Question

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 ___ articles.

Answer 1

Let C.P. of each article be Rs. 1
$\Rightarrow$ C.P. of $20$ articles=Rs.1 $\times 20$ = Rs. $20$
$\therefore$ S.P. of $x$ articles=Rs. 20.

$\Rightarrow$ S.P. of each article = Rs. $\frac{20}{x}$

$\therefore$ Profit on each article =Rs.$(\frac{20}{x}-1)$
Profit on 20 articles =Rs.$(\frac{20}{x}-1)\times 20$
Profit % $=\frac{profit}{C.P.}\times 100=\frac{\left(\frac{20-x}{x}\right)\times \text{/}20}{\text{/}20}\times 100$

$\Rightarrow \frac{20-x}{x}\times 100$=$25$

$\Rightarrow 2000-100x$ =$25x$

$\Rightarrow 125x$=$2000$

$\Rightarrow x$= 16 articles.