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4MA1/2H Jun 2019, Question 5: Profit and Loss

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 8 marks

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The question, in short

Josh buys 120 books at £4 each and sells them in three groups at £5, £7 and £8; find his percentage profit, and work back from a £15 value after a 20% rise.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 5 marks

Calculate Josh's percentage profit from buying 120 books at £4 each and selling halves and percentages at £5, £7 and £8.

  1. 1Cost = 120 × 4 = 480
  2. 260 books × 5 = 300 and 48 books × 7 = 336
  3. 3Rest = 120 − 60 − 48 = 12 books: 12 × 8 = 96
  4. 4Income = 300 + 336 + 96 = 732, profit = 732 − 480 = 252
  5. 5Percentage profit = 252 ÷ 480 × 100 = 52.5

Answer52.5

Part (b) · 3 marks

Given a book worth £15 on 1st May 2019 after a 20% increase over the year, find its value on 1st May 2018.

  1. 1100% + 20% = 120%
  2. 2120% corresponds to £15
  3. 315 ÷ 1.2 = 12.5
  4. 412.5 = £12.50

Answer£12.50

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