Real-estate salesman Z is selling a house at a 20 percent discount fro

Question

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?

A. 72/80
B. 72/100
C. 57/80
D. 19/24
E. 76/100

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A. 72/80
B. 72/100
C. 57/80
D. 19/24
E. 76/100

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Archit3110 · Accepted Answer

Sales Man ---Retail Price ---- Final price
Z ---------- 100 ----------- 80
X ----------- 80 ------ -----72
Y ----------- 76 ------------ 57

Salesman Y's final price is what fraction of salesman X's final price = 57/72 ; 19/24
IMO D

satya2029 · Answer

Let the retail price of a house that Z is selling is Z
Price after discount=0.8 Z
Salesman X wants to match this price- Lets price is 0.8 Z
after additional discount of 10%
Price offered by X= 0.9*0.8Z =0.72 Z
Y decides to average the prices of salesmen Z and X, then offer an additional 25 percent discount
Price offered by Y=  (0.8Z+0.72Z)/2 *0.75 
=0.57Z
Price offered by Y/Price offered by X= 0.57Z/0.72Z 
=19/24
D:)

Kinshook · Answer

Given: 
1. Real-estate salesman Z is selling a house at a 20 percent discount from its retail price. 
2. Real-estate salesman X vows to match this price, and then offers an additional 10 percent discount. 
3. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 25 percent discount.

Asked: Salesman Y's final price is what fraction of salesman X's final price?

Let the retail price of the house be x

Z is selling it @ .80x
X is selling it @ .8*.9x = .72x
Y is selling it @ .76x*.75

Salesman Y's final price is what fraction of salesman X's final price = .76x*.75/.72x = 19/18*(3/4) = 19/6*4 = 19/24

IMO D

Avysar · Answer

Let's assume the retail price as 100. Then the selling price of Z after 20% discount is 80
On this Y offers 10% discount. So his price is 90% of 80= 72
X averages (80+72)/2=76
On this he gives 25% discount...that means the cost is 75% of 76
76*75/100= 57
The question is what is 57 out of 76
57/76=19/24
Hence D

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petercasts · Answer

Thanks, it is what I was looking for

Jawad001 · Answer

Real-estate salesman X vows to match this price, and then offers an additional 10 percent discount. Real-estate salesman Z is selling a house at a 20 percent discount from its retail price. 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?

A. 72/80
B. 72/100
C. 57/80
D. 19/24
E. 76/100
Solution:
Suppose, Retail price = 100
Selling price of Z = 100*(4/5) = 80
Selling price of X = 80* (90/100) = 72
Average price of salesmen Z and X = (80 +72)/2 = 76
Selling price of Y = 76*(3/4) = 57
Required = 57/72 = 19/24
Answer: 19/24(D)

bumpbot · Answer

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Real-estate salesman Z is selling a house at a 20 percent discount fro

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