Everyday Maths 2
◄Previous: 5.1 Calculating a percentage of an amount

5.2 Percentage change

Watch the video below on how to calculate percentage change, then complete Activity 10.

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Activity 10: Percentage change formula

Practise using the percentage change formula which you learned about in the video above on the three questions below. Where rounding is required, give your answer to two decimal places.

  1. Last year, your season ticket for the train cost £1300. This year the cost has risen to £1450. What is the percentage increase?

Answer

  1. Difference: £1450 − £1300 = £150

    1. Original: £1300

    2. Percentage change = £150 ÷ £1300 × 100 = 11.54% increase (rounded to two d.p.)

  1. You bought your house 10 years ago for £155,000. You are able to sell your house for £180,000. What is the percentage increase the house has made?

Answer

  1. Difference: £180,000 − £155,000 = £25,000

    1. Original: £155,000

    2. Percentage change = £25,000 ÷ £155,000 × 100 = 16.13% increase (rounded to two d.p.)

  1. You purchased your car 3 years ago for £4200. You sell it to a buyer for £3600. What is the percentage decrease of the car?

Answer

  1. Difference: £4200 − £3600 = £600

    1. Original: £4200

    2. Percentage change = £600 ÷ £4200 × 100 = 14.29% decrease (rounded to two d.p.)

◄Contents►Next: 5.3 Reverse percentages

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