GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Apr 2019, 21:29

### 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

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

# If 25% of the company's employees contribute at least 4% of their

Author Message
TAGS:

### Hide Tags

Manager
Joined: 05 Jun 2014
Posts: 61
GMAT 1: 630 Q42 V35
If 25% of the company's employees contribute at least 4% of their  [#permalink]

### Show Tags

16 Jan 2015, 07:40
11
00:00

Difficulty:

55% (hard)

Question Stats:

60% (01:43) correct 40% (02:20) wrong based on 88 sessions

### HideShow timer Statistics

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

(1) 20% of the company's employees contribute at least 4% but less than 5% of their salary to the Charity Fund
(2) 95% of the company's employees contribute less than 5% of their salary to the Charity Fund.

Can somebody explain how is statement 2 sufficient?? Arent we assuming that all employees must contribute, as the question doesnt specify any such condition., when we consider statement 2 as sufficient. Bunuel

Source: Gmat club tests
Math Expert
Joined: 02 Sep 2009
Posts: 54401
Re: If 25% of the company's employees contribute at least 4% of their  [#permalink]

### Show Tags

16 Jan 2015, 07:44
2
2
If 25% of the company's employees contribute at least 4% of their salary to the Charity Fund, what percent of the company's employees contribute at least 5% of their salary to the Charity Fund?

Say:

X% contribute less than 4%;

Y% contribute at least 4% but less than 5%;

Z% contribute at least 5%.

Note that these groups don't have intersections and $$X+Y+Z=100$$.

Given: $$Y+Z=25\%$$. Question: $$Z=$$?

(1) 20% of the company's employees contribute at least 4% but less than 5% of their salary to the Charity Fund. Given: $$Y=20\%$$. Hence, $$Y+Z=20+Z=25\%$$, which gives $$Z=5\%$$. Sufficient.

(2) 95% of the company's employees contribute less than 5% of their salary to the Charity Fund. Given: $$X+Y=95\%$$. Hence, $$X+Y+Z=95+Z=100\%$$, which gives $$Z=5\%$$. Sufficient.

M18-18
_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13958
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If 25% of the company's employees contribute at least 4% of their  [#permalink]

### Show Tags

16 Jan 2015, 13:26
2
2

Certain DS questions are more about organization than math-skills. While this question might look complex, it's worth noting that all the references to 4% or 5% are LABELS - they're not part of any calculation that you have to do.

We're told that 25% of the employees at a company give at least 4% of their salaries to a charity. We're asked what PERCENTAGE give at least 5%.

From the prompt, there are a couple of things that you might notice:
1) Since 25% gives AT LEAST 4%....75% give LESS than 4% (and possibly 0%).
2) Since 25% gives AT LEAST 4%.....NO MORE THAN 25% give AT LEAST 5%.

To help organize your information, you might consider TESTing VALUES, so that you can put all of this data in terms of real people. To make things easy, let's say there are 100 total employees. This means that 25 employees gave at least 4% to charity.

Fact 1: 20% of employees contribute 4%-5% to charity.

IF....
Total Employees = 100
25 gave at least 4%
20 gave 4%-5%
25 - 20 = 5 gave MORE than 5%
5/100 = 5%

Changing the total number of employees will have an equivalent effect on the other totals.

IF...
Total Employees = 200
50 gave at least 4%
40 gave 4%-5%
50 - 40 = 10 gave MORE than 5%
10/200 = 5/100 = 5%

Fact 1 is SUFFICIENT

Fact 2: 95% of employees contribute LESS THAN 5%

This is really great information, since it tells us about ALL of the employees that we're NOT interested in. 95% gave LESS than 5%.....so who's left? The people who gave 5% OR MORE.

100% - 95% = 5%
Fact 2 is SUFFICIENT

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
Intern
Joined: 09 Jan 2013
Posts: 1
Re: If 25% of the company's employees contribute at least 4% of their  [#permalink]

### Show Tags

20 Apr 2015, 10:16
If 25% of the company's employees contribute at least 4% of their salary to the Charity Fund, what percent of the company's employees contribute at least 5% of their salary to the Charity Fund?

(1) 20% of the company's employees contribute at least 4% but less than 5% of their salary to the Charity Fund
(2) 95% of the company's employees contribute less than 5% of their salary to the Charity Fund.

Can somebody explain how is statement 2 sufficient?? Arent we assuming that all employees must contribute, as the question doesnt specify any such condition., when we consider statement 2 as sufficient.

Source: Gmat club tests

Can anybody please explain the point made by sunaimshadmani? Why can we assume that ALL employees must contribute, as the question DOESNOT specify that.

Thanks
Math Expert
Joined: 02 Sep 2009
Posts: 54401
Re: If 25% of the company's employees contribute at least 4% of their  [#permalink]

### Show Tags

20 Apr 2015, 10:24
1
marianonunes wrote:
If 25% of the company's employees contribute at least 4% of their salary to the Charity Fund, what percent of the company's employees contribute at least 5% of their salary to the Charity Fund?

(1) 20% of the company's employees contribute at least 4% but less than 5% of their salary to the Charity Fund
(2) 95% of the company's employees contribute less than 5% of their salary to the Charity Fund.

Can somebody explain how is statement 2 sufficient?? Arent we assuming that all employees must contribute, as the question doesnt specify any such condition., when we consider statement 2 as sufficient.

Source: Gmat club tests

Can anybody please explain the point made by sunaimshadmani? Why can we assume that ALL employees must contribute, as the question DOESNOT specify that.

Thanks

Those who don't contribute fall into x%, which contributed less than 4% (0% < 4%).
_________________
Manager
Joined: 03 Sep 2014
Posts: 75
Concentration: Marketing, Healthcare
Re: If 25% of the company's employees contribute at least 4% of their  [#permalink]

### Show Tags

20 Apr 2015, 10:37
If 25% of the company's employees contribute at least 4% of their salary to the Charity Fund, what percent of the company's employees contribute at least 5% of their salary to the Charity Fund?

(1) 20% of the company's employees contribute at least 4% but less than 5% of their salary to the Charity Fund
(2) 95% of the company's employees contribute less than 5% of their salary to the Charity Fund.

Can somebody explain how is statement 2 sufficient?? Arent we assuming that all employees must contribute, as the question doesnt specify any such condition., when we consider statement 2 as sufficient. Bunuel

Source: Gmat club tests

Let no. of employees = 100

A) 20 employees contribute between 4%-5%, in the question stem, 25 contribute at least 4% => rest 5 must contribute at least 5% -- Sufficient.

B) 95 employees contribute less than 5%, rest 5 must be contributing at least 5% -- Sufficient

Non-Human User
Joined: 09 Sep 2013
Posts: 10578
Re: If 25% of the company's employees contribute at least 4% of their  [#permalink]

### Show Tags

18 Mar 2019, 04:20
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.
_________________
Re: If 25% of the company's employees contribute at least 4% of their   [#permalink] 18 Mar 2019, 04:20
Display posts from previous: Sort by