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

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Solution

$L e t C . P = 100$
$\Rightarrow M . P = 120$
$\Rightarrow D i s c o u n t = 15 % o f M . P = \frac{15 \times 120}{100}$ $[∵ S P = s e l l i n g p r i c e C . P = cost p r i c e]$
$\Rightarrow D i s c o u n t = 18$
$\Rightarrow S P = M P - D i s c o u n t = 120 - 18 = 102$
$G a i n % = (G a i n / C P) \times 100 = \frac{2}{100} \times 100 = 2 %$

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

LetC.P=100⇒M.P=120⇒Discount=15%ofM.P=15×120100 [∵SP=sellingpriceC.P=costprice]⇒Discount=18⇒SP=MP−Discount=120−18=102Gain%=(Gain/CP)×100=2100×100=2%

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