4MA1/2H Jan 2022, Question 8: Reverse Percentages
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 5 marks
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The question, in short
Using a table of average England house prices for 2017 to 2019, find a percentage increase from 2018 to 2019 and the 2017 price given a 7.7% rise to 2019.
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Part (a) · 2 marks
Calculate the percentage increase in average house price from 228314 in 2018 to 231776 in 2019, giving the answer to one decimal place.
- 1231776 − 228314 = 3462
- 23462 ÷ 228314 = 0.01516...
- 30.01516 × 100 = 1.516...
- 41.5
Answer1.5
Part (b) · 3 marks
Given the 2019 average price of 231776 is 7.7% greater than 2017, work out the 2017 price to 3 significant figures.
- 1100 + 7.7 = 107.7
- 2107.7 ÷ 100 = 1.077
- 3231776 ÷ 1.077 = 215205.19...
- 4215000
Answer215 000
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