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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

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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-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.png

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:

  1. Calculate 20% of £220000:

    2020\\% = 0.20 imes 220000 = 44000

  2. Subtract this amount from the original value:

    22000044000=176000220000 - 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:

  1. Calculate 30% of £160000:

    3030\\% = 0.30 imes 160000 = 48000

  2. Add this amount to the original value:

    160000+48000=208000160000 + 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.

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