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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 ... 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 in 2019
Answer
To calculate the value of Tamara's house at the end of 2019, we first need to determine the decrease in value. Since her house decreased by 20%, we can find the decreased amount as follows:
Decreased Amount = 20% of £220000 = 0.20 × 220000 = £44000
Now, we subtract this amount from the original value:
Value in 2019 = £220000 - £44000 = £176000
Step 2
The value of Rahim's house in 2019
Answer
To determine the value of Rahim's house at the end of 2019, we need to calculate the increase in value. Since his house increased by 30%, we find the increased amount:
Increased Amount = 30% of £160000 = 0.30 × 160000 = £48000
We then add this amount to the original value:
Value in 2019 = £160000 + £48000 = £208000
Step 3
Comparison of house values in 2019
Answer
Now that we have both values:
- Tamara's house: £176000
- Rahim's house: £208000
To find out whose house had the greater value at the end of 2019, we compare:
Since £208000 (Rahim's house) is greater than £176000 (Tamara's house), Rahim's house had the greater value.