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

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

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New post 21 Oct 2016, 00:24
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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

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Re: Three shops that belonged to a chain were closed, and as a result the [#permalink]

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New post 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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Three shops that belonged to a chain were closed, and as a result the [#permalink]

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New post 21 Oct 2016, 13:05
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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
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Re: Three shops that belonged to a chain were closed, and as a result the [#permalink]

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New post 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   [#permalink] 22 Oct 2017, 12:53
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