P is 5 times as large as Q, the percent that Q is less than P is ____________?
Correct answer: C. 80%
- A. 60%
- B. 90%
- C. 80%
- D. None of TheseNTS Test Prep
Explanation
Let Q = x, so P = 5x. The amount by which Q is less than P is 5x - x = 4x, and as a percentage of P it is (4x/5x) x 100 = 80%. Students often choose 60% by using the wrong reference quantity or by treating the difference as 3 times Q.
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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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