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Question
A trader makes a profit equal to the selling price of 50 articles when he sold 80 of the articles. What  %  profit did he make in the transaction?
Options:
A .  183%
B .  176%
C .  183.33%
D .  166.67%
E .  6500
Answer: Option D
:
D
Soln:Let S be the selling price of 1 article.Therefore, the selling price of 80 articles = 80 S
The profit earned by selling these 80 articles = selling price of 50 articles = 50 S
We know that Selling Price (S.P.) = Cost Price (C.P) + Profit ofSelling price of 80 articles = 80 S and Profit = 50 S
80 S = C.P + 50 S. Hence, C.P = 80 S - 50 S = 30 S.Profit %=(50S30S)×100=166.67%

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