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 10 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 25 percent discount. Salesman Y's final price is what fraction of salesman X's final price?
Choose the correct choice from the following choices.
A) 72/80	B) 72/100	C) 57/80	D) 19/24	E) 76/100
Let retail price = $100.   Z sells with 20% discount. So z sells at $80.   X matches the price and gives additional 10%. So, X sells at 80-(10% of 80) = 80-8= 
<gadget id="calculator">80-8</gadget>
<output>72</output>
$72   Y avgs X and Z [ (72+80)/2= 
<gadget id="calculator"> (72+80)/2</gadget>
<output>76</output>
76]. Y gives additional 25% discount. So, Y sells at 76-(25% of 76)= 76-19= 
<gadget id="calculator">76-19</gadget>
<output>57</output>
$57   Now, ratio of Y to X= 57/72 = 19/24   Answer will be 19/24.
<result>D</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 10 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 25 percent discount. Salesman Y's final price is what fraction of salesman X's final price?