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4MA1/1F Jun 2022, Question 21: Reverse Percentages

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 6 marks

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The question, in short

Use the band table to compare Asha's apartment charge band across two years, and find the total percentage depreciation of Pam's boat over two years.

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

Part (a) · 3 marks

Find the 2020 value from 634 400 euros after a 4% rise, then compare the service charge bands for both years.

  1. 1634 400 ÷ 1.04 = 610 000
  2. 2610 000 is in band B
  3. 3634 400 was in band B
  4. 4No

AnswerNo and 610 000

Part (b) · 3 marks

Calculate the overall percentage decrease in the boat's value after two successive 15% depreciations.

  1. 1100% − 15% = 85%
  2. 20.85 × 0.85 = 0.7225
  3. 31 − 0.7225 = 0.2775
  4. 40.2775 × 100 = 27.75

Answer27.75

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