NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 16:36 It is currently 26 Apr 2024, 16:36
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

M18-18

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619240 [41]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
M18-18 [#permalink] New post   16 Sep 2014, 01:03
5
Kudos
36
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

57% (01:41) correct 43% (01:47) wrong based on 415 sessions
Hide Show timer Statistics
If 25% of a company's employees donate at least 4% of their salary to the Charity Fund, what percentage of the company's employees donate at least 5% of their salary to the Charity Fund?



(1) 20% of the company's employees donate at least 4% but less than 5% of their salary to the Charity Fund.

(2) 95% of the company's employees donate less than 5% of their salary to the Charity Fund.
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619240 [18]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re M18-18 [#permalink] New post   16 Sep 2014, 01:03
11
Kudos
6
Bookmarks
Expert Reply
Official Solution:


If 25% of a company's employees donate at least 4% of their salary to the Charity Fund, what percentage of the company's employees donate at least 5% of their salary to the Charity Fund?

Let:

x% donate less than 4%;

y% donate at least 4% but less than 5%;

z% donate at least 5%.

Observe that these groups do not intersect and \(x+y+z=100\).

Given: \(y+z = 25\%\). Question: \(z=\)?

(1) 20% of the company's employees donate at least 4% but less than 5% of their salary to the Charity Fund.

Given: \(y=20\%\). Therefore, \(y+z=20+z=25\%\), which results in \(z=5\%\). Sufficient.

(2) 95% of the company's employees donate less than 5% of their salary to the Charity Fund.

Given: \(x+y=95\%\). Therefore, \(x+y+z=95+z=100\%\), which results in \(z=5\%\). Sufficient.


Answer: D
General Discussion
avatar
qw1981
Manager
Manager
Joined: 27 Jan 2013
Posts: 169
Own Kudos [?]: 53 [2]
Given Kudos: 8
Location: United States
Concentration: Entrepreneurship, Marketing
Schools: Johnson '16 (S) Anderson '16 (S) McCombs '16 (WL) IESE '16 (II) Tepper '17 (WA) LBS '17 (S) Kenan-Flagler '17 (A)
GMAT 1: 730 Q49 V40
GPA: 3.5
WE:Supply Chain Management (Telecommunications)
Send PM
GMAT ToolKit User
Re: M18-18 [#permalink] New post   17 Feb 2015, 11:47
2
Kudos
Bunuel

Requesting you to clarify my doubt. In this question are we not assuming that every employee is making a donation.

lets assume there are 100 people. Then we know that 25 of them contribute >=4%...

From 2 we know that 95% contribute <=5%...

Can we not consider a possibility that the 25 employees contribute more than 4 and less than 5 are part of the 95% who contribute less than 5%.. In this possibility we will come to conclusion that 5% of the people are not making any contribution..
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619240 [3]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: M18-18 [#permalink] New post   18 Feb 2015, 04:14
2
Kudos
1
Bookmarks
Expert Reply
qw1981 wrote:
Bunuel

Requesting you to clarify my doubt. In this question are we not assuming that every employee is making a donation.

lets assume there are 100 people. Then we know that 25 of them contribute >=4%...

From 2 we know that 95% contribute <=5%...

Can we not consider a possibility that the 25 employees contribute more than 4 and less than 5 are part of the 95% who contribute less than 5%.. In this possibility we will come to conclusion that 5% of the people are not making any contribution..


X% of the employees who contribute less than 4 include those employees who did not contribute at all (contribute 0<4).

Check other discussion of this question:
https://gmatclub.com/forum/if-25-of-the ... 91729.html

Hope it helps.
User avatar
S
PrayasT
Intern
Intern
Joined: 26 Feb 2018
Posts: 41
Own Kudos [?]: 56 [0]
Given Kudos: 43
Location: India
Schools: Merage '21 (D) Marshall '21 (D) Babson '21 (A$) UC Davis '21 (A$)
GMAT 1: 640 Q45 V34
GPA: 3.9
WE:Web Development (Computer Software)
Send PM
Re: M18-18 [#permalink] New post   18 Apr 2018, 14:24
I think this is a high-quality question and I agree with explanation. I do agree that this is a good quality question, but it takes a little time to understand the flaw in the thought process which made me reject choice B. All thanks to Bunuel! Thanks man!
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619240 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: M18-18 [#permalink] New post   05 May 2023, 11:03
Expert Reply
I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
User avatar
S
hloonker
Manager
Manager
Joined: 12 Feb 2019
Posts: 91
Own Kudos [?]: 35 [0]
Given Kudos: 43
Send PM
Re: M18-18 [#permalink] New post   27 May 2023, 06:45
hi bunuel - why is this question tagged at a 700 to 750 level. what is the skill set, required for this problem, which is pegged so high?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619240 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: M18-18 [#permalink] New post   27 May 2023, 08:51
Expert Reply
hloonker wrote:
hi bunuel - why is this question tagged at a 700 to 750 level. what is the skill set, required for this problem, which is pegged so high?


The difficulty level of a question on the site is determined automatically based on various parameters collected from users' attempts, such as the percentage of correct answers and the time taken to answer the question. Therefore, this question's difficulty arises from users finding it challenging. It seems many struggle to manage multiple pieces of information and apply them effectively to the problem.
User avatar
P
BottomJee
DI Forum Moderator
Joined: 05 May 2019
Status:GMAT Club Team member
Affiliations: GMAT Club
Posts: 1030
Own Kudos [?]: 639 [0]
Given Kudos: 1003
Location: India
GMAT Focus 1:
645 Q82 V81 DI82
GMAT 1: 430 Q31 V19
GMAT 2: 570 Q44 V25
GMAT 3: 660 Q48 V33
GPA: 3.26
WE:Engineering (Manufacturing)
Send PM
Reviews Badge CAT Tests Forum Quiz Mode
Re M18-18 [#permalink] New post   09 Aug 2023, 06:12
I think this is a high-quality question and I agree with explanation.
User avatar
Parthpatil11590
Intern
Intern
Joined: 24 Oct 2023
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 7
Send PM
Re: M18-18 [#permalink] New post   18 Nov 2023, 10:44
The question stem does not mention if all 100% of the employees donate to the charity. So why has it been assumed in the solution?

Posted from my mobile device
GMAT Club Bot
gmatclubot
Re: M18-18 [#permalink]
18 Nov 2023, 10:44
Moderator:
Bunuel
Math Expert
92948 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