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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?
Answer & Solution
Correct Answer:
Option
D
CP = $$\frac{{100}}{{120}} = \frac{{10}}{{12}}$$ [Since, he purchases 120 g and pays Rs. 100, by assumption actual CP of 1 g = Re. 1]
SP = $$\frac{{135}}{{90}} = \frac{3}{2} = \frac{{18}}{{15}}$$ [Since, Actual MP = 180 as he mark up 80% above, SP = 135, with 25% discount and he sells 90 g instead of 100g]
Percentage Profit = $$ {\frac{{\frac{{18}}{{12}} - \frac{{10}}{{12}}}}{{\frac{{10}}{{12}}}}} \times 100 = 80\% $$
SP = $$\frac{{135}}{{90}} = \frac{3}{2} = \frac{{18}}{{15}}$$ [Since, 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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LoginSo 80% profit
1000 g cp=100
Mp=100*180%=180
Sp=180*75%=135
Again,He buys=1200 g
Sales=1000*90%=900 g
Now,
900 g selling price 135
1200 g selling price 135*1200/900=180
Profit %=(180-100)*100/100=80%
100*(9/5)*(3/4)*(6/5)*(10/9) = 180
So Profit% ( 180 - 100 ) = 80%
Solved by : Md Helal uddin