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

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Math Expert
Joined: 02 Sep 2009
Posts: 60647
Real-estate salesman Z is selling a house at a 20 percent discount fro  [#permalink]

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01 Nov 2019, 05:32
00:00

Difficulty:

55% (hard)

Question Stats:

64% (02:58) correct 36% (02:52) wrong based on 89 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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Joined: 18 Aug 2017
Posts: 5725
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Real-estate salesman Z is selling a house at a 20 percent discount fro  [#permalink]

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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
Manager
Joined: 10 Dec 2017
Posts: 177
Location: India
Re: Real-estate salesman Z is selling a house at a 20 percent discount fro  [#permalink]

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02 Nov 2019, 07:22
1
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

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

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