Sales, discounts and shrinking cereal boxes — percentage decrease is the mirror of increase: find the percentage of the original, then take it away. This lesson pairs with P5 so the two never get muddled.
25% of £60: half is 30, half again is 15.
New price = original − decrease: 60 − 15 = 45.
A decrease means the answer must be LESS than the original.
A 240 g cereal box shrinks by 10%. What's the new weight?
Wrong! £15 is the discount. The sale price is 60 − 15 = £45.
Wrong! 25% of £60 is £15, not £25. Sale price: £45.
Wrong! ‘Reduced’ means smaller: 240 − 24 = 216 g.
Find that percentage of the original and subtract it. £60 reduced by 25%: 25% of £60 is £15, so the sale price is £45.
The price drops by a quarter of the original — you pay the remaining 75%. A £60 jacket at 25% off costs £45.
Two ways: the answer must be smaller than the original, and discount + sale price must add back to the original (£15 + £45 = £60).
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