Real-estate salesman Z is selling a house at a 30 percent discount from its retail price.

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?

Quiz

Answer/Solution

39/6

Steps/Work

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 = k * 0.60x
k = 0.39/0.6 = 39/6
Answer: A

General Calculator / Auto Solver

Real - estate salesman z is selling a house at a percent discount from its retail price. Real - estate salesman x vows to match this price, and then offers an additional percent discount. Real - estate salesman y decides to average the prices of salesmen z and x, then offer an additional percent discount. Salesman y's final price is what fraction of salesman x's final price?

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