Real-estate salesman Z is selling a house at a 20 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 20 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 20 percent discount. Salesman Y's final price is what fraction of salesman X's final price?
Choose the correct answer.
A) 29/32	B) 28/31	C) 30/31	D) 40/41	E) 34/15
Let the retail price be = x   Selling price of Z = 0.80x   Selling price of X = 0.80*0.80= 
<gadget id="calculator">0.80*0.80</gadget>
<output>0.64</output>
0.64x   Selling price of Y= ((0.80x + 0.64x)/2)*0.80 = 0.72x * 0.80 = 0.58x   0.58x = k * 0.64x   k = 0.58/0.64 = 58/64=29/32   29/32nswer: 29/32
<result>A</result>
Real-estate salesman Z is selling a house at a 20 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 20 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 20 percent discount. Salesman Y's final price is what fraction of salesman X's final price?