Question

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

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

Answer 1

The correct option is B $16$

Let the C.P. of 1 article $=Rs.1$. Then,
S.P. of x articles $=$ C.P. of 20 articles $=Rs.20$
C.P. of x articles $=Rs.x$
$Profit=Rs.(20-x)$. Profit % $=25$
$\Rightarrow \frac{(20-x)}{x}\times 100=25\Rightarrow 2000-100x=25x$
$\Rightarrow 125x=2000\Rightarrow x=16$.