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When the numerator of a fraction is decreased by 25% and its denominator is decreased by 20%, the new fraction obtained is 3/4. Find the original fraction?

Correct answer: E. None of these

  • A. 5/4
  • B. 4/7
  • C. 5/6
  • D. 6/7
  • E. None of these

Explanation

Let the original fraction be n/d. After the changes, the fraction is (0.75n)/(0.80d) = 3/4. Hence n/d = (3/4) x (0.80/0.75) = 4/5. Since 4/5 is not among the listed fractions, option e is correct; the likely trap is 5/6, which does not reverse both percentage changes correctly.

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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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