Question

A dealer marks his goods at $35\%$ above the cost price and allows a discount of $20\%$ on the marked price . Find his gain or loss per cent.

Answer 1

$\text{Let C.P. of goods =Rs.100}\therefore \text{Marked price}=Rs.100+35=Rs.135$ (as $35\%$ of $100$ is $Rs.35$)
$\text{Rate of discount}=20\%$
Discount amount$=20\%$ of $135$
$=\frac{20}{100}\times 135$
$=Rs.27$
Now, selling price$=$M.P$-$Discount
$=135-27$
$=108$
Since, S.P$>$C.P
Profit amount $=$S.P$-$C.P
$=108-100$
$=8$
Thus, Gain percent$=\frac{\text{profit}}{\text{C.P}}\times 100$
$=\frac{8}{100}\times 100$
$=8\%$