p is six times as large as q. The percent that q is less than p is:________?
Correct answer: A. 83 1/3
- A. 83 1/3
- B. 16 2/3
- C. 90
- D. 60Fun & Trivia
Explanation
If p = 6q, then q = p/6. The amount by which q is less than p is p − p/6 = 5p/6, and as a percentage of p this is (5p/6) ÷ p × 100 = 83 1/3%. Students may choose 16 2/3% because that is the percentage q represents of p, not the percentage by which q is less than p.
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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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