Question

Cost price of an article for a shopkeeper is Rs. 3000. Shopkeeper marked it for Rs. 4000. He allows some discount on the marked price and still gains 20%. The percentage of discount given to the customer, is:

• A. 8%
• B. 9%
• C. 10%
• D. 12%

Hint:

When calculating discounts, remember that the selling price is the marked price minus the discount, and the gain is based on the cost price.

Answer 1

The Correct Option is C

Let the discount given to the customer be \( x % \). The selling price of the article after discount is: \[ \text{Selling Price} = 4000 \times \left( 1 - \frac{x}{100} \right) \] The shopkeeper gains 20% on the cost price, so the selling price is also: \[ \text{Selling Price} = 3000 \times 1.20 = 3600 \] Equating the two expressions for selling price: \[ 4000 \times \left( 1 - \frac{x}{100} \right) = 3600 \] Solving for \( x \): \[ 4000 - 40x = 3600 \quad \Rightarrow \quad 40x = 400 \quad \Rightarrow \quad x = 10 \] So, the percentage of discount given is \( 10% \).