Question

If the profit eamed on selling an article for $₹810$ is the same as loss on selling it for $₹530$, then find the cost price of the article.

Answer 1

Case 1: Profit = Selling price $(S.P)$ - Cost price $(C.P)$
Case 2: Loss = Cost price $(C.P)-$ Selling price (S.P)
Given that profit of case $1=$ loss of case 2
$\begin{array}{cc}& \therefore P=810-C.P\\ & L=C.P-530\end{array}$
Since profit $\left(P\right)=10s5\left(L\right)$
$810-C.P=CP-530$
$\therefore 2CP=810+530=1340$
$=C.P=\frac{1340}{2}$
$\therefore CP=670$