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A jacket has its price reduced by 20% in a sale - OCR - GCSE Maths - Question 12 - 2020 - Paper 1

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Question 12

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A jacket has its price reduced by 20% in a sale. The sale price is £56. Work out the price of the jacket before the sale.

Worked Solution & Example Answer:A jacket has its price reduced by 20% in a sale - OCR - GCSE Maths - Question 12 - 2020 - Paper 1

Step 1

Calculate the price before the sale

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Answer

Let the original price of the jacket be denoted as xx.

Since the jacket is reduced by 20%, the sale price represents 80% of the original price. Thus, we can express this as:

0.8x=560.8x = 56

To find xx, we divide both sides of the equation by 0.8:

x=560.8x = \frac{56}{0.8}

Calculating this gives:

x=70x = 70

Therefore, the price of the jacket before the sale is £70.

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