Find all School-related info fast with the new School-Specific MBA Forum

It is currently 22 Jul 2014, 14:01

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

GMATPrep question

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 27 Feb 2010
Posts: 12
Followers: 0

Kudos [?]: 3 [0], given: 1

GMATPrep question [#permalink] New post 07 Mar 2010, 23:42
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

70% (01:46) correct 30% (00:30) wrong based on 19 sessions
Hi everyone,

I am struggling with this problem from GMATPrep test:

To celebrate a colleauge's retirement, T coworkers in an office agreed to share equally the cost of catered lunch.
If lunch costs X dollars and S of coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of lunch is completely paid?

a) X/T
b) X/(T-S)
c) SX/(T-S)
d) SX/T(T-S)
e) X(T-S)/T

Thanks!

[Reveal] Spoiler:
D
Kaplan GMAT Prep Discount CodesKnewton GMAT Discount CodesManhattan GMAT Discount Codes
Manager
Manager
User avatar
Joined: 18 Feb 2010
Posts: 174
Schools: ISB
Followers: 4

Kudos [?]: 103 [0], given: 0

GMAT Tests User
Re: GMATPrep question [#permalink] New post 07 Mar 2010, 23:52
vakuts wrote:
Hi everyone,

I am struggling with this problem from GMATPrep test:

To celebrate a colleauge's retirement, T coworkers in an office agreed to share equally the cost of catered lunch.
If lunch costs X dollars and S of coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of lunch is completely paid?

a) X/T
b) X/(T-S)
c) SX/(T-S)
d) SX/T(T-S)
e) X(T-S)/T

Thanks!

[Reveal] Spoiler:
D


Since no absolute values are given in the question we can replace the given parameters with assumed numbers,

Let Total colleagues be 100 (T)
Let total contribution be 500 (X) (point to note is that its total cost not per person)
Those who dont pay are S (30)

Per person cost = X/T = 500/100 = 5

So cost for those who failed to pay = (X/T) * S = SX/T = 30*5=150

The equation for people who would bear the total cost after S people fail = (T-S)=70

There fore the solution is (SX/T)/ (T-S) = SX/T(T-S) = 150/70

Answer D

Hope this helps !!!

_________________

CONSIDER AWARDING KUDOS IF MY POST HELPS !!!


Last edited by mustdoit on 08 Mar 2010, 00:06, edited 2 times in total.
Intern
Intern
avatar
Joined: 26 Sep 2009
Posts: 10
Followers: 0

Kudos [?]: 0 [0], given: 1

Re: GMATPrep question [#permalink] New post 08 Mar 2010, 00:00
to save time you can pick number :

T=6 , x= 12 and s= 2

if we say that 2 worker will not pay , that mean we will divide their required payment on others(4 worker out of 6).

that mean each of the 4 remaining workers should pay 1 .

so by subistitution we will find that D is the only that will give us 1 answer.
Senior Manager
Senior Manager
avatar
Joined: 01 Feb 2010
Posts: 268
Followers: 1

Kudos [?]: 34 [0], given: 2

GMAT Tests User
Re: GMATPrep question [#permalink] New post 12 Mar 2010, 08:31
vakuts wrote:
Hi everyone,

I am struggling with this problem from GMATPrep test:

To celebrate a colleauge's retirement, T coworkers in an office agreed to share equally the cost of catered lunch.
If lunch costs X dollars and S of coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of lunch is completely paid?

a) X/T
b) X/(T-S)
c) SX/(T-S)
d) SX/T(T-S)
e) X(T-S)/T

Thanks!

[Reveal] Spoiler:
D


New amount paid by T-S = X/(T-S)
Extra amount by everybody = X(1/(T-S) - 1/T)
= SX/T(T-S) hence D.
1 KUDOS received
Manager
Manager
User avatar
Joined: 13 Dec 2009
Posts: 79
Followers: 1

Kudos [?]: 32 [1] , given: 20

Re: GMATPrep question [#permalink] New post 12 Mar 2010, 22:14
1
This post received
KUDOS
T - total number of people
S- number of people that left
X - total amount $

\frac{X}{T} - $ that 1 person had to pay at first.
\frac{X}{T}*S - $ that should be shared
T-S - people who should share \frac{X}{T}*S

\frac{\frac{X}{T}*S}{T-S} - aditional payment for 1 person

simplify: \frac{\frac{X}{T}*S}{T-S}=\frac{XS}{T}*\frac{1}{(T-S)}
:wink:
1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 13 Dec 2009
Posts: 264
Followers: 10

Kudos [?]: 99 [1] , given: 13

GMAT Tests User Reviews Badge
Re: GMATPrep question [#permalink] New post 15 Mar 2010, 07:35
1
This post received
KUDOS
Answer is D XS/T(T-S)
Originally everyone has to pay = X/T
when s people failed to pay each remaining person has to pay = X/(T-S)
so additional amt = X/(T-S) - X/T = XS/T(T-S)

_________________

My debrief: done-and-dusted-730-q49-v40

Intern
Intern
avatar
Joined: 16 Mar 2010
Posts: 42
Followers: 0

Kudos [?]: 8 [0], given: 39

GMAT Tests User
Re: GMATPrep question [#permalink] New post 23 Jun 2010, 09:01
sidhu-

would you mind explaining how you simplify X/(T-S) - X/T = XS/T(T-S) ?

I got to the X/(T-S) - X/T but I cannot figure out how to get to the answer choice D.

Appreciate it!

-Sameer
Senior Manager
Senior Manager
User avatar
Joined: 13 Dec 2009
Posts: 264
Followers: 10

Kudos [?]: 99 [0], given: 13

GMAT Tests User Reviews Badge
Re: GMATPrep question [#permalink] New post 23 Jun 2010, 10:46
sameermunshi wrote:
sidhu-

would you mind explaining how you simplify X/(T-S) - X/T = XS/T(T-S) ?

I got to the X/(T-S) - X/T but I cannot figure out how to get to the answer choice D.

Appreciate it!

-Sameer


Sameer,

It's pretty simple.
We have => Additional amount to be paid by each = \frac{X}{(T-S)} - \frac{X}{T}

=> Take LCM => Denominator becomes T(T-S) and Numerator becomes XT - X(T-S)

=> So we have \frac{XT - X(T-S)}{T(T-S)}

=> \frac{XT -XT + XS}{T(T-S)}

=> XT gets cancelled in numerator => \frac{XS}{T(T-S)} => choice D.

_________________

My debrief: done-and-dusted-730-q49-v40

Re: GMATPrep question   [#permalink] 23 Jun 2010, 10:46
    Similar topics Author Replies Last post
Similar
Topics:
GMATPrep Question shinewine 4 19 Aug 2006, 02:02
gmatprep question gmat_newb 8 16 Aug 2006, 15:32
GMATPrep Question njvenkatesh 5 16 Jun 2006, 09:27
GMATPREP QUESTION axl_oz 3 02 Jun 2006, 10:44
GMATPrep Question BCC145 6 14 May 2006, 17:48
Display posts from previous: Sort by

GMATPrep question

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.