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

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24 Jan 2013, 03:48
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kingston 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.

c

This is actually a direct application of weighted averages. If you recall the scale method (explained here: http://www.veritasprep.com/blog/2011/03 ... -averages/ ), this is what the number line will look like

AVG-5000 _____________ AVG _________________________AVG+15000

Number of managers/Number of directors = [(AVG+15000) - AVG]/[AVG - (AVG - 5000)] = 3/1

Percentage of directors = 1/(1+3) = 1/4 = 25%
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2. The average (Arithmetic Mean) salary of the directors on the task force is $15,000 greater than the average salary of all employees on the task force. EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 8565 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Followers: 398 Kudos [?]: 2562 [1] , given: 166 Re: Data Sufficiency Question from GMAT Prep [#permalink] ### Show Tags 19 Oct 2015, 10:32 1 This post received KUDOS Expert's post Hi kumarpritam, You'll likely get more of a response if you post this in the DS Forum here: gmat-data-sufficiency-ds-141/ GMAT assassins aren't born, they're made, Rich _________________ # Rich Cohen Co-Founder & GMAT Assassin # Special Offer: Save$75 + GMAT Club Tests

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Re: Data Sufficiency Question from GMAT Prep [#permalink]

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19 Oct 2015, 21:12
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kumarpritam wrote:
Each employee on a certain task force is either a manager or director. What percent of the employees on the task force are director?
1. The average (Arithmetic Mean) salary of the mangers on the task force is $5,000 less than the average salary of all 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 employees on the task force.

As Rich said, the right forum for this question is the DS forum.

The employees are a mix of managers and directors. We need to find the percentage of directors.

No statement alone gives you information on both managers and directors. We need to find whether both statements together are sufficient.

Use the scale method of weighted averages here.

w1/w2 = (A2 - Aavg)/(Aavg - A1) = 15000/5000 = 3:1
So for every 3 managers, there is one director. Hence, directors are 25% of the employees task force.

Check this post for details of the scale method: http://www.veritasprep.com/blog/2011/03 ... -averages/
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Intern Joined: 07 Sep 2015 Posts: 11 Followers: 0 Kudos [?]: 2 [0], given: 18 Re: Data Sufficiency Question from GMAT Prep [#permalink] ### Show Tags 19 Oct 2015, 21:24 Hi Kumarpritam, Let the average salary of all the employees be$x.
Statement 1. the avg salary of the employees is $(x-5000) {Insufficient} Statement 2. the avg salary of the directors is$(x+15000) {Insufficient}

Lets take S1 and S2 together. We can see that whatever may be the value of x, three employees salary would average out the salary of 1 director to have the average as x. [3*-5000 + 1*15000 = 0]
Hence, we can say that 25% are directors [1/(3+1)*100=1/4*100=25%] and rest 75% will be employees.

Let me know for any further clarification. Thanks.

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Re: Each employee of a certain task force is either a manager or [#permalink]

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19 Oct 2015, 21:24
Instead of going for such long calculations, I think the best way to get on with this question is as follows:

Let the average salary of all the employees be $x. Statement 1. the avg salary of the employees is$(x-5000) {Insufficient}
2. The average (Arithmetic Mean) salary of the directors on the task force is $15,000 greater than the average salary of all employees on the task force. As Rich said, the right forum for this question is the DS forum. The employees are a mix of managers and directors. We need to find the percentage of directors. No statement alone gives you information on both managers and directors. We need to find whether both statements together are sufficient. Use the scale method of weighted averages here. w1/w2 = (A2 - Aavg)/(Aavg - A1) = 15000/5000 = 3:1 So for every 3 managers, there is one director. Hence, directors are 25% of the employees task force. Answer (C) Check this post for details of the scale method: http://www.veritasprep.com/blog/2011/03 ... -averages/ Hi Karishma, I also tried the same method for this but the ratio of 3:1 s the ration of average salary. How can we say that it would be the ratio of Managers and Directors? Thanks Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7187 Location: Pune, India Followers: 2169 Kudos [?]: 14025 [0], given: 222 Re: Each employee of a certain task force is either a manager or [#permalink] ### Show Tags 11 Sep 2016, 21:49 rakaisraka wrote: VeritasPrepKarishma wrote: kumarpritam wrote: Each employee on a certain task force is either a manager or director. What percent of the employees on the task force are director? 1. The average (Arithmetic Mean) salary of the mangers on the task force is$5,000 less than the average salary of all 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 employees on the task force. As Rich said, the right forum for this question is the DS forum. The employees are a mix of managers and directors. We need to find the percentage of directors. No statement alone gives you information on both managers and directors. We need to find whether both statements together are sufficient. Use the scale method of weighted averages here. w1/w2 = (A2 - Aavg)/(Aavg - A1) = 15000/5000 = 3:1 So for every 3 managers, there is one director. Hence, directors are 25% of the employees task force. Answer (C) Check this post for details of the scale method: http://www.veritasprep.com/blog/2011/03 ... -averages/ Hi Karishma, I also tried the same method for this but the ratio of 3:1 s the ration of average salary. How can we say that it would be the ratio of Managers and Directors? Thanks How would you find the average salary of both - Managers + Directors Average salary of group = (Avg sal of Managers * No of managers + Avg sal of Directors * No of Directors) / (No of Managers + No of Directors) So note that the weights in weighted average formula are 'no of managers' and 'no of directors'. The formula w1/w2 = (A2 - Aavg)/(Aavg - A1) is just an arrangement of the above formula. w1 and w2 are the weights. A2 is the average salary of Directors, Aavg is the average salary of the group and A1 is the average salary of Managers. Stmt. 1. The average (Arithmetic Mean) salary of the mangers on the task force is$5,000 less than the average salary of all employees on the task force.
This means Aavg - A1 = 5,000

Stmt 2. The average (Arithmetic Mean) salary of the directors on the task force is $15,000 greater than the average salary of all employees on the task force. This means A2 - Aavg = 15,000 _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Each employee of a task force is either a manager or a director [#permalink]

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01 Oct 2016, 11:43
Each employee of a task force is either a manager or a director. What percent of employees on the task force are directors?

1: The average salary of a manager on the task force is $5,000 less than the average of all employees. 2. The average salary of a director on the task force is$15,000 greater than the average of all employees.
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Re: Each employee of a certain task force is either a manager or [#permalink]

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01 Oct 2016, 23:44
ebliss wrote:
Each employee of a task force is either a manager or a director. What percent of employees on the task force are directors?

1: The average salary of a manager on the task force is $5,000 less than the average of all employees. 2. The average salary of a director on the task force is$15,000 greater than the average of all employees.

Merging topics. Please search before posting.
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Re: Each employee of a certain task force is either a manager or [#permalink]

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30 Jan 2017, 17:03
Apply weighted Average formula:

N1/N2 = (M2-M)/(M-M1)

Let N1 = Managers
N2 = Directors

Statement 1: M-M1 = 5000
NOT SUFFICIENT

Statement 2: M2-M = 15000
NOT SUFFICIENT

Combining...

N1/N2 = 15000/5000 = 3:1

SUFFICIENT, SO [C]
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Re: Each employee of a certain task force is either a manager or   [#permalink] 30 Jan 2017, 17:03

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