If CP of 50 items is equal SP of 40 items then profit or loss % ?

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7.Profit and Loss

medium

If the $CP$ of $50$ items is equal $SP$ of $40$ items then what is the profit or loss $\% ?$

A

$20$

B

$15$

C

$25$

D

$35$

Solution

As, $CP$ of $50$ items $=$ $SP$ of $40$ items

$\Rightarrow 50 \times( CP$ of $1$ item $)=40 \times( SP$ of $1$ item $)$

$\Rightarrow \quad \frac{ CP \text { of } 1 \text { item }}{\text { SP of } 1 \text { item }}=\frac{40}{50}=\frac{4}{5}$

Profit$\%$ $=\frac{S P-C P}{C P}=\frac{5-4}{4} \times 100=25 \%$

Standard 13

Quantitative Aptitude

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