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SSC CHSL 2024 · PYQ · Percentage · medium

Rakesh is the owner of a rectangular field. Because of the construction of an expressway near his field, the length and breadth of his field are reduced by 30% and 10%, respectively. What is the percentage decrease in the area of his field?

Answer

The correct answer is C: 37%. New area = (1 − 0.30)(1 − 0.10) × original area = 0.70 × 0.90 = 0.63 of original. Percentage decrease = (1 − 0.63) × 100 = 37%.

  1. A.35%
  2. B.40%
  3. C.37%✓ Correct
  4. D.33%

Explanation

New area = (1 − 0.30)(1 − 0.10) × original area = 0.70 × 0.90 = 0.63 of original. Percentage decrease = (1 − 0.63) × 100 = 37%.
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