Real-estate salesman Z is selling a house at a 30 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 15 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 40 percent discount. Salesman Y's final price is what fraction of salesman X's final price?  Options
A) 39/6	B) 62/11	C) 11/61	D) 21/61	E) 20/61
Let the retail price be = x   Selling price of Z = 0.7x   Selling price of X = 0.85*0.7x = 0.60x   Selling price of Y = ((0.7x + 0.6x)/2)*0.60 = 0.65x * 0.60 = 0.39x   0.39x 0.65  * 0.60= 
<gadget id="calculator">0.65  * 0.60</gadget>
<output>0.39</output>
0.39x   0.39x= k * 0.60x   k = 0.39/0.6 = 39/6   39/6nswer: 39/6
<result>A</result>
Real-estate salesman Z is selling a house at a 30 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 15 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 40 percent discount. Salesman Y's final price is what fraction of salesman X's final price?