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• ### $450 Tuition Credit & Official CAT Packs FREE November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### Free GMAT Strategy Webinar November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. # In Dives Corporation, 75% of the employees are customer service repres  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 50585 In Dives Corporation, 75% of the employees are customer service repres [#permalink] ### Show Tags 04 Dec 2017, 03:08 00:00 Difficulty: 15% (low) Question Stats: 81% (01:40) correct 19% (01:25) wrong based on 72 sessions ### HideShow timer Statistics In Dives Corporation, 75% of the employees are customer service representatives, 15% are programmers, and 10% are managers. The customer service representatives have an average salary of$60,000, and the programmers have an average salary of $100,000. If the average salary of all employees is also$100,000, what is the average salary of the managers?

A. $140,000 B.$180,000
C. $260,000 D.$400,000
E. $560,000 _________________ Director Joined: 09 Mar 2017 Posts: 516 Location: India Concentration: Marketing, Organizational Behavior WE: Information Technology (Computer Software) Re: In Dives Corporation, 75% of the employees are customer service repres [#permalink] ### Show Tags 04 Dec 2017, 03:20 1 imo D let total # of employees be 100 & the average salary of the managers be x sum of salaries = average salary* number of employees $$10^7$$= (60,000*75) +($$10^5$$ *15) + 10x $$10^7$$= 45*$$10^5$$ + 15*$$10^5$$ +10x $$10^5$$(100-60)=10x x= 400,000 _________________ ------------------------------ "Trust the timing of your life" Hit Kudus if this has helped you get closer to your goal, and also to assist others save time. Tq Director Joined: 18 Aug 2016 Posts: 625 Concentration: Strategy, Technology GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38 Re: In Dives Corporation, 75% of the employees are customer service repres [#permalink] ### Show Tags 04 Dec 2017, 03:21 1 Bunuel wrote: In Dives Corporation, 75% of the employees are customer service representatives, 15% are programmers, and 10% are managers. The customer service representatives have an average salary of$60,000, and the programmers have an average salary of $100,000. If the average salary of all employees is also$100,000, what is the average salary of the managers?

A. $140,000 B.$180,000
C. $260,000 D.$400,000
E. $560,000 40....100....x (Distance from Mean) 75 * 40 = x * 10 x = 30 Salary of manager = 30 + 10 = 40 D _________________ We must try to achieve the best within us Thanks Luckisnoexcuse Senior SC Moderator Joined: 22 May 2016 Posts: 2094 In Dives Corporation, 75% of the employees are customer service repres [#permalink] ### Show Tags 11 Dec 2017, 09:30 Bunuel wrote: In Dives Corporation, 75% of the employees are customer service representatives, 15% are programmers, and 10% are managers. The customer service representatives have an average salary of$60,000, and the programmers have an average salary of $100,000. If the average salary of all employees is also$100,000, what is the average salary of the managers?

A. $140,000 B.$180,000
C. $260,000 D.$400,000
E. $560,000 Weighted average approach.* For easier calculation, remove three zeros from salaries (divide all by 1,000). Obviously, put them back for the answer. Percentages sum to 100, in decimal form, = 1. They are the weight. Salaries are the average for each group. Let$x = managers' average salary

Customer service: .75($60) Programmers: .15($100)
Managers: .10($x) Total weight: (.75 + .15 + .10 = 1) Overall average salary:$100

.75($60) + .15($100) + .10($x) = (1)($100)

$45 +$15 + .10x = $100 .10x =$40
$$x = \frac{40}{.10}=400$$
(put three zeros back, i.e., $400 * 1,000) x =$400,000

*$$(W_1)(A_1) + (W_2)(A_2) + (W_3)(A_3) = (W{1+2+3})(A_{overall})$$
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Re: In Dives Corporation, 75% of the employees are customer service repres  [#permalink]

### Show Tags

12 Jan 2018, 06:29
Bunuel wrote:
In Dives Corporation, 75% of the employees are customer service representatives, 15% are programmers, and 10% are managers. The customer service representatives have an average salary of $60,000, and the programmers have an average salary of$100,000. If the average salary of all employees is also $100,000, what is the average salary of the managers? A.$140,000
B. $180,000 C.$260,000
D. $400,000 E.$560,000

We can let n = the average salary of the managers and create the equation:

0.75(60,000) + 0.15(100,000) + 0.1n = 100,000

45,000 + 15,000 + 0.1n = 100,000

0.1n = 40,000

n = 400,000

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Re: In Dives Corporation, 75% of the employees are customer service repres  [#permalink]

### Show Tags

26 Sep 2018, 21:58
Hi All,

We're told that in the Dives Corporation, 75% of the employees are customer service representatives, 15% are programmers, and 10% are managers, the customer service representatives have an average salary of $60,000, and the programmers have an average salary of$100,000. We're asked if the average salary of ALL employees is also $100,000, then what is the average salary of the MANAGERS. This question can be approached in a variety of different ways - using some variation on the Average Formula. Here's how you can use the concept of a 'Weighted Average' against this prompt. Since the average salary of ALL employees is$100,000, we can ignore the programmers (since they have an average salary of $100,000 already). This allows us to focus on the customer service representatives and the managers. 75% of the employees are customer service representatives and 10% are managers, so that is a ratio of 7.5 to 1 (meaning for every 1 manager, there are 7.5 customer service reps). Customer service reps have an average salary of$60,000, so each rep is essentially $40,000 BELOW the average. This difference has to be 'made up' by the managers. For every 7.5 customer service reps, we'll be (7.5)($40,000) = $300,000 total below what the average is supposed to be, so the 1 manager will have to 'make up' that$300,000 AND have a $100,000 salary to match the average. This means that each manager would need to earn$300,000 + $100,000 =$400,000 to balance out the average.

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Re: In Dives Corporation, 75% of the employees are customer service repres &nbs [#permalink] 26 Sep 2018, 21:58
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