AQA · Mathematics · 8300
GCSE Maths: Money: Discounts
Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Money: Discounts (Corbettmaths Video 400), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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What multiplier finds a price after 10% off?
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0.9 — because 100% − 10% = 90% of the original price remains.
A football costs £12. What is its sale price with 1/4 off?
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£9 — 1/4 of £12 is £3, and £12 − £3 = £9.
A £30 meal has a 10% off voucher. What is paid?
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£27 — 10% of £30 is £3, so £30 − £3 = £27.
A £150 bill is reduced by 4%. How much is saved?
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£6 — 1% of £150 is £1.50, so 4% is £6.
To take a fraction off a price, multiply the price by ?.
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1 minus the fraction
A £90 coat and £24 trousers with 1/3 off all clothes — total paid?
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£76 — the total is £114; 1/3 off leaves 2/3, and 2/3 × £114 = £76.
What is the price of a 20p pencil after 40% off?
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12p — 60% of 20p remains, and 0.6 × 20p = 12p.
With £119 left, how many 12p pencils can be bought?
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991 — £119 ÷ £0.12 = 991.67, so round down to 991 whole pencils.
Why must a 'how many can you buy' answer be rounded down?
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Because you cannot buy part of an item; rounding up would cost more than the money available.
What multiplier finds a price after a 35% reduction?
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0.65 — because 100% − 35% = 65% of the original price remains.
What multiplier adds a 4% credit-card charge to a price?
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1.04 — because 100% + 4% = 104% of the price is paid.
Tickets total £220, reduced by 35%, then 4% added. Final amount?
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£148.72 — £220 × 0.65 = £143, then £143 × 1.04 = £148.72.
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