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Percentages · Question 40 of 72

Question 40

EasyOriginal question

A town's bus fare rises by 10% in January and by another 10% in July. By what percentage has the fare risen over the whole year?

Options for question 40

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Successive change formula: a+b+ab100a + b + \frac{ab}{100}.

  2. 10+10+10×10100=21%10 + 10 + \frac{10 \times 10}{100} = 21\%.

Worth noting

The second 10% is taken on the already-raised fare, so the rises do not simply add to 20%. 121% is the final fare as a percentage of the original.

Concept
Net effect of two successive increases
Typical time
35 s
Your time
—
The rule this testsSuccessive percentage change
Practise this chapter →

Ten questions from Percentages, at your own pace.

Practise this chapter →

Ten questions from Percentages, at your own pace.