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 57.5%. What % discount did the merchant offer? Choose the correct choice.
A) 10% B) 15% C) 20% D) 25% E) 30%
Let P be the original price of the goods and let x be the rate after the markup.   (1.75P)*x = 1.575P   x = 1.575/1.75= 
<gadget id="calculator">1.575/1.75</gadget>
<output>0.9</output>
0.9 which is a discount of 10%.   The answer is 10%.
<result>A</result>
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 57.5%. What % discount did the merchant offer?