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CAT 2023 Slot 1 · Quant · Profit, Loss and Discount · easy

A shopkeeper marks an article 40% above its cost price and then offers a discount of 15% on the marked price.

Single correct option

A shopkeeper marks an article 40% above its cost price and then offers a discount of 15% on the marked price. Find his profit percentage.
  1. A. 17%
  2. B. 19%
  3. C. 21%
  4. D. 23%
Show answer and solution

Answer: (B) 19%

Let CP = 100. Marked price = 100 × 1.40 = 140. Selling price after 15% discount = 140 × 0.85 = 119. Profit = SP − CP = 119 − 100 = 19, so profit% = 19%. Shortcut: net multiplier = 1.40 × 0.85 = 1.19, i.e., a flat 19% profit — no need to track absolute rupee values.
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Original question written in the CAT 2023 Slot 1 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake