NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 12:56 It is currently 25 Apr 2024, 12:56
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

An employer pays 3 workers P, Q and R a total of $610 a week. p is

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
nafishasan60
Intern
Intern
Joined: 18 Feb 2011
Posts: 30
Own Kudos [?]: 127 [6]
Given Kudos: 26
GPA: 3.91
Send PM
An employer pays 3 workers P, Q and R a total of $610 a week. p is [#permalink] New post   Updated on: 19 Feb 2024, 10:25
6
Bookmarks
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

80% (02:44) correct 20% (02:55) wrong based on 115 sessions
Hide Show timer Statistics
An employer pays 3 workers P, Q and R a total of $610 a week. p is paid 125% of the amount Q is paid and 80% of the amount R is paid. How much does P earn in a week?

A. $150
B. $175
C. $180
D. $195
E. $200­
ShowHide Answer
Official Answer
E

Originally posted by nafishasan60 on 02 Feb 2012, 08:51.
Last edited by Bunuel on 19 Feb 2024, 10:25, edited 2 times in total.
User avatar
G
mikemcgarry
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4452
Own Kudos [?]: 28572 [2]
Given Kudos: 130
Re: An employer pays 3 workers P, Q and R a total of $610 a week. p is [#permalink] New post   02 Feb 2012, 14:52
1
Kudos
1
Bookmarks
Expert Reply
p is paid 125% of the amount Q is paid . . . . ---> P = 1.25*Q = (5/4)*Q

This means Q = (4/5)*P

. . . .and 80% of the amount R is paid. ---> P = 0.80*R = (4/5)*R

This means R = (5/4)*P

P is now our common variable.

610 = P + Q + R = P + (4/5)*P + (5/4)*P

Find a common denominator . . .

610 = (20/20)*P + (16/20)*P + (25/20)*P = (61/20)*P

P = 610*(20/61) = 10*20 = 200

So, the answer is E.

Does that make sense? Please let me know if you have any questions on this.

Mike :)
avatar
subhajeet
Manager
Manager
Joined: 12 Jun 2010
Status:MBA Aspirant
Posts: 79
Own Kudos [?]: 247 [1]
Given Kudos: 1
Location: India
Concentration: Finance, International Business
WE:Information Technology (Investment Banking)
Send PM
Re: An employer pays 3 workers P, Q and R a total of $610 a week. p is [#permalink] New post   02 Feb 2012, 20:59
1
Kudos
Ans is E
p+q+r = 610
given p=1.25q and p=.80r putting these values in the above equation we get p=$200
User avatar
B
boomtangboy
Manager
Manager
Joined: 06 Jan 2012
Status:May The Force Be With Me (D-DAY 15 May 2012)
Posts: 165
Own Kudos [?]: 2095 [0]
Given Kudos: 33
Location: India
Concentration: General Management, Entrepreneurship
Schools: ISB '14 (D) INSEAD Jan '13 (D) Tuck '15 (D) Ross '15 (D) Duke '15 (D) NUS '15 (D) NTU '15 (WL) Ivey '15 (D) Johnson '16 (S)
Send PM
Reviews Badge
Re: An employer pays 3 workers P, Q and R a total of $610 a week. p is [#permalink] New post   03 Feb 2012, 00:23
Yup I got E as well but used fractions instead of decimals & the cancellation was easier
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [1]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: An employer pays 3 workers P, Q and R a total of $610 a week. p is [#permalink] New post   11 Sep 2019, 10:41
1
Bookmarks
nafishasan60 wrote:
An employer pays 3 workers P, Q and R a total of $610 a week. p is paid 125% of the amount Q is paid and 80% of the amount R is paid. How much does P earn in a week?

a) $150
b) $175
c) $180
d) $195
e) $200


Let R = 20 , Q = 16 & R = 25 (LCM of the percentages 125 % and 80% and then reducing the non important 0's)

Now, P + Q + R = 61

So, P earns 20/61*610 = 200, Answer must be (E)
User avatar
L
IanStewart
GMAT Tutor
Joined: 24 Jun 2008
Posts: 4128
Own Kudos [?]: 9244 [1]
Given Kudos: 91
 Q51  V47
Send PM
Re: An employer pays 3 workers P, Q and R a total of $610 a week. p is [#permalink] New post   11 Sep 2021, 11:30
Expert Reply
You could also notice that P earns 5/4 of Q, and 4/5 of R, so at least if we assume everything will turn out to be an integer here, P's earnings are going to be divisible by 4 and by 5, so P's earnings will be a multiple of 20. That only leaves two plausible answers, and it's easy enough to test the simplest one, 200, to confirm it's right.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32678
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: An employer pays 3 workers P, Q and R a total of $610 a week. p is [#permalink] New post   19 Feb 2024, 10:22
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
GMAT Club Bot
gmatclubot
Re: An employer pays 3 workers P, Q and R a total of $610 a week. p is [#permalink]
19 Feb 2024, 10:22
Moderators:
Bunuel
Math Expert
92914 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions