4MA1/2HR Jan 2021, Question 14: Percentage Increases and Decreases
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks
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The question, in short
A house loses 15% in 2018, then rises by the same percentage in both 2019 and 2020, ending 2.85% above its 2018 starting value. Find the yearly percentage increase.
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Solution · 4 marks
- 1A 15% fall multiplies by 0.85; let each yearly rise multiply by x
- 20.85 × x² = 1.0285, so x² = 1.0285 ÷ 0.85 = 1.21
- 3x = √1.21 = 1.1
- 4A multiplier of 1.1 is a percentage increase of 10
Answer10
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