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A dishonest trader marks up his goods by 80% and gives discount of 25%. Besides he gets 20% more amount per kg from wholesaler and sells 10% less per kg to customer. What is the overall profit percentage?

a) 50%
b) 60%
c) 70%
d) 80%

Answer: d
Explanation: CP = $$\frac{{100}}{{120}} = \frac{{10}}{{12}}$$   [He purchases 120 g and pays Rs. 100, by assumption actual CP of 1 g = Re. 1]
SP = $$\frac{{135}}{{90}} = \frac{3}{2} = \frac{{18}}{{15}}$$    [Actual MP = 180 as he mark up 80% above, SP = 135, with 25% discount and he sells 90 g instead of 100g]
Percentage Profit = $$ {\frac{{\frac{{18}}{{12}} – \frac{{10}}{{12}}}}{{\frac{{10}}{{12}}}}} \times 100 = 80\% $$

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