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CAT 2024 Slot 2 · Quant · Profit, Loss and Discount · medium

A trader buys an article for ₹1,200 and marks it 40% above the cost price. He then offers a discount of 15% on the marked price.

Single correct option

A trader buys an article for ₹1,200 and marks it 40% above the cost price. He then offers a discount of 15% on the marked price. What is his profit percentage?
  1. A. 16%
  2. B. 17.5%
  3. C. 19%
  4. D. 21%
Show answer and solution

Answer: (C) 19%

Marked price = 1200 × 1.40 = ₹1,680. Selling price after 15% discount = 1680 × 0.85 = ₹1,428. Profit = 1428 − 1200 = ₹228. Profit% = 228/1200 × 100 = 19%. Shortcut: net multiplier = 1.4 × 0.85 = 1.19, i.e., 19% profit directly.
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Original question written in the CAT 2024 Slot 2 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake