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A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?

Correct answer: D. 200

  • A. 160
  • B. 180
  • C. 225
  • D. 200

Explanation

Let the original number be x. The correct answer is x - 25% of x = 0.75x, while the mistaken answer is x - 25; since it is 25 more, x - 25 = 0.75x + 25, giving 0.25x = 50 and x = 200. The likely trap is 160, which comes from treating the 25% subtraction as a fixed amount without using the 25-mark difference.

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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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