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# GMATPRep Maths DS

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Senior Manager
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 [?]: 29 [0], given: 0

GMATPRep Maths DS [#permalink]  16 Mar 2008, 14:32
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I haven't been able to figure this out yet. Please provide your explanations.
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Director
Joined: 10 Sep 2007
Posts: 948
Followers: 7

Kudos [?]: 213 [1] , given: 0

Re: GMATPRep Maths DS [#permalink]  16 Mar 2008, 16:03
1
KUDOS
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)

Re: GMATPRep Maths DS   [#permalink] 16 Mar 2008, 16:03
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