Question

A man sold an article for Rs $88$ at a loss. But, if the sells it for Rs $112$, then he would gain an amount thrice the loss. Find the C.P of the article.

Answer 1

Let when article was sold for Rs. $88$ the loss was Rs. $x$

$\therefore CP=SP+Loss$

$CP=88+x$ ----- $\left(i\right)$

Also,When $SP=112$

$Profit=3\times loss$

$Profit=3x$ ------ $\left(ii\right)$

Also,Profit $+$ CP $=$SP

$3x+88+x=112$ [ from eq $\left(i\right)$ and $\left(ii\right)$ ]

$4x=24$

$x=6$

$\therefore$ CP of the article $=88+6=94$