Question

A dealer sells an article at 5% higher price.If the article is purchased at 10% less cost and sold for Rs.156 less than there is a profit of 15%. Find the cost price of the article.

Answer 1

Suppose the $CostPrice$ of the article is $Rs.100.$
$SellingPrice$ (at $5\%$ higher price) $=Rs.105$

If it is purchased at $10\%$ less $C{P}^{\prime }=100-10=Rs.90$
at $15\%$ profit,

$S{P}^{\prime }$ =$90\times \frac{100+15}{100}=90\times \frac{115}{100}=Rs.103.50$

Difference in the two selling price $=105-103.50=Rs.1.50$
$\because$ If the difference in the $S.P$ is $Rs.1.50$ then the $CP$ is $Rs.100$
$\therefore$ If the difference in the $S.P$ is $Rs.156$ then the $CP$ is $\frac{100}{1.50}\times 156=Rs.10400$