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# Each employee of a certain company is in either Department X

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Founder
Joined: 18 Apr 2015
Posts: 6197
Followers: 99

Kudos [?]: 1199 [0], given: 5704

Each employee of a certain company is in either Department X [#permalink]  11 Sep 2017, 16:04
Expert's post
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Question Stats:

36% (01:54) correct 63% (01:41) wrong based on 11 sessions
Each employee of a certain company is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department X and$35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees of the company?

Indicate all such amounts.

 $26,000 $28,000

 $29,000 $30,000

 $31,000 $32,000

 \$34,000

Practice Questions
Question: 3
Page: 122
Difficulty: medium
[Reveal] Spoiler: OA

_________________
Founder
Joined: 18 Apr 2015
Posts: 6197
Followers: 99

Kudos [?]: 1199 [0], given: 5704

Re: Each employee of a certain company is in either Department X [#permalink]  11 Sep 2017, 16:08
Expert's post
Explanation

Tough question unless you use the concept of weighted average: which element has more weight on the average as whole.

We do have $$\frac{2*25,000 + 1*35,000}{2+1}$$ $$= 28,33333$$. rember that Dep X has twice the employees of Dep Y.

As such, considering that X has more weight with 2 and Y with one the average goes toward X.

A and B are the only possible answers.
_________________
Re: Each employee of a certain company is in either Department X   [#permalink] 11 Sep 2017, 16:08
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