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

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7.Profit and Loss

medium

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

$25$

Solution

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

$\therefore \quad$ Profit $(25 \%)=$ $S.P.$ of $(20-x)$ articles

$25 \%$ profit $=$ $C.P.$ of $5$ articles $=$ $S.P.$ of $\frac{x}{4}$ articles

$\therefore \quad \frac{x}{4}=20-x$

or $\frac{5}{4} x=20$

or $x=\frac{20 \times 4}{5}=16$

Standard 13

Quantitative Aptitude

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