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# Each employee on a certain task force is either a manager or

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Each employee on a certain task force is either a manager or [#permalink]

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03 Dec 2008, 07:28
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Each employee on a certain task force is either a manager or a director. What % of the employees on the task force are directors?

1) The average (arithmetic mean) salary of the managers on the task force is $5000 less than the average salary of all employees on the task force. 2) The average (arithmetic mean) salary of the directors on the task force is$15000 greater that the average salary of all employees on the task force.

Will you supply detailed explanation
Current Student
Joined: 28 Dec 2004
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Location: New York City
Schools: Wharton'11 HBS'12
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Re: managers vs directors DS [#permalink]

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03 Dec 2008, 08:11
1) is S is the avg salary then 1) says (S-5)M is the salary of the managers

2) says (S+15)D is the salary of the Directors

together

total salary S(D+M)=(S-5)M+(s+15)D

you get 5M=15D or M=3D

C it is
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Re: managers vs directors DS [#permalink]

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03 Dec 2008, 08:22
C

directors average 15k+
managers 5k-

so average is 10k
ths directors make 25k on average and managers 5k

note 5k as a unit increment

so directors make 3 units more than the average and managers make 1 unit less

Now it gets really tricky

since managers r only 1 unit away from the average and directors 3 that means they are divided in 75:25 ratio
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Re: managers vs directors DS   [#permalink] 03 Dec 2008, 08:22
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