If the numerator of a fraction is increased by 140 % and the denominator is increased by 150 % the resultant fraction is 4/15 what is the original fraction?
Correct answer: D. None of these
- A. 3/5
- B. 5/16
- C. 2/9
- D. None of these
Explanation
Increasing the numerator by 140% multiplies it by 2.4, while increasing the denominator by 150% multiplies it by 2.5. Thus the original fraction is (4/15) × (2.5/2.4) = (4/15) × (25/24) = 5/18, which is not among the listed fractions. A student may choose a, 3/5, by reversing the percentage multipliers or treating the increases as additive changes to the fraction itself.
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About Percentages
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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