16.66% of 33.33% of 66.66% of ? = 30
Correct answer: C. 810
- A. 90
- B. 270
- C. 810
- D. 240
Explanation
The intended values are 16.66% = 1/6, 33.33% = 1/3, and 66.66% = 2/3. Their product is 1/6 x 1/3 x 2/3 = 1/27, so ? ÷ 27 = 30 and ? = 30 x 27 = 810, option c. Option b, 270, results from using only one factor of 9 instead of the full product denominator 27.
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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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