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Each employee on a certain task force is either a manger or

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Intern
Joined: 04 Aug 2008
Posts: 10
Each employee on a certain task force is either a manger or [#permalink]

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09 Nov 2008, 19:40
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Each employee on a certain task force is either a manger or a director. What percent of the employees on the task force are directors?
1) The average salary of the mangers on the task force is \$5000 less than the average of all employees on the task force.
2) The average salary of the directors on the task force is \$15000 greater than the average salary of all employees on the task force.
Intern
Joined: 07 Nov 2008
Posts: 31
Re: DS-GMAT prep. Either manager or director [#permalink]

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09 Nov 2008, 22:16
micky577 wrote:
Each employee on a certain task force is either a manger or a director. What percent of the employees on the task force are directors?
1) The average salary of the mangers on the task force is \$5000 less than the average of all employees on the task force.
2) The average salary of the directors on the task force is \$15000 greater than the average salary of all employees on the task force.

C

of course, neither alone is suff, so let put them together
M's salary is \$5,000 less than average, and D's is \$15,000 greater than average,
let the average be A, the number of M be x, and the number of D be y. then we can get
[(A-5000)x+(A+15000)y]/(x+y)=A
so 3y=x

or there is a much simple way.
because if the premise (1)+ (2) is true, then the following condition is also true:
let average salary be \$10,000, then M's salary is \$5,000, and D's salary is \$25,000

it is much easier to get 3y=x

so the percent of D is 3/4, or 75%
Re: DS-GMAT prep. Either manager or director   [#permalink] 09 Nov 2008, 22:16
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