A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles

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?

  1. 100%
  2. 200%
  3. 250%
  4. 300%

Answer

S = Selling price of 1 article.

Selling price of 100 articles = 100*S

Profit earned by selling 100 articles = Selling price of 75 articles = 75*S

SP = Cost Price + Profit

100*S = CP + 75*S

CP = 25*S

Profit % = 75/25 = 300%

The correct option is D.