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Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first?

Correct answer: C. 10%

  • A. 15%
  • B. 12%
  • C. 10%
  • D. 5%

Explanation

Let the third number be 100 units. The first number is 70 units and the second is 63 units, so the second is 7 units less than the first. Relative to the first, the decrease is 7/70 x 100% = 10%. The likely mistake is 7%, which compares the difference with the third number rather than with the first 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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