A party's vote share in a city rose from 32% to 40%. Which statement describes this change correctly?

It rose by 8 percentage points, which is a 25% riseCorrect answerYour answerIt rose by 8 percentage points, which is a 20% riseCorrect answerYour answerIt rose by 8 percentage points, which is an 8% riseCorrect answerYour answerIt rose by 25 percentage points, which is an 8% riseCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Difference of the two shares = $40 - 32 = 8$ percentage points.
Percent rise = $\frac{8}{32} \times 100 = 25\%$ .

Worth noting

Percentage points are a plain subtraction of two percentages; percent change divides that gap by the old value. 20% uses the new share, 40, as the base.

Concept: Percentage points versus percent
Typical timeTypical: 40 s
Your timeYours: —

The rule this testsPercentage change

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Ten questions from Percentages, at your own pace.

A party's vote share in a city rose from 32% to 40%. Which statement describes this change correctly?

Explanation