A dealer marks his goods 20% more than cost price,and offers a discount of 10%.Find his gain or loss %. Solution:- Let Cost Price (CP)= x If CP is x then Marked Price (MP)= CP+(20% of CP) So,MP=x+(20/100 X x)=x+20x/100 MP =((100x+20x))/100=120x/100 MP=12x/10 Discount=10% of MP=10% of 12x/10 Discount=10/100 X 12x/10=12x/100 Sales Price (SP)= MP-Discount=12x/10-12x/100 SP=(120x-12x)/100=108x/100 SP is more than CP,So there will be Profit; Profit=SP-CP=108x/100- x Profit =(108x-100x)/100=8x/100 Profit%=(Profit/CP)X 100=8x/100 ÷x/1 X 100/1 Profit%= 8x/100 X 1/x X 100/1=8% Profit%=8% Ans.
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