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The income of a broker remains uncharged though the rate of commission is increased from 4 % to 5 % the percentage of a slump in business is_______?

Correct answer: C. 20 %

  • A. 8 %
  • B. 1 %
  • C. 20 %
  • D. 80 %

Explanation

For unchanged income, old commission equals new commission: 4% of old business = 5% of new business. Thus new business is 4/5 of the old business, so the slump is 1/5 x 100 = 20%. The likely mistake is option a, 8%, which considers only the 1 percentage-point commission change and not the proportional fall in business.

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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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