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Jules buys a washing machine - Edexcel - GCSE Maths - Question 9 - 2017 - Paper 1

Question 9

Jules buys a washing machine. 20% VAT is added to the price of the washing machine. Jules then has to pay a total of £600 What is the price of the washing machine wi... show full transcript

Worked Solution & Example Answer:Jules buys a washing machine - Edexcel - GCSE Maths - Question 9 - 2017 - Paper 1

Step 1

Identify the total amount paid

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Answer

Jules paid a total of £600 for the washing machine, which includes a 20% VAT.

Step 2

Recognize the relationship between the price before VAT and the total price

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Answer

Let the price of the washing machine before VAT be denoted as P. The total price including VAT can be expressed as:

$ext{Total Price} = P + (0.20 imes P) = 1.20P$

Step 3

Set up the equation

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Answer

Given that the total price is £600, we can set up the equation:

$1.20P = 600$

Step 4

Solve for P

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Answer

To find P, divide both sides of the equation by 1.20:

$P = \frac{600}{1.20} = 500$

Step 5

Conclude with the price

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Answer

Thus, the price of the washing machine with no VAT added is £500.

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