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P6 Percentage change

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backpack — percentage decrease

The price of a backpack falls from $400 to $300. Find the percentage decrease.

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25% decrease

One step of the worked solution to backpack — percentage decrease, drawn in pencil.
6 steps, drawn in pencil

The pattern behind it: Percentage change

Compare how much an amount changed with its original value.

In this one. The original price is the reference whole. Dividing by the reduced price would answer a different question.

Original is 100%before80after60; down 20 of 80 = 25%

How to spot it

A quantity falls or rises from one stated figure to another, and the question asks for the percentage change. Words like 'decrease' and 'original price' give it away.

Common mistake

Children divide the drop by the new, lower price instead of the original price, which inflates the percentage they report.

Try one like it

Standard jacket — percentage decrease The price of a jacket falls from $240 to $192. Find the percentage decrease.
More about Percentage change →

The 33 problem patterns

All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.

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