A trader makes a profit equal to the selling price of 50 articles when he sold

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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?

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 of Selling 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 $% = (\frac{50 S}{30 S}) \times 100 = 166.67 %$

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