Each employee in a certain task force is either a manager or : DS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 17 Jan 2017, 01:49

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Each employee in a certain task force is either a manager or

Author Message
Intern
Joined: 30 Dec 2003
Posts: 33
Location: Danbury
Followers: 0

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

Each employee in a certain task force is either a manager or [#permalink]

### Show Tags

21 Apr 2008, 23:37
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

1.The Average salary of the Managers on the task force is $5000 less than the avg salary of all Employees on the task force. 2.The avg salary of the directors on the task force is$15000 greater than the avg salary of all employees on the task force.

a)
b)
c)
d)
e)
VP
Joined: 10 Jun 2007
Posts: 1459
Followers: 7

Kudos [?]: 255 [0], given: 0

### Show Tags

22 Apr 2008, 05:44
patrannn wrote:
Each employee in a certain task force is either a manager or a director. What percent of the employee on the task force are directors ?

1.The Average salary of the Managers on the task force is $5000 less than the avg salary of all Employees on the task force. 2.The avg salary of the directors on the task force is$15000 greater than the avg salary of all employees on the task force.

a)
b)
c)
d)
e)

I got C

Set S = average salary of all
Sm = average salary of managers
Sd = average salary of directors
d = number of directors
m = number of managers

We are looking for:
d / (m+d) = ?

The equation of average salary is the following:
S = (m*Sm + d*Sd) / (m+d)

In (1), we know that Sm = S-5000, and plug it back in, you get no where.
In (2), same problem as (1).
If using both conditions, we have:
S = (m*(S-5000) + d*(S+15000)) / (m+d) = (m*S - 5000m + d*S + 15000d) / (m+d)
S = (S*(m+d) - 5000m + 15000d) / (m+d) = S +(15000d - 5000m)/(m+d)
0 = (15000d - 5000m)/(m+d)
15000d = 5000m
3d = m
And so, d / (m+d) = d / (3d + d) = 1/4
SUFFICIENT
Current Student
Joined: 28 Dec 2004
Posts: 3384
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 15

Kudos [?]: 281 [0], given: 2

### Show Tags

22 Apr 2008, 06:56
NICE!!!

i had guessed it would be C..givien it seemed like a weighted avg..but as usual setting up the equation took..way tooo long..

any short cuts to this??
Manager
Joined: 15 Apr 2008
Posts: 50
Location: Moscow
Followers: 0

Kudos [?]: 19 [0], given: 8

### Show Tags

24 Apr 2008, 01:38
fresinha12 wrote:
NICE!!!

i had guessed it would be C..givien it seemed like a weighted avg..but as usual setting up the equation took..way tooo long..

any short cuts to this??

Just a general understanding.. Difference between average director's salary from average employer's is +15.000, difference of manager's salary -5.000. So, every single director's salary should be "compensated" by 3 salaries of managers to get to average employer's one.
Let's say average salary of employer is x, then

x+15.000 + (x-5.000) + (x-5.000) + (x-5.000)... gives us an average of "x"
Current Student
Joined: 28 Dec 2004
Posts: 3384
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 15

Kudos [?]: 281 [0], given: 2

### Show Tags

24 Apr 2008, 05:22
NICE...thats exactly what i had in mind..but couldnt somehow put it into a equation...

Sunchaser20 wrote:
fresinha12 wrote:
NICE!!!

i had guessed it would be C..givien it seemed like a weighted avg..but as usual setting up the equation took..way tooo long..

any short cuts to this??

Just a general understanding.. Difference between average director's salary from average employer's is +15.000, difference of manager's salary -5.000. So, every single director's salary should be "compensated" by 3 salaries of managers to get to average employer's one.
Let's say average salary of employer is x, then

x+15.000 + (x-5.000) + (x-5.000) + (x-5.000)... gives us an average of "x"
Re: DS- Employee   [#permalink] 24 Apr 2008, 05:22
Display posts from previous: Sort by