60% of a number is added to 120, the result is the same number. Find the number?
Correct answer: A. 300
- A. 300
- B. 200
- C. 400
- D. 500
Explanation
Let the number be n. The equation is 0.60n + 120 = n, so 0.40n = 120 and n = 120 ÷ 0.40 = 300. The likely mistake is choosing option b, 200, by treating 60% as the remaining 40% or by reversing the percentage relationship.
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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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