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4MA1/2F Jun 2019, Question 16: Profit and Loss

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · 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 half at £5, 40% at £7 and the rest at £8.

  1. 1Cost = 120 × 4 = 480
  2. 21/2 of 120 = 60 books: 60 × 5 = 300
  3. 340% of 120 = 48 books: 48 × 7 = 336
  4. 4Rest = 120 − 60 − 48 = 12 books: 12 × 8 = 96
  5. 5Income = 300 + 336 + 96 = 732, profit = 732 − 480 = 252
  6. 6Percentage profit = 252 ÷ 480 × 100 = 52.5%

Answer52.5

Part (b) · 3 marks

A book is worth £15 on 1st May 2019 after rising 20% over the year; find its value on 1st May 2018.

  1. 1After a 20% increase, value = 120% of the original
  2. 2Multiplier = 1.2
  3. 3Original = 15 ÷ 1.2 = 12.50

Answer12.50

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