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UPSC CSE 2024 · PYQ · Percentage Change · easy

A number is mistakenly divided by 4 instead of multiplying by 4. What is the percentage change in the result due to this mistake?

  1. A.25%
  2. B.50%
  3. C.72.75%
  4. D.93.75%✓ Correct

Explanation

Let the number be N. Correct result = 4N. Wrong result = N/4. Change = 4N − N/4 = (16N − N)/4 = 15N/4. Percentage change relative to correct value 4N = (15N/4)/(4N) × 100 = 15/16 × 100 = 93.75%.
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