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

Correct answer: A. 10 %

  • A. 10 %
  • B. 15 %
  • C. 20 %
  • D. 25 %

Explanation

Taking the third number as q, the first number is 70% of q and the second is 63% of q. The second is therefore 7% of q less than the first, and as a percentage of the first this is (0.70q − 0.63q)/(0.70q) × 100 = 10%. Students may choose 7% because they measure the difference against q rather than against 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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