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CAT 2025 Slot 2 · Quant · Percentages · easy

A shopkeeper marks an item at ₹2,400 and offers two successive discounts of 20% and 15%. What is the final selling price?

Single correct option

A shopkeeper marks an item at ₹2,400 and offers two successive discounts of 20% and 15%. What is the final selling price?
  1. A. ₹1,536
  2. B. ₹1,584
  3. C. ₹1,632
  4. D. ₹1,680
Show answer and solution

Answer: (C) ₹1,632

After the first discount of 20%: 2400 × 0.80 = ₹1,920. After the second discount of 15%: 1920 × 0.85 = ₹1,632. Shortcut: combine successive discounts as 100 − (20+15 − 20×15/100) = 32% off, so SP = 2400 × 0.68 = ₹1,632.
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Original question written in the CAT 2025 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