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Percentages · Question 53 of 72

Question 53

MediumOriginal question

A newspaper's number of subscribers fell by 20% in the first year, rose by 25% in the second year and rose by 10% in the third year. What was the overall percentage increase over the three years?

Options for question 53

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Overall multiplier = 0.8×1.25×1.10.8 \times 1.25 \times 1.1.

  2. 0.8×1.25=10.8 \times 1.25 = 1, so the multiplier is 1.1.

  3. Overall increase = 10%.

Worth noting

Adding the three rates (−20+25+10)(-20 + 25 + 10) gives 15%, which ignores that each change acts on a different base.

Concept
Net effect of three successive changes
Typical time
60 s
Your time
—
The rule this testsSuccessive percentage change
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Ten questions from Percentages, at your own pace.

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Ten questions from Percentages, at your own pace.

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