Question

A man bought an article for Rs $x$ and sold it for Rs $16$. If his loss was $x$ percent, find the cost price of the article.

Answer 1

Given, C.P $=x$ Rs.

S.P $=16$ Rs.

loss $\%=x\%=$ $\frac{x-16}{x}\times 100$

$\frac{x^2}{100}=x-16$

$\Rightarrow x^2-100x+1600=0$

$x=80$ ; $x=20$ Rs

Thus, the cost price of the article is $20$ Rs or $80$ Rs..