At the end of 2017
The value of Tamara's house was £220000
The value of Rahim's house was £160000
At the end of 2019:
The value of Tamara's house had decreased by 20%
The value of Rahim's house had increased by 30%
At the end of 2019, whose house had the greater value?
You must show how you get your answer. - Edexcel - GCSE Maths - Question 5 - 2021 - Paper 1
Question 5
At the end of 2017
The value of Tamara's house was £220000
The value of Rahim's house was £160000
At the end of 2019:
The value of Tamara's house had decreased by 2... show full transcript
Worked Solution & Example Answer:At the end of 2017
The value of Tamara's house was £220000
The value of Rahim's house was £160000
At the end of 2019:
The value of Tamara's house had decreased by 20%
The value of Rahim's house had increased by 30%
At the end of 2019, whose house had the greater value?
You must show how you get your answer. - Edexcel - GCSE Maths - Question 5 - 2021 - Paper 1
Step 1
The value of Tamara's house at the end of 2019
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Answer
To calculate the value of Tamara's house after a 20% decrease:
Calculate 20% of £220000:
20
Subtract this amount from the original value:
220000−44000=176000
Therefore, the value of Tamara's house at the end of 2019 is £176000.
Step 2
The value of Rahim's house at the end of 2019
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Answer
To calculate the value of Rahim's house after a 30% increase:
Calculate 30% of £160000:
30
Add this amount to the original value:
160000+48000=208000
Therefore, the value of Rahim's house at the end of 2019 is £208000.
Step 3
Comparison of house values at the end of 2019
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Answer
At the end of 2019:
Tamara's house value: £176000
Rahim's house value: £208000
Comparing the two values, £208000 (Rahim's house) is greater than £176000 (Tamara's house).
Thus, Rahim's house had the greater value at the end of 2019.