Q8 of 94 Page 20

A trader marks his goods 40% above the cost price. He sells them at a discount of 5. What is his loss or gain percentage?

Let x be the cost price of the goods

Marked price is 40% above the cost price.


M.P = 40% of C.P + C.P


= 0.4x + x


= 1.4x


Discount = 5% of marked price


= × 1.4x


= (0.05) × (1.4x)


= 0.07x


Marked price = discount + selling price


1.4x = 0.07x + S.P


S.P = 1.4x – 0.07x


= 1.33x


Profit = S.P - C.P


= 1.33x – x


= 0.33 x


Profit % =


= × 100%


= 33 %


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