A shopkeeper is allowing a discount 20%on his good , how much percent above the cost price shojuld he mark hus goods , so that after allowing a discount on the marked price , he gains 25% ?
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let cp of good is x
then sp
125% of cp is sp
125% of cp=sp
sp=1.25x (cp=x)
Now MP
20% Discount on mp
80% of Mp=1.25x
Mp=1.25x÷80%
Mp=1.25x÷0.80
Mp=1.5625x
His Mp percentage above Cost price is
1.5625x-x=.5625x
Percentage above the cost price is=
.5625x×100/x
56.25%
The answer is 56.25%
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