Find all School-related info fast with the new School-Specific MBA Forum

It is currently 29 Aug 2015, 13:35
GMAT Club Tests

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Director
Director
User avatar
Joined: 03 Sep 2006
Posts: 884
Followers: 6

Kudos [?]: 336 [0], given: 33

GMAT ToolKit User
Each employee on a certain task force is either a manager or [#permalink] New post 03 Apr 2007, 18:37
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Each employee on a certain task force is either a manager or a director. What percent of the employees on the task force are directors?

(1) The average ( arithmetic mean ) salary of the managers on the task force is $5,000 less than the average salary of all the employees on the task force.

(2) The average ( arithmetic mean ) salary of the directors on the task force is $15,000 greater than the average salary of all the employees on the task force.


Please explain why the answer is "C". how can we solve this question using both the statements (1) and (2)?
VP
VP
User avatar
Joined: 25 Jun 2006
Posts: 1173
Followers: 2

Kudos [?]: 83 [0], given: 0

 [#permalink] New post 03 Apr 2007, 19:56
Do a search in this forum. It has been posted thousands of times.
Director
Director
User avatar
Joined: 03 Sep 2006
Posts: 884
Followers: 6

Kudos [?]: 336 [0], given: 33

GMAT ToolKit User
Please Help [#permalink] New post 03 Apr 2007, 20:09
I tried searching for it in the forum, but unable to locate it. Would be very kind of you, if you could give me the link or let me know the explanation
Director
Director
User avatar
Joined: 03 Sep 2006
Posts: 884
Followers: 6

Kudos [?]: 336 [0], given: 33

GMAT ToolKit User
Power Prep Question [#permalink] New post 03 Apr 2007, 21:01
Could anyone please explain?
VP
VP
User avatar
Joined: 25 Jun 2006
Posts: 1173
Followers: 2

Kudos [?]: 83 [0], given: 0

 [#permalink] New post 03 Apr 2007, 21:15
Director
Director
User avatar
Joined: 03 Sep 2006
Posts: 884
Followers: 6

Kudos [?]: 336 [0], given: 33

GMAT ToolKit User
Solution..I solved it [#permalink] New post 03 Apr 2007, 21:56
Managers Directors
Number of people X Y
Average Salary M D


we need to find out Y/(X+Y)


from 1) we have

M+5000 = ( M*X+D*Y)/(X+Y)

=> M*X+M*Y+5000*X+5000*Y = M*X+D*Y

=> M*Y+5000*X+5000*Y = D*Y

=> 5000*X+5000*Y = D*Y-M*Y

=> 5000(X+Y) = D*Y-M*Y

=> 5000 = (D-M)*Y /(X+Y)

You don't know (D-M)---- thus (1) alone is insufficient


from 2) we have

D-15000 = ( M*X+D*Y)/(X+Y)

=> D*X+D*Y-15000*X-15000*Y = M*X+D*Y

=> D*X-15000*X-15000*Y = M*X

=> D*X-M*X = 15000*(X+Y)

=> X*(D-M) = 15000*(X+Y)

=> 15000 = (D-M)*X /(X+Y)

You don't know (D-M)---- thus (2) alone is insufficient



now solving for both 1) and 2)


Add both the results of (1) and (2)

(5000+15000) = { (D-M)*Y + (D-M)*X }/ ( X+Y )

=> 20000 = (D-M)*(X + Y ) /(X+Y)

=> 20000 = (D-M)

Putting the value of ( D-M ) in the equation (1) will give us;

5000 = 20000*Y /(X+Y)

=>Y/(X+Y) = 5000/20000


Thus using (1) and (2) we could solve it.


Therefore the answer is ( C )[/list][/list]
Solution..I solved it   [#permalink] 03 Apr 2007, 21:56
Display posts from previous: Sort by

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

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.