Cost price of 20 articles is same as selling price of x articles. If profit is 25 % , then value of

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7.Profit and Loss

medium

The cost price of $20$ articles is the same as the selling price of $x$ articles. If the profit is $25 \%$, then the value of $x$ is in $Rs.$

$15$

$16$

$18$

$25$

Solution

$CP$ of $20$ articles $=S P$ of $x$ articles

$20 \times CP$ of $1$ article $=x \times SP$ of $1$ article

$\Rightarrow \quad \frac{ CP \text { of } 1 \text { article }}{\text { SP of } 1 \text { article }}=\frac{x}{20} \quad$ Profit $\%=\frac{25}{100}=\frac{ SP – CP }{ CP }$

$\Rightarrow \frac{1}{4}=\frac{20- x }{ x }$

$x=Rs .16$

Standard 13

Quantitative Aptitude

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Solution

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