# After allowing a discount of 10% on the marked price,a trader makes a profit of 26%.by what per cent is the marked price above cost price?

Let the cost price be CP.
Seling price = (1+ 0.26) = 1.26 CP

Let the marked price be MP.

Discount 10% on marked price so selling price = (1-0.1) = 0.9 MP

1.26 CP = 0.9 MP

MP/CP =1.26/0.9 = 1.4

Percentage increase=(MP-CP)x100/CP

= 100MP/CP -100

= 140 -100

= 40 %

Hence the marked price is 40 % above the cost price.

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