GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 14 Nov 2018, 22:56

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • $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
User avatar
V
Joined: 02 Sep 2009
Posts: 50585
In Dives Corporation, 75% of the employees are customer service repres  [#permalink]

Show Tags

New post 04 Dec 2017, 03:08
00:00
A
B
C
D
E

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

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Director
Director
User avatar
P
Joined: 09 Mar 2017
Posts: 516
Location: India
Concentration: Marketing, Organizational Behavior
WE: Information Technology (Computer Software)
CAT Tests
Re: In Dives Corporation, 75% of the employees are customer service repres  [#permalink]

Show Tags

New post 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
Director
User avatar
P
Joined: 18 Aug 2016
Posts: 625
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Premium Member Reviews Badge
Re: In Dives Corporation, 75% of the employees are customer service repres  [#permalink]

Show Tags

New post 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
avatar
V
Joined: 22 May 2016
Posts: 2094
Premium Member CAT Tests
In Dives Corporation, 75% of the employees are customer service repres  [#permalink]

Show Tags

New post 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

Answer D

*\((W_1)(A_1) + (W_2)(A_2) + (W_3)(A_3) = (W{1+2+3})(A_{overall})\)
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)
Re: In Dives Corporation, 75% of the employees are customer service repres  [#permalink]

Show Tags

New post 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

Answer: D
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12857
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: In Dives Corporation, 75% of the employees are customer service repres  [#permalink]

Show Tags

New post 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.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

GMAT Club Bot
Re: In Dives Corporation, 75% of the employees are customer service repres &nbs [#permalink] 26 Sep 2018, 21:58
Display posts from previous: Sort by

In Dives Corporation, 75% of the employees are customer service repres

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.