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4MA1/1H Jun 2022, Question 13: Reverse Percentages

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks

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The question, in short

Antoine pays for a holiday in 3 payments: 3/8 of the total, 45% of the total, and $406. Work out the amount of Payment 2.

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Solution · 5 marks

  1. 13/8 + 45% = 3/8 + 9/20
  2. 2Convert to common denominator: 15/40 + 18/40 = 33/40
  3. 3So payments 1 and 2 together are 33/40 of the total cost
  4. 4Therefore payment 3 is 1 − 33/40 = 7/40 of the total cost
  5. 5Payment 3 is $406, so 7/40 of total cost = 406
  6. 6Total cost = 406 ÷ (7/40) = 406 × (40/7) = 2320
  7. 7Payment 2 is 45% of total cost = 0.45 × 2320
  8. 80.45 × 2320 = 1044

Answer1044

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