Question

A shopkeeper marks an article at such a price that after giving a discount of \(12\frac{1}{2}%\) on the marked price, he still earns a profit of 15%. If the cost price of the article is ₹385, then the marked price (in ₹) of the article will be:

• A. 484
• B. 506
• C. 510
• D. 520

Hint:

In such problems, first calculate the actual selling price using the profit percentage and then find the marked price by considering the discount.

Answer 1

The Correct Option is A

Let the marked price be \( M \). The shopkeeper sells the article at \( M - 12.5% \) of \( M \).
After giving the discount, the selling price will be \( 0.875M \).
Since the shopkeeper earns a profit of 15%, the selling price will also be \( 1.15 \times 385 \).
So, we set up the equation: \[ 0.875M = 1.15 \times 385 \] Solving this gives \( M = 484 \).
Thus, the correct answer is 484.