A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What % profit did he make in the transaction?

A 33.33%

B 75%

C 300%

D 150%

Solution

Correct Answer: Option C

Let S be the selling price of 1 article. Therefore, the selling price of 100 articles = 100 S. --(1) The profit earned by selling these 100 articles = selling price of 75 articles = 75 S -- (2) We know that Selling Price (S.P.) = Cost Price (C.P) + Profit -- (3) Selling price of 100 articles = 100 S and Profit = 75 S from (1) and (2). Substituting this in eqn (3), we get 100 S = C.P + 75 S. Hence, C.P = 100 S - 75 S = 25 S. Profit % = 300%

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