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If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction.

Correct answer: A. 1/12

  • A. 1/12
  • B. 1/8
  • C. 1/6
  • D. 1/4

Explanation

Let the original fraction be n/d. After the changes, its value is (1.20n)/(0.75d) = 2/15, so n/d = (2/15) x (0.75/1.20) = (2/15) x (5/8) = 1/12. The likely mistake is reversing the effect of the 25% decrease in the denominator and choosing 1/8.

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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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