Last visit was: 09 Dec 2025, 03:14 It is currently 09 Dec 2025, 03:14
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

At Didymus Corporation there are just two classes of employe

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

avatar
rajlal
Intern
Intern
Joined: 22 Aug 2018
Posts: 29
Own Kudos [?]: 82 [3]
Given Kudos: 0
Send PM
At Didymus Corporation there are just two classes of employe [#permalink] New post   Updated on: 12 Jan 2019, 06:28
1
2
Bookmarks
00:00

Question Stats:

80% (02:03) correct 19% (02:55) wrong based on 21 sessions

Hide Show timer Statistics

At Didymus Corporation there are just two classes of employees: Silver and Gold. The average salary of Gold is $56000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees then the average salary for the company is higher than the average salary for the silver by

A) 8000
B) 15000
C) 25000
D) 32000
E) 36000
ShowHide Answer
Official Answer
D

Originally posted by rajlal on 20 Sep 2018, 07:33.
Last edited by chetan2u on 12 Jan 2019, 06:28, edited 1 time in total.
Formatted the question
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 34127
Own Kudos [?]: 40589 [0]
Given Kudos: 26636
Send PM
Re: At Didymus Corporation there are just two classes of employe [#permalink] New post   20 Sep 2018, 07:50
Expert Reply
The ratio of silver employees to gold employees is

silver : gold = 120:160 = 12:16 = 3:4

If we divide the distance between the two averages by 7, then silver will be “four parts” away from the total average, and gold will be “three parts” away.

The difference is $56,000, so that divided by 7 is $8000. That’s one part. Four parts would be $32,000, which has to be the distance from the silver average to the total average.

C
avatar
rajlal
Intern
Intern
Joined: 22 Aug 2018
Posts: 29
Own Kudos [?]: 82 [0]
Given Kudos: 0
Send PM
Re: At Didymus Corporation there are just two classes of employe [#permalink] New post   20 Sep 2018, 11:32
Carcass wrote:
The ratio of silver employees to gold employees is

silver : gold = 120:160 = 12:16 = 3:4

If we divide the distance between the two averages by 7, then silver will be “four parts” away from the total average, and gold will be “three parts” away.

The difference is $56,000, so that divided by 7 is $8000. That’s one part. Four parts would be $32,000, which has to be the distance from the silver average to the total average.

C

How can we take the algebraic approach?
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 34127
Own Kudos [?]: 40589 [0]
Given Kudos: 26636
Send PM
Re: At Didymus Corporation there are just two classes of employe [#permalink] New post   20 Sep 2018, 11:33
Expert Reply
it is cumbersome. You should always try to use the fastest approach.

Regards
User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11884 [0]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
Re: At Didymus Corporation there are just two classes of employe [#permalink] New post   20 Sep 2018, 15:53
1
Expert Reply
rajlal wrote:
How can we take the algebraic approach?


Assume a salary for Silver employees=x

Now then salary of gold employees = x + $56,000.


Average salary of of comapny is = \(\frac{160 (x+56000)+ 120x}{160+120}\)

Difference between comapany average and silver =\(\frac{160 (x+56000)+ 120x}{160+120}-x\)=\(\frac{160 (x+56000)+ 120x -(160+120)x}{160+120}\)= \(\frac{160 (56000)}{160+120}=32000\)
avatar
AE
Director
Director
Joined: 09 Nov 2018
Posts: 505
Own Kudos [?]: 136 [0]
Given Kudos: 0
Send PM
Re: At Didymus Corporation there are just two classes of employe [#permalink] New post   10 Jan 2019, 21:02
rajlal wrote:
At Didymus Corporation there are just two classes of employees: Silver and Gold. The average salary of Gold is $56000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees then the average salary for the company is higher than the average salary for the silver?

A) 8000
B) 15000
C) 25000
D) 32000
E) 36000

Please fix typo
should be then the average salary for the company is how much higher than the average salary for the silver employees
avatar
AE
Director
Director
Joined: 09 Nov 2018
Posts: 505
Own Kudos [?]: 136 [0]
Given Kudos: 0
Send PM
Re: At Didymus Corporation there are just two classes of employe [#permalink] New post   10 Jan 2019, 21:21
MAGOOSH OFFICIAL SOLUTION wrote:
We can use this if we pick a value for the average salary for the silver employees. It actually doesn’t matter what value we pick, because averages will fall in the same relative places regardless of whether all the individual values are slid up and down the number line. The easiest value by far to pick is zero. Let’s pretend that the silver folks make $0, and the gold folks make $56. (I divided dollars by 1000 for simplicity).

Now, we also have to simplify the numbers of employees. We could reduce the number of employees as long as we preserve the relative ratio.

silver : gold = 120:160 = 12:16 = 3:4

So everything would be the same if we just had 3 silver employees and 4 gold employees. OK, now find the sums.

silver = 3*0 = 0

gold = 4*56

I am not even going to bother to multiply that out, because we know that the next step is to divide by 7, the total number of employees.

total average = 4*56/7 = 4*8 = 32

The average salary is $32,000, which is $32,000 higher than the average for the silver employees. Answer = (C)
avatar
rajlal
Intern
Intern
Joined: 22 Aug 2018
Posts: 29
Own Kudos [?]: 82 [0]
Given Kudos: 0
Send PM
Re: At Didymus Corporation there are just two classes of employe [#permalink] New post   12 Jan 2019, 04:03
AE wrote:
rajlal wrote:
At Didymus Corporation there are just two classes of employees: Silver and Gold. The average salary of Gold is $56000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees then the average salary for the company is higher than the average salary for the silver?

A) 8000
B) 15000
C) 25000
D) 32000
E) 36000

Please fix typo
should be then the average salary for the company is how much higher than the average salary for the silver employees



The question is correct from the source. If you have any problem I expect you to take it with Magoosh team and not bicker it with me.

Bye bye
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 34127
Own Kudos [?]: 40589 [0]
Given Kudos: 26636
Send PM
Re: At Didymus Corporation there are just two classes of employe [#permalink] New post   12 Jan 2019, 04:35
Expert Reply
Guys no need to pick some wasteful dull fights.

Often the questions from NON-official resources have typos.

As well, those from OFFICIAL resources.

As such, it is just a question. Wed o have on the board countless questions more. Move on.

Thank you
avatar
chetan2u
Supreme Moderator
Joined: 01 Nov 2017
Posts: 371
Own Kudos [?]: 506 [0]
Given Kudos: 0
Send PM
Re: At Didymus Corporation there are just two classes of employe [#permalink] New post   12 Jan 2019, 06:27
Expert Reply
rajlal wrote:
At Didymus Corporation there are just two classes of employees: Silver and Gold. The average salary of Gold is $56000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees then the average salary for the company is higher than the average salary for the silver BY ?

A) 8000
B) 15000
C) 25000
D) 32000
E) 36000


you can use weighted average method too...

........gold.............silver
average..x............x+56000...
weights... 160.............120..

so company'S AVERAGE = \(x+56000*\frac{120}{120+160}=x+56000*\frac{120}{280}=x+200*120=x+24000\)

difference in silver and company's average = (x+56000)-(x+24000)=x+56000-x-24000=32000
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5672
Own Kudos [?]: 81 [0]
Given Kudos: 0
Send PM
Re: At Didymus Corporation there are just two classes of employe [#permalink] New post   20 Jan 2025, 23:25
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
Re: At Didymus Corporation there are just two classes of employe [#permalink]
20 Jan 2025, 23:25
Moderators:
adewale223
GRE Instructor
135 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1141 posts
VibhuAnurag
GRE Instructor
234 posts
Nsp10
Moderator
39 posts
tyrant100
GRE Forum Moderator
125 posts

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

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact