85% of a number is added to 24, the result is the same number. Find the number?
Correct answer: D. 160
- A. 150
- B. 140
- C. 130
- D. 160
Explanation
Let the number be n. Since 85% of n plus 24 equals n, 0.85n + 24 = n, so 0.15n = 24 and n = 24 ÷ 0.15 = 160. The likely trap is option a, 150, caused by subtracting 85 from 100 incorrectly or estimating instead of solving the equation.
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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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