NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 07:07 It is currently 24 Apr 2024, 07:07
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

A group of 10 coworkers has agreed to equally share the cost of a gift

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618733 [7]
Given Kudos: 81586
Send PM
CAT Tests Forum Quiz Mode
A group of 10 coworkers has agreed to equally share the cost of a gift [#permalink] New post   05 Mar 2019, 04:23
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

82% (01:46) correct 18% (01:22) wrong based on 220 sessions
Hide Show timer Statistics
A group of 10 coworkers has agreed to equally share the cost of a gift costing d dollars. If w of the coworkers later decide not to contribute, how much more must each of the remaining coworkers pay toward the gift?


A. \(\frac{d}{10 - w}\)

B. \(\frac{d(w - 10)}{10w}\)

C. \(\frac{dw}{10(10 - w)}\)

D. \(\frac{10-w}{d}\)

E. \(\frac{10dw}{10 -w}\)
ShowHide Answer
Official Answer
C
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11169
Own Kudos [?]: 31883 [1]
Given Kudos: 290
Send PM
Reviews Badge
Re: A group of 10 coworkers has agreed to equally share the cost of a gift [#permalink] New post   23 May 2023, 10:09
1
Kudos
Expert Reply
Bunuel wrote:
A group of 10 coworkers has agreed to equally share the cost of a gift costing d dollars. If w of the coworkers later decide not to contribute, how much more must each of the remaining coworkers pay toward the gift?


A. \(\frac{d}{10 - w}\)

B. \(\frac{d(w - 10)}{10w}\)

C. \(\frac{dw}{10(10 - w)}\)

D. \(\frac{10-w}{d}\)

E. \(\frac{10dw}{10 -w}\)



0Lucky0, a very easy way in these questions is to substitute values for variables
Let w be 2 and d be 100.
So, each had to pay 100/10 or 10$
But two didn’t pay so 20$ is to be paid by remaining 10-2 or 8.
Extra each of these 8 had to pay = 20/8 = 2.5$

Substitute and see where you get 2.5 as answer.
C. \(\frac{dw}{10(10 - w)}\)= \(\frac{100*2}{10(10 - 2)}\)=2.5

Now why we are subtracting d/10 from d/(10-w)
d/(10-w) is what the remaining actually paid while d/10 is what each one would have paid initially.
We are looking at how MUCH MORE each had to pay. So you subtract what they were to pay from what they eventually paid.
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8019
Own Kudos [?]: 4095 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
A group of 10 coworkers has agreed to equally share the cost of a gift [#permalink] New post   05 Mar 2019, 11:26
d/10

new amount to be paid :
d/10-w

more amount to be paid d/10-w - d/10
i.e \(\frac{dw}{10(10 - w)}\)

IMO C

Bunuel wrote:
A group of 10 coworkers has agreed to equally share the cost of a gift costing d dollars. If w of the coworkers later decide not to contribute, how much more must each of the remaining coworkers pay toward the gift?


A. \(\frac{d}{10 - w}\)

B. \(\frac{d(w - 10)}{10w}\)

C. \(\frac{dw}{10(10 - w)}\)

D. \(\frac{10-w}{d}\)

E. \(\frac{10dw}{10 -w}\)
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18754
Own Kudos [?]: 22044 [1]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: A group of 10 coworkers has agreed to equally share the cost of a gift [#permalink] New post   10 Jan 2020, 12:35
1
Bookmarks
Expert Reply
Bunuel wrote:
A group of 10 coworkers has agreed to equally share the cost of a gift costing d dollars. If w of the coworkers later decide not to contribute, how much more must each of the remaining coworkers pay toward the gift?


A. \(\frac{d}{10 - w}\)

B. \(\frac{d(w - 10)}{10w}\)

C. \(\frac{dw}{10(10 - w)}\)

D. \(\frac{10-w}{d}\)

E. \(\frac{10dw}{10 -w}\)


The original amount paid by each coworker was d/10. After w of the coworkers did not pay for the gift, the new amount that each coworker had to pay became d/(10 - w). Thus, the additional amount that each coworker now had to pay was:

d/(10 - w) - d/10

10d/[10(10-w)] - d(10 - w)/[10(10-w)]

(10d - 10d + wd)/[10(10-w)]

wd/[10(10 - w)]

Answer: C
avatar
P
0Lucky0
Senior Manager
Senior Manager
Joined: 24 Dec 2022
Posts: 293
Own Kudos [?]: 149 [0]
Given Kudos: 222
Send PM
CAT Tests
Re: A group of 10 coworkers has agreed to equally share the cost of a gift [#permalink] New post   23 May 2023, 09:33
chetan2u, If possible, answer this question please. I answered A, I don't understand why we need to subtract d/10 from A. :(
GMAT Club Bot
gmatclubot
Re: A group of 10 coworkers has agreed to equally share the cost of a gift [#permalink]
23 May 2023, 09:33
Moderators:
Bunuel
Math Expert
92901 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