A shopkeeper marks the price of an article 25% above the
cost price. After allowing a discount of 15% on its marked
pric

A shopkeeper marks the price of an article 25% above the
cost price. After allowing a discount of 15% on its marked
price, it was sold at a gain of Rs. 2700. Find its marked
price
(Ans: Rs. 54000)

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Camila

2 thoughts on “A shopkeeper marks the price of an article 25% above the<br />cost price. After allowing a discount of 15% on its marked<br />pric”

  1. Let x be the original price

    marked price

    =x+25%of x= x+ 0.25x= 1.25x

    profit= sp-cp

    2700= (1.25x-15%of 1.25x) – x

    2700= [1.25x(1-0.15)] -x

    2700= (1.25x(0.85)-x

    2700= 1.0625x-x

    2700= 0.0625x

    x= 27000000/625= 43200

    therefore, marked price=1.25x= 43200× 1.25= 432×125

    = 54000

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