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Percentages · Question 48 of 72

Question 48

MediumOriginal question

The price of petrol rises by 20%, and a family reduces its petrol consumption by 10%. By what percentage does the family's spending on petrol rise?

Options for question 48

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Spending = price × consumption, so it becomes 1.2×0.9=1.081.2 \times 0.9 = 1.08 times.

  2. Spending rises by 8%. (Formula: 20−10+20×(−10)100=820 - 10 + \frac{20 \times (-10)}{100} = 8.)

Worth noting

Simply subtracting gives 10%; the cross term ab100\frac{ab}{100} is −2 here, not +2 (which would give 12%).

Concept
Net effect of a price rise and a consumption cut
Typical time
50 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.