Question

$\bf \: If\: a\: man \:sell \:an\: article\: for\: Rs. \:500\: losing\: \dfrac{1}{5} \: of\: its\: cost\: price.\: Find \:his\: loss\: percent.$​

Answer 1

Given : ↴

A man sell an article for Rs. 500 by losing $\dfrac{1}{5}$ of it's C.P

Find : ↴

We have to find his loss percent.

So, Let's Start : ↴

$\sf \: Let \: the \: C.P \: of \: an \: article \: = \: Rs. \: x$

$\sf \: Loss \: = \: Rs. \: \: \cfrac{x}{5}$

$\sf \: S.P \: of \: an \: article \: = \: Rs. \: 500$

$\sf \: Loss \: = \: C.P \: -S.P$

$\sf \: \dfrac{x}{5} = \: x \: - \: 500$

$\sf \:500 \: = x \: - \: \dfrac{x}{5}$

$\sf \: 500 \: = \: \cfrac{5x \: - \: x}{5}$

$\sf \: 500 \: = \: \cfrac{4 \: x}{5}$

$\sf \: x \: = \: \dfrac{500 \: \times \: 5}{4}$

$\sf \: x \: = \: Rs \: . 625$

$\sf \: Therefore \: C.P \: of \: an \: article \: = \: Rs. \: 625.$

$\sf \longrightarrow \: Loss \: = \: \dfrac{625}{5} \: = \: Rs. \: 125$

$\sf \longrightarrow \: Loss \: \% \: = \: \dfrac{Loss}{CP} \: \times \: 10 0$

$\sf \longrightarrow \: \dfrac{125}{625} \: \times \: 10 0 = \: 20 \: \%$

$\bf \longrightarrow \: Answer \: 20 \: \%$

Answer 2

Step-by-step explanation:

the answer will be 20% .mark me as brainly