Question

Shikha sells an article for ₹253, after giving 12% discount on its marked price. Had she not given any discount, she would have earned a profit of 25% on the cost price. What is the cost price of the article?

• A. ₹220
• B. ₹225
• C. ₹230
• D. ₹235

Hint:

When solving such problems, use the formula for percentage profit and loss: \[ \text{Profit} = \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \times 100 \]

Answer 1

The Correct Option is A

Let the cost price be \( x \). - Selling price after discount = ₹253 - Discount = 12% of the marked price, so the marked price = \( \frac{253}{(1 - 0.12)} = ₹287.5 \). - Profit is 25% on the cost price, so \( \frac{25}{100} \times x = ₹287.5 - x \). - Solving for \( x \), we find \( x = ₹220 \). Thus, the cost price is ₹220.