The sum of 15% of a positive number and 20% of the same number is 126.What is…

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The sum of 15% of a positive number and 20% of the same number is 126.What is one-third of that number?

  1. A.

    360

  2. B.

    1080

  3. C.

    120

  4. D.

    40

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Correct answer: C

Solution

  1. Let the number be x.

  2. 15% of x plus 20% of x equals 126, so (15/100 + 20/100) x = (35/100) x = 126.

  3. Solve for x: x = 126 × (100/35) = 12600/35 = 360.

  4. One-third of x is x/3 = 360/3 = 120.

Answer: 120

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