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*REVERSE PROPORTION*

*REVERSE PROPORTION*-example-1

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Answer:

33.3%

Explanation:

The selling price of £42 is (1 +40%) times the total purchase price.

1.40 × purchase price = £42

purchase price = £42/1.40 = £30

The total profit is 40% of this, so is ...

£30 × 40% = £12

The purchase price of the skirt is ...

total cost - glove cost = skirt cost = £30 -3 = £27

The profit on the skirt is ...

total profit - glove profit = skirt profit = £12 -100% × £3 = £9

Then the percentage profit on the skirt is ...

skirt profit % = skirt profit / skirt cost × 100% = £9/£27 × 100% = 33.3%

The percentage profit on the cost of the skirt was 33.3%.

User Madlan
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