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If the numerator of a fraction is increased by 250 % and the denominator is increased by 400 % the resultant fraction is 7/19. What is the original fraction?

Correct answer: A. 10/19

  • A. 10/19
  • B. 5/9
  • C. 9/5
  • D. 19/7Standardized & Admissions Tests

Explanation

Increasing the numerator by 250% makes it 3.5 times the original, and increasing the denominator by 400% makes it 5 times the original. Thus the new fraction is 3.5/5 = 0.7 times the original fraction, so the original is (7/19) ÷ 0.7 = 10/19. The likely mistake is choosing 7/19 itself by ignoring that both numerator and denominator were changed.

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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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