = \frac{240}{0.80} = 300 \]

Final Answer:

The marked price of the book is Rs 300.