Real-estate salesman Z is selling a house at a 10 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 10 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 10 percent discount. Salesman Y's final price is what fraction of salesman X's final price?
Choose the correct option.
A) 38/6 B) 38/5 C) 77/81 D) 38/7 E) 38/10
Let the retail price be = x   Selling price of Z = 0.90x   Selling price of X = 0.90*0.90= 
<gadget id="calculator">0.90*0.90</gadget>
<output>0.81</output>
0.81x   Selling price of Y= ((0.90x + 0.81x)/2)*0.90 = 0.86x * 0.90 = 0.77x   0.77x = k * 0.81x   k = 0.77/0.81 = 77/81   Answer: 77/81
<result>C</result>
Real-estate salesman Z is selling a house at a 10 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 10 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 10 percent discount. Salesman Y's final price is what fraction of salesman X's final price?