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

Let the marked price be \( M \) rupees. A 20 % discount means the selling price is 80 % of the marked price: \[ \text{Selling Price} = M \times (1 - 0.20) = 0.8M \] Given the selling price is 240 rupees: \[ 0.8M = 240 \implies M = \frac{240}{0.8} = 240 \times \frac{10}{8} = 300 \] Verify: \[ 20\% \text{ of } 300 = 0.2 \times 300 = 60 \] \[ \text{Selling Price} = 300 - 60 = 240 \] Thus, the marked price is: \[ \boxed{300} \]