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PercentageMCQ · 2 marks

A gym had 560 members in January. By March, the number of members had fallen to 448. By what percentage did the number of members decrease from January to March?

  1. 20%
  2. 25%
  3. 80%
  4. 112%
Need a hint?

The percentage decrease is always a fraction of the ORIGINAL number (January), not the new number.

Worked answer

  1. Decrease in members = 560 − 448 = 112
  2. Percentage decrease = 112 ÷ 560 × 100%
  3. 112 ÷ 560 = 0.2, so 0.2 × 100% = 20%
Answer: 20%

The mistake this question tests

Habit

Found the increase, not the new price

Dividing the decrease by the March figure (448) gives 25%, which uses the new total as the base.

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