If y exceeds x by 20%, then x is less than y by_______?
Correct answer: C. 16 2/3 %
- A. 16%
- B. 16 1/3 %
- C. 16 2/3 %
- D. 16 3/5 %Standardized & Admissions Tests
Explanation
If y exceeds x by 20%, then y = 1.20x. The decrease from y to x is 0.20x, measured against y, so the percentage decrease is (0.20x ÷ 1.20x) × 100% = 16 2/3%. The likely mistake is option a, 16%, from using 20% without changing the reference quantity from x to y.
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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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