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4MA1/1FR Jun 2018, Question 27: Percentage Increases and Decreases

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 7 marks

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The question, in short

Compare car production between 2016 and 2017, then use the 2017 income being $500000 and 8% higher than 2016 to find the 2016 income.

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Part (a) · 4 marks

Calculate total cars made in 2017 from 25 monthly for 6 months and 45 monthly for 6 months, then find percentage increase from 350.

  1. 12017 total = 6 × 25 + 6 × 45 = 150 + 270 = 420
  2. 2Increase = 420 − 350 = 70
  3. 3Percentage increase = 70 ÷ 350 × 100 = 20

Answer20

Part (b) · 3 marks

Given 2017 income exceeds 2016 by $500000 and by 8%, work out the 2016 income.

  1. 1The extra $500 000 is 8% of the 2016 income.
  2. 21% = 500 000 ÷ 8 = 62 500
  3. 3100% = 62 500 × 100 = 6 250 000

Answer6 250 000

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