Question

There is 20% loss if an article is sold at Rs 480. At what price should it be sold so that there is neither profit nor loss?

Answer 1

Given :

Selling price of an article : ₹480

Loss percentage : 20%

To find :

The selling price if there is no loss kor profit.

Solution :

First, w should find the cost price of the article.

$\sf \dashrightarrow \dfrac{100}{(100 - Loss\%)} \times SP$

$\sf \dashrightarrow \dfrac{100}{(100 - 20)} \times 480$

$\sf \dashrightarrow \dfrac{100}{80} \times 480$

$\sf \dashrightarrow \dfrac{5}{4} \times 480$

$\sf \dashrightarrow \dfrac{5 \times 480}{4} = \dfrac{2400}{4}$

$\sf \dashrightarrow \cancel \dfrac{2400}{4} = 600$

We know that there is neither profit not loss. So,

Selling price :

$\sf \dashrightarrow Cost \: price - Selling \: price = 0$

$\sf \dashrightarrow 600 - SP = 0$

$\sf \dashrightarrow - SP = 0 - 600$

$\sf \dashrightarrow - SP = -600$

$\sf \dashrightarrow SP = 600$

Hence, if there should be neither profit not loss, it should be sold at ₹600.