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Question P6 Working backwards

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Jacket — sold at a profit

A jacket was sold at a 20% profit for $168. What was the cost price?

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About this method

Working backwards

You know how it ended. Undo each step, last one first.

In this one. The profit is a percentage of the cost price, so the selling price is 120% of the cost — $168 is the 120%, not the 100%.

What you are toldonly the endleft$12Undo the spendingput the $18 backbefore12 + 18 = 30Undo the givinghalf had gone to Helenat first30 doubled = 60

Also uses: Units and parts

How to spot it

The question gives the final amount after a sequence of changes and asks what the amount was 'at first' or 'to begin with'.

Common mistake

Children undo the steps in the same order they happened rather than in reverse, or forget that a percentage profit is added to the cost price, so the final price is 120% of it, not 100%.

Practise a similar question

Standard An antique dealer sold a vase at a 12% profit for $448. What was the cost price of the vase?
All 6 with this pattern →
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