Lemmara logoLemmaraWorked solution

4MA1/2H Jun 2021, Question 11: Reverse Percentages

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 6 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Chengbo's selling price of 180000 yuan is 24% above his purchase price; Zhi's 120000 yuan house grows 1.8% yearly from 1 January 2017. Find two house values, each to 3 significant figures.

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

Part (a) · 3 marks

Find the price Chengbo originally paid, given the 180000 yuan sale is 24% higher, rounded to 3 significant figures.

  1. 1Selling price = 124% of the price paid (100% + 24%).
  2. 2Price paid = 180 000 ÷ 1.24 = 145 161.29...
  3. 3To 3 significant figures: 145 000

Answer145 000

Part (b) · 3 marks

Find the house's worth on 1 January 2020 after yearly growth of 1.8% from 120000 yuan, rounded to 3 significant figures.

  1. 1Each year the value is multiplied by 1.018 (100% + 1.8%).
  2. 22017 to 2020 is 3 years: 120 000 × 1.018³ = 126 597.3...
  3. 3To 3 significant figures: 127 000

Answer127 000

Stuck on a step? Read the free lesson: Reverse Percentages

Practise more reverse percentages questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on reverse percentages

Also searched as: 4MA1 2H June 2021 · 4MA1/2H · 4ma1 jun21 2h · question 11.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.