Reverse Percentages worksheet
10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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3 marks
In a sale, the price of every item in a shop is reduced by 40%.
The sale price of a dishwasher is £264.
Work out the normal price of the dishwasher.
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3 marks
A shop sells a suitcase for £810.
This price includes VAT at 20%.
(a)Calculate the price of the suitcase before VAT was added.
(b)Calculate the amount of VAT included in the £810.
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4 marks
During last year the number of members of Bramley Cycling Club increased by 25%.
The increase was 290 members.
(a)Work out how many members Bramley Cycling Club had at the start of last year.
(b)Work out how many members Bramley Cycling Club has now.
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3 marks
In a sale, the price of every item in a shop is reduced by 10%.
Grace sees a garden bench with a sale price of £162. She works out the normal price like this.
10% of £162 = £16.20
Normal price = £162 + £16.20 = £178.20
Grace is wrong.
(a)Explain the mistake Grace has made.
(b)Work out the correct normal price of the garden bench.
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4 marks
The price of a garden bench was increased by \(25\%\).
In a sale the new price was then reduced by \(40\%\).
The price after the sale reduction is \(£261\).
(a)Find the price of the garden bench before the increase.
(b)Find the price of the garden bench straight after the increase, before the sale.
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3 marks
In a sale, the price of every item in a shop is reduced by 30%.
The sale price of a coat is £308.
Work out the normal price of the coat.
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3 marks
A shop sells a washing machine for £912.
This price includes VAT at 20%.
(a)Find the price of the washing machine before VAT was added.
(b)Find the amount of VAT included in the £912.
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4 marks
During last year the number of members of Riverside Swimming Club increased by 30%.
The increase was 114 members.
(a)Calculate how many members Riverside Swimming Club had at the start of last year.
(b)Calculate how many members Riverside Swimming Club has now.
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3 marks
In a sale, the price of every item in a shop is reduced by 40%.
Marcus sees a kettle with a sale price of £96. He works out the normal price like this.
40% of £96 = £38.40
Normal price = £96 + £38.40 = £134.40
Marcus is wrong.
(a)Explain the mistake Marcus has made.
(b)Calculate the correct normal price of the kettle.
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4 marks
The price of a guitar was increased by \(50\%\).
In a sale the new price was then reduced by \(10\%\).
The price after the sale reduction is \(£81\).
(a)Find the price of the guitar before the increase.
(b)Find the price of the guitar straight after the increase, before the sale.
Answers
- \(\text{£}440\)
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(a) \(\text{£}675\)
(b) \(\text{£}135\) -
(a) \(1160\ \text{members}\)
(b) \(1450\ \text{members}\) -
(a) Grace has found 10% of the sale price, but the reduction was 10% of the normal price, which is a larger amount of money.
(b) \(\text{£}180\) -
(a) \(£348\)
(b) \(£435\) - \(\text{£}440\)
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(a) \(\text{£}760\)
(b) \(\text{£}152\) -
(a) \(380\ \text{members}\)
(b) \(494\ \text{members}\) -
(a) Marcus has found 40% of the sale price, but the reduction was 40% of the normal price, which is a larger amount of money.
(b) \(\text{£}160\) -
(a) \(£60\)
(b) \(£90\)