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

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Veritas Prep GMAT Instructor
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24 Jan 2013, 04:48
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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: 6439 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Followers: 271 Kudos [?]: 1906 [1] , given: 161 Re: Data Sufficiency Question from GMAT Prep [#permalink] ### Show Tags 19 Oct 2015, 11:32 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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Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 6585
Location: Pune, India
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Kudos [?]: 10821 [1] , given: 213

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

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19 Oct 2015, 22:12
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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 $199 Veritas Prep Reviews Intern Joined: 07 Sep 2015 Posts: 7 Followers: 0 Kudos [?]: 1 [0], given: 1 Re: Data Sufficiency Question from GMAT Prep [#permalink] ### Show Tags 19 Oct 2015, 22:24 Hi Kumarpritam, Let the average salary of all the employees be$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.

P.S. Be kind and give Kudos. :D
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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, 22:24
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}
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. Answer C. Let me know for any further clarification. Thanks. P.S. Be kind and give Kudos. :D Math Forum Moderator Joined: 20 Mar 2014 Posts: 2606 Concentration: Finance, Strategy Schools: Kellogg '18 (M) GMAT 1: 750 Q49 V44 GPA: 3.7 WE: Engineering (Aerospace and Defense) Followers: 97 Kudos [?]: 1094 [2] , given: 777 Each employee of a certain task force is either a manager or [#permalink] ### Show Tags 20 Oct 2015, 04:40 2 This post received KUDOS Expert's post 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.

Please follow posting guidelines (link in my signatures). Make sure to select PS or DS forums for your questions. Do not use general GMAT or other forums. Make sure to type in the correct topic title as per the guidelines and include the OA and 3 tags 1 each for source,difficulty and sub topic.

Finally, search for a question before posting as the same question might have been discussed before. This question has already been discussed before. Refer above for the solution.

Topics merged. Thank you EMPOWERgmatRichC and VeritasPrepKarishma

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Each employee of a certain task force is either a manager or   [#permalink] 20 Oct 2015, 04:40

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