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In a certain department of ABC business school, there are either...

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In a certain department of ABC business school, there are either... [#permalink]

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In a certain department of ABC business school, there are either accounting or finance professors. If 2/3 of the professors are accounting professors, what is the ratio of the total number of professors that do outside consulting to the total number of professors that don't do outside consulting?

1) 1/3 of the finance professors do outside consulting.
2) The ratio of the number of accounting professors that do outside consulting to the number of finance professors that do outside consulting is 3:4.

Please explain in detail your answer so that we can all follow it.
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Re: In a certain department of ABC business school, there are either... [#permalink]

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New post 27 Aug 2016, 10:17
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EBITDA wrote:
In a certain department of ABC business school, there are either accounting or finance professors. If 2/3 of the professors are accounting professors, what is the ratio of the total number of professors that do outside consulting to the total number of professors that don't do outside consulting?

1) 1/3 of the finance professors do outside consulting.
2) The ratio of the number of accounting professors that do outside consulting to the number of finance professors that do outside consulting is 3:4.

Please explain in detail your answer so that we can all follow it.


Let total professors be 3x.

So, Accounting professors = 2x and Finance professors = x.

Now, Statement 1 says x/3 is the Finance professors who do Outside consulting. But we don;t know about Accounting professors who do outside consulting. Hence, Insufficient.

Now, Statement 2 : Accounting outside/Finance outside= 3/4 or say Accounting Outside = 3y and Finance Outside = 4y

Required Ratio, Total Outside/Total Not Outside= 7y/((2x-3y )+(x-4y))

= 7y/(3x-7y)

But we don't know the relation between x and y, we cannot solve this equation. hence, insufficient.

Combining, from one we know that x/3 = 4y or x=12y

Substitute this value in the equation of 2, we can get rid of variables and get the ratio as 7/29.

hence, C.
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Re: In a certain department of ABC business school, there are either... [#permalink]

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Re: In a certain department of ABC business school, there are either...   [#permalink] 12 Sep 2017, 21:17
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