A merchant marks goods up by 75% and then offers a discount on the marked price. The profit that the merchant makes after offering the discount is 5%. What % discount did the merchant offer?
Choose the correct choice from the following:  A) 20 %  B) 25 %  C) 35 %  D) 40 %  E) 45 %

Rationale: "let p be the original price of the goods and let x be the rate after the markup . ( 1.75 p ) * x = 1.05 p x = 1.05 / 1.75 = 0.6 which is a discount of 40 % . the answer is d ."
Answer: D