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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 $Rs.$
A
$15$
B
$16$
C
$18$
D
$25$
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
