If y exceeds x by 25%, then x is less than y by__________?
Correct answer: C. 20%
- A. 16%
- B. 16 1/3 %
- C. 20%
- D. 16 3/5 %
Explanation
Let x = 100 units; then y exceeds x by 25%, so y = 125 units. The decrease from y to x is 25 units, and as a percentage of y it is 25/125 x 100% = 20%. The likely mistake is choosing 25%, which uses x as the base instead of 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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