To find the income, we multiply the price by the number sold, or we could write this as $p \times n = p n$

In April, the price was $\frac{1}{5}$ more than March, which means the price is $\frac{6}{5}$ of what it was in March, so we can write

$p_{A p r i l} = \frac{6}{5} \times p_{M a r c h}$

In April, the number sold was $\frac{1}{4}$ less than March, which means the number sold is $\frac{3}{4}$ of what it was in March, so we write

$n_{A p r i l} = \frac{3}{4} \times n_{M a r c h}$

$\frac{6}{5}$ or $\frac{3}{4}$ [1]

The income in April can be found using $p_{A p r i l} \times n_{A p r i l}$

$(\frac{6}{5} \times p_{M a r c h}) \times (\frac{3}{4} \times n_{M a r c h})$

Multiplying the two fractions and simplifying

$(\frac{6}{5} \times \frac{3}{4}) \times (p_{M a r c h} \times n_{M a r c h}) = \frac{18}{20} \times p_{M a r c h} \times n_{M a r c h} = \frac{9}{10} \times p_{M a r c h} \times n_{M a r c h}$

So the income in April is $\frac{9}{10}$ of the income in March

[1]

This is a decrease of $\frac{1}{10}$

$\frac{1}{10}$ [1]

Price	$\frac{1}{5}$ more than March
Number sold	$\frac{1}{4}$ less than March

Fractions (OCR GCSE Maths)

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