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:

• A. 15
• B. 16
• C. 25
• D. 30

Answer 1

The correct option is B $16$

Let C.P of each article be Re.$1$.

C.P of $x$ articles $=Rs.x$ and S.P of $x$ articles $=Rs.20$.

Profit $=Rs.(20-x)$.

$\therefore$ $\frac{20-x}{x}\times 100=25$$⟹$$2000-100x=25x$
$⟹$ $125x=2000$
$\therefore$ $x=16$.