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  • how much percent above the cost price should A shopkeeper marks his goods so that after allowing a discount of 20% on the Marked price, he gains 12%

how much percent above the cost price should A shopkeeper marks his goods so that after allowing a discount of 20% on the Marked price, he gains 12%

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eginarrayl extlet the CP be Rs. 100 and MP be Rs. x\ extgain % after discount =12\%\ extgain = 12\% of 100=Rs.12\ Rightarrow extSP of the article = CP + Gain\ =Rs.(100+12)=Rs.112\ Discount\%=20\%\ Discount=20\% of Marked price \ =rs. frac20100 imes x=fracx5\ extSince\ marked price -discount=SP \ x-fracx5=112\ Rightarrow frac4x5=112\ Rightarrow x=140.\ extamount marked above the CP = MP - CP\ =Rs.(140-100)\ =Rs.40\ extHence % amount marked above the CP\ frac40100 imes100=40\%endarray

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Deependra Verma

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