Question

Ravi sells two articles for Rs. 4,500 each, making 25% profit on one and 25% loss on the other. Find C.P. of each article.

Answer 1

Given, for first article
$S.P=Rs4,500$
Profit $=25$ %
Now, with this S.P. and for Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=25$ %

$=>\frac{4,500-C.P.}{C.P.}\times 100=25$

$=>4,500-C.P.=0.25C.P.$
$1.25C.P.=4,500$
$=>C.P.=Rs3,600$
And for another article,
$S.P=Rs4,500$
Loss $=25$ %
So, Loss % $=\frac{C.P.-S.P.}{C.P.}\times 100=25$

$=>\frac{C.P.-4,500}{C.P}\times 100=25$

$=>C.P.-4,500=0.25C.P.$
$=>0.75C.P=4,500$
$=>C.P.=Rs6,000$
Thus C.P. of 1st article $=Rs3,600$ and C.P. of 2nd article $=Rs6,000$