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# In a work force, the employees are either managers or directors.

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Intern
Joined: 11 Oct 2017
Posts: 4
Location: India
Schools: HKUST '21 (II)
In a work force, the employees are either managers or directors.  [#permalink]

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14 Apr 2018, 14:04
00:00

Difficulty:

55% (hard)

Question Stats:

46% (00:09) correct 54% (01:16) wrong based on 13 sessions

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In a work force, the employees are either managers or directors. What is the percentage of directors?
(1) the average salary for manager is \$5,000 less than the total average salary.
(2) the average salary for directors is \$15,000 more than the total average salary.

Senior Manager
Joined: 24 Mar 2018
Posts: 268
Re: In a work force, the employees are either managers or directors.  [#permalink]

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14 Apr 2018, 22:52
1
Let average salary of managers be m , directors be d and overall be x
Statement 1:
m=x-5000
Statement 2:
d=x+15000

Also,
x=(n*d+o*m)/(n+o) where n is no of directors and o no of managers

On solving above there equations you can will get a ratio of n:o as 3:1
So now you can say the percentage of director
Math Expert
Joined: 02 Sep 2009
Posts: 56275
Re: In a work force, the employees are either managers or directors.  [#permalink]

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14 Apr 2018, 22:54
rev13mig wrote:
In a work force, the employees are either managers or directors. What is the percentage of directors?
(1) the average salary for manager is \$5,000 less than the total average salary.
(2) the average salary for directors is \$15,000 more than the total average salary.

Check here: https://gmatclub.com/forum/in-a-work-fo ... fl=similar
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Re: In a work force, the employees are either managers or directors.   [#permalink] 14 Apr 2018, 22:54
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