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CAT 2020 Slot 2 · Quant · Percentages · easy

A's monthly salary is 30% more than B's, and B's monthly salary is 20% less than C's. If C earns ₹50,000 a month, by what percentage does A's salary…

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A's monthly salary is 30% more than B's, and B's monthly salary is 20% less than C's. If C earns ₹50,000 a month, by what percentage does A's salary exceed C's?
  1. A. 10%
  2. B. 4%
  3. C. 6%
  4. D. Neither — A earns less than C
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Answer: (B) 4%

B = 0.8 × 50,000 = ₹40,000. A = 1.3 × 40,000 = ₹52,000.

A exceeds C by 2,000/50,000 × 100 = 4%.

Shortcut: successive changes +30% and −20% combine to 30 − 20 − (30×20)/100 = 4%. A common trap is to answer 10% by simply subtracting 20 from 30.
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Original question written in the CAT 2020 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