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

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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 w... show full transcript

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

Step 1

Recognize the VAT Calculation

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Answer

To find the price of the washing machine without VAT, we first note that the total amount of £600 includes 20% VAT. This means that £600 represents 120% of the original price. We can express this mathematically as:

extTotalPrice=extPricewithoutVAT+extVAT ext{Total Price} = ext{Price without VAT} + ext{VAT}

So,

extTotalPrice=extPrice+0.2imesextPrice=1.2imesextPrice ext{Total Price} = ext{Price} + 0.2 imes ext{Price} = 1.2 imes ext{Price}

Thus, if we let the price of the washing machine be represented as PP, we can set up the equation:

1.2P=6001.2 P = 600

Step 2

Calculate the Price without VAT

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Answer

To find the price without VAT, we can rearrange the equation:

P=6001.2P = \frac{600}{1.2}

Calculating this gives:

P=500P = 500

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

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