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

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Real-estate salesman Z is selling a house at a 20 percent discount fro  [#permalink]

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New post 01 Nov 2019, 05:32
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Question Stats:

63% (02:50) correct 37% (02:54) wrong based on 34 sessions

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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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Re: Real-estate salesman Z is selling a house at a 20 percent discount fro  [#permalink]

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New post 01 Nov 2019, 07:24
1
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

Bunuel wrote:
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


Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
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Re: Real-estate salesman Z is selling a house at a 20 percent discount fro  [#permalink]

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New post 02 Nov 2019, 07:22
Bunuel wrote:
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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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:)
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Re: Real-estate salesman Z is selling a house at a 20 percent discount fro   [#permalink] 02 Nov 2019, 07:22
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