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# Three shops that belonged to a chain were closed, and as a result the

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Math Expert
Joined: 02 Sep 2009
Posts: 50007
Three shops that belonged to a chain were closed, and as a result the  [#permalink]

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21 Oct 2016, 00:24
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Difficulty:

45% (medium)

Question Stats:

74% (02:09) correct 26% (02:20) wrong based on 87 sessions

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Three shops that belonged to a chain were closed, and as a result the average (arithmetic mean) annual revenue per shop in the chain grew from $150,000 to$225,000. If the number of shops in the chain before the change was 8, approximately, what was the average annual revenue of the shops that were closed?

A. $25,000 B.$37,500
C. $58,333 D.$75,000
E. $91,666 _________________ Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4096 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: Three shops that belonged to a chain were closed, and as a result the [#permalink] ### Show Tags 21 Oct 2016, 12:45 Bunuel wrote: Three shops that belonged to a chain were closed, and as a result the average (arithmetic mean) annual revenue per shop in the chain grew from$150,000 to $225,000. If the number of shops in the chain before the change was 8, approximately, what was the average annual revenue of the shops that were closed? A.$25,000
B. $37,500 C.$58,333
D. $75,000 E.$91,666

The average grew from 150000 to 225000 , all due to 3 shops...

So, Average per shop will be $$\frac{( 225000 - 150000 )}{3}$$ = $$25000$$

Hence answer will be (A) 25000...

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Thanks and Regards

Abhishek....

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Joined: 18 Sep 2016
Posts: 49
Three shops that belonged to a chain were closed, and as a result the  [#permalink]

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21 Oct 2016, 13:05
1
Bunuel wrote:
Three shops that belonged to a chain were closed, and as a result the average (arithmetic mean) annual revenue per shop in the chain grew from $150,000 to$225,000. If the number of shops in the chain before the change was 8, approximately, what was the average annual revenue of the shops that were closed?

A. $25,000 B.$37,500
C. $58,333 D.$75,000
E. $91,666 if the average annual revenue of the 5 shops which are still open is 225,000, it means that they make a total of $$225,000*5= 1,125,000$$$

let's call the average annual revenue of the 3 shops that have been closed x.
therefore, they make a total of $$3*x$$ $We know that the total revenue of the 8 shops that were open has to be 150,000 Thus $$\frac{(3x+1,125,000)}{8} = 150,000$$ therefore $$x =25,000$$ ===> answer A _________________ Please press Kudos if you like my post VP Joined: 07 Dec 2014 Posts: 1104 Re: Three shops that belonged to a chain were closed, and as a result the [#permalink] ### Show Tags 22 Oct 2017, 12:53 Bunuel wrote: Three shops that belonged to a chain were closed, and as a result the average (arithmetic mean) annual revenue per shop in the chain grew from$150,000 to $225,000. If the number of shops in the chain before the change was 8, approximately, what was the average annual revenue of the shops that were closed? A.$25,000
B. $37,500 C.$58,333
D. $75,000 E.$91,666

[(8)($150,000)-(5)($225,000)]/3=\$25,000
A
Re: Three shops that belonged to a chain were closed, and as a result the &nbs [#permalink] 22 Oct 2017, 12:53
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