Real-estate salesman Z is selling a house at a 25 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 5 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 30 percent discount. Salesman Y's final price is what fraction of salesman X's final price?	Choose the correct choice from the following answers
A) 21/34  B) 55/71  C) 25/34  D) 26/34  E) 27/34
Let the retail price be = x   Selling price of Z = 0.75x   Selling price of X = 0.95*0.75x = 0.71x   Selling price of Y = ((0.75x + 0.71x)/2)*0.70 = 0.73x * 0.75 = 0.55x   0.55x = k * 0.71x   k = 0.55/0.71 = 55/71   Answer: 55/71
<result>B</result>
Real-estate salesman Z is selling a house at a 25 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 5 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 30 percent discount. Salesman Y's final price is what fraction of salesman X's final price?