Question

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)
​

Answer 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