Reverse Percentages
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Non-calculator 2 marks
The price of a sofa increases by 50%.
This 50% increase adds £211 to the price of the sofa.
Work out the price of the sofa before the increase.
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Non-calculator 2 marks
In a sale, the normal price of a wardrobe is reduced by 62.5%.
The sale price is £243.
Work out the normal price.
You must not use a calculator.
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Either paper 3 marks
In a sale, the price of every item in a shop is reduced by 25%.
The sale price of a garden bench is £75.
Work out the normal price of the garden bench.
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Either paper 3 marks
A shop sells a bookshelf for £294.
This price includes VAT at 20%.
(a)Work out the price of the bookshelf before VAT was added.
(b)Work out the amount of VAT included in the £294.
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Either paper 4 marks
During last year the number of members of Westgate Chess Club increased by 25%.
The increase was 130 members.
(a)Work out how many members Westgate Chess Club had at the start of last year.
(b)Work out how many members Westgate Chess Club has now.
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Either paper 3 marks
In a sale, the price of every item in a shop is reduced by 25%.
Zainab sees a laptop with a sale price of £225. She works out the normal price like this.
25% of £225 = £56.25
Normal price = £225 + £56.25 = £281.25
Zainab is wrong.
(a)Explain the mistake Zainab has made.
(b)Work out the correct normal price of the laptop.
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Either paper 3 marks
A shop reduces the price of everything it sells by 10%.
Erin chooses a sound bar. She pays the reduced price, and uses a £25 gift voucher towards it, so she hands over £425.
Work out the price of the sound bar before the shop reduced it.
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Either paper 3 marks
The number of books borrowed from a village library this year was 160% of the number last year.
This year 3104 books were borrowed.
(a)Work out how many books were borrowed last year.
(b)Write down the percentage increase from last year to this year.
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Either paper 3 marks
A shop has taken 25% off the price of all its garden chairs.
Leila buys 8 identical garden chairs and pays £186.00 altogether.
Work out what one garden chair cost before the shop took the 25% off.
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Either paper 3 marks
A shop has a sale. Every price in the shop is reduced by 30%.
A log burner costs £492.10 in the sale.
Before the sale started, Yusuf had £692 set aside for it.
(a)Work out the price of the log burner before the sale.
(b)Could Yusuf have bought the log burner at the price it was before the sale?
Give a reason for your answer.
- \(\text{£}422\)
- \(\text{£}648\)
- \(\text{£}100\)
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(a) \(\text{£}245\)
(b) \(\text{£}49\) -
(a) \(520\ \text{members}\)
(b) \(650\ \text{members}\) -
(a) Zainab has found 25% of the sale price, but the reduction was 25% of the normal price, which is a larger amount of money.
(b) \(\text{£}300\) - \(\text{£}500\)
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(a) \(1940\)
(b) \(60\%\) - \(\text{£}31\)
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(a) \(\text{£}703\)
(b) No — £692 is £11 less than the £703 it cost before the sale
Takes a couple of seconds the first time a sheet is made.