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GMATPRep Maths DS

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Senior Manager
Senior Manager
User avatar
Joined: 02 Aug 2007
Posts: 347
Location: Greater New York City area
Schools: Tuck, Ross (R1), Duke, Tepper, ISB (R2), Kenan Flagler (R2)
Followers: 3

Kudos [?]: 24 [0], given: 0

GMAT Tests User
GMATPRep Maths DS [#permalink] New post 16 Mar 2008, 14:32
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
I haven't been able to figure this out yet. Please provide your explanations.
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Joined: 10 Sep 2007
Posts: 951
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Re: GMATPRep Maths DS [#permalink] New post 16 Mar 2008, 16:03
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Let total number of Managers is = M
Let total number of Directors is = D
Let the salary of each Manager = Sm
Let the salary of each Director = Sd

Average salary of Manager = M*Sm/M = Sm
Average salary of Director = D*Sd/D = Sd
Average salary of all the employee = (M*Sm+D*Sd)/(M+D)

Statement 1:
Tells us that (M*Sm+D*Sd)/(M+D) - Sm = 5000
=> D(Sd-Sm) = 5000(D+M).............1
As Sd and Sm are not know so no direct relation between M and D can be obtained. Insufficient.

Statement 2:
Tells us that Sd - (M*Sm+D*Sd)/(M+D) = 15000
=> M(Sd-Sm) = 15000(D+M)..............2
As Sd and Sm are not know so no direct relation between M and D can be obtained. Insufficient.

Combining Statement 1 and 2:
Divide Equation 2 by Equation 1, then we have
M = 3D

So total number of employees = M + D = 3D + D = 4D

Percent of employee who are director = D/4D * 100 = 25% (Although we do not need to calculate it)

So both statement together can answer the question, hence Answer C.
Re: GMATPRep Maths DS   [#permalink] 16 Mar 2008, 16:03
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