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Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is_________?

Correct answer: C. 96%

  • A. 80%
  • B. 85%
  • C. 96%
  • D. 125%

Explanation

Let the third number be N. The first number is 120% of N = 1.20N, and the second is 125% of N = 1.25N. Therefore, the first as a percentage of the second is (1.20N / 1.25N) x 100% = 96%. The likely mistake is calculating the first number as 120% of the second instead of comparing both with the common third number.

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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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