Question

A shopkeeper marks his goods $20\%$ above cost price and allows a discount of $15\%$. What percent does he gain or lose ?

Answer 1

$LetC.P=100$

$\Rightarrow M.P=120$

$\Rightarrow Discount=15\%ofM.P=\frac{15\times 120}{100}$ $\left[\because SP=sellingpriceC.P=\text{cost}price\right]$

$\Rightarrow Discount=18$

$\Rightarrow SP=MP-Discount=120-18=102$

$Gain\%=\left(Gain/CP\right)\times 100=\frac{2}{100}\times 100=2\%$