At company X, 44% of the employees that own laptops do not : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 16 Jan 2017, 23:14

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# At company X, 44% of the employees that own laptops do not

Author Message
TAGS:

### Hide Tags

Moderator
Joined: 01 Sep 2010
Posts: 3085
Followers: 783

Kudos [?]: 6508 [4] , given: 1007

At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

07 Jul 2012, 05:36
4
KUDOS
21
This post was
BOOKMARKED
00:00

Difficulty:

95% (hard)

Question Stats:

61% (04:39) correct 39% (04:24) wrong based on 289 sessions

### HideShow timer Statistics

At company X, 44% of the employees that own laptops do not own cellphone, and 30% of the employees that own cellphone do not own laptops. If the number of employees without laptops is 40% less than the employees with laptops, the what percent of the company's employees neither own a laptop nor a cellphone ??

A. 17.5
B. 22.5
C. 24
D. 26
E. 28

In this tricky problem I'm stuck on 30% of the employees. Is this question properly formulated , it seems a bit confused ....
[Reveal] Spoiler: OA

_________________

Last edited by Bunuel on 07 Jul 2012, 06:10, edited 2 times in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 36520
Followers: 7067

Kudos [?]: 92941 [8] , given: 10528

Re: At company X, 44% of the employees that own laptops do not o [#permalink]

### Show Tags

07 Jul 2012, 06:03
8
KUDOS
Expert's post
7
This post was
BOOKMARKED
carcass wrote:
At company X, 44% of the employees that own laptops do not own cellphone, and 30% of the employees that own cellphone do not own laptops. If the number of employees without laptops is 40% less than the employees with laptops, the what percent of the company's employees neither own a laptop nor a cellphone ??

A. 17.5
B. 22.5
C. 24
D. 26
E. 28

In this tricky problem I'm stuck on 30% of the employees. Is this question properly formulated , it seems a bit confused ....

Say x% of the employees own laptops. Since "the number of employees without laptops is 40% less than the employees with laptops", then $$100-x=0.6*x$$ --> $$x=62.5$$, so 62.5% of the employees own laptops.

Next:
"44% of the employees that own laptops do not own cellphone", so 56% of the employees that own laptops own cellphone, so own both laptops and cellphone --> 0.56*62.5={Both}.

"30% of the employees that own cellphone do not own laptops", so 70% of the employees that own cellphone own laptops, so own both laptops and cellphone --> 0.7*y={Both}, where y is percentage of the employees who own cellphone.

From above: 0.56*62.5=0.7*y --> y=50 and {Both}=0.7*y=35, so 50% of the employees own cellphone and 35% of the employees own both laptops and cellphone.

{Total}={Laptops}+{Cellphone}-{Both}+{Neither} --> 100=62.5+50-35+{Neither} --> {Neither}=22.5%.

_________________
Manager
Joined: 26 Dec 2011
Posts: 117
Followers: 1

Kudos [?]: 32 [1] , given: 17

Re: At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

09 Jul 2012, 13:40
1
KUDOS
Hello Bunuel, Can you tell me what am I doing wrong...

I assume that let the total number of ppl be x, then let the intersection be y and remaining be z...then .44x is the ppl with laptops but not cellphones; .3x is the number of ppl with cellphone but not laptops

Thus as per the equation: .3x+z <ppl who do not have laptops> = 0.6(.44x+y). ...so they are basically asking z/x*100 ....But this is not yielding the right answer
Moderator
Joined: 01 Sep 2010
Posts: 3085
Followers: 783

Kudos [?]: 6508 [1] , given: 1007

Re: At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

09 Jul 2012, 15:16
1
KUDOS
Considering the total of people with laptops are 100 and without are 60 so in total are 160

Then you have laptop and NO laptop in the tree. Then under laptop you have cell and No cell and the same under NO laptop

So, under laptop you have 0.56 % cellphone and 0.44 % under NO cell phone.

Under the second branch of tree you have people with cellphone that is X (you do not know nothing about this value) and HERE IS THE TRICKY part of this difficult problem.

When the statement says: 30% of people with cellphone do not have laptop you have to consider 30 % of 0.56 (people with cellphone under LAPTOP) + people with celphone under NO laptop ----->> y= 0.3 (y + 0.56x ).

Even though the amazing explanation of bunuel I fought with this part really tricky (at least for me) an entire evening.

Kudos if this helps you
_________________
Director
Affiliations: GMATQuantum
Joined: 19 Apr 2009
Posts: 588
Followers: 111

Kudos [?]: 428 [2] , given: 14

Re: At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

10 Jul 2012, 03:43
2
KUDOS
I spent some time writing this difficult problem and made sure the wording was not ambiguous and close to the types I have seen on the GMAT. I usually approach these overlapping set problems with a tree format, although many students prefer drawing a table. Nevertheless, it is a difficult problem that trips me up as well.

Here is a link to the problem that I had posted on my blog along with a video explanation:

http://www.gmatquantum.com/blog/gmat-we ... ion36.html

Dabral
Moderator
Joined: 01 Sep 2010
Posts: 3085
Followers: 783

Kudos [?]: 6508 [1] , given: 1007

Re: At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

10 Jul 2012, 03:50
1
KUDOS
dabral wrote:
I spent some time writing this difficult problem and made sure the wording was not ambiguous and close to the types I have seen on the GMAT. I usually approach these overlapping set problems with a tree format, although many students prefer drawing a table. Nevertheless, it is a difficult problem that trips me up as well.

Here is a link to the problem that I had posted on my blog along with a video explanation:

http://www.gmatquantum.com/blog/gmat-we ... ion36.html

Dabral

Dear Dabral , infact I read this question on your very well done website and I'm confortable too with tree diagram, infact using table I didn't spot the connection between cellphone . Compliments

At first look seemed wording (my fault). indeed a really good question. Thanks for your work.
_________________
Manager
Joined: 23 Aug 2011
Posts: 83
Followers: 3

Kudos [?]: 199 [8] , given: 13

Re: At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

13 Aug 2012, 04:36
8
KUDOS
3
This post was
BOOKMARKED
I solved it using table, although it took around 4 minutes but it was neat and accurate.
I initially took X for total laptop owners and Y for Total Cellphone owners.
Then solved for total people without laptops =.6X (laptop owners[X]-without laptop[WL]=40%of laptop owners[X])
Then the net total becomes X+.6X=1.6X.
Solve for Y under cellphone column i.e Y=.3Y+.56X resulting in Y=.8X and thats it.
In the end i got the value under "neither cellphone nor laptop column" = .36X.
and (.36X/1.6X)*100=22.5%
Attachments

tb.jpg [ 72.21 KiB | Viewed 5171 times ]

_________________

Whatever one does in life is a repetition of what one has done several times in one's life!
If my post was worth it, then i deserve kudos

Math Expert
Joined: 02 Sep 2009
Posts: 36520
Followers: 7067

Kudos [?]: 92941 [1] , given: 10528

Re: At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

11 Jun 2013, 07:24
1
KUDOS
Expert's post
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

Theory on Overlapping Sets:
how-to-draw-a-venn-diagram-for-problems-98036.html

All DS Overlapping Sets Problems to practice: search.php?search_id=tag&tag_id=45
All PS Overlapping Sets Problems to practice: search.php?search_id=tag&tag_id=65

_________________
Current Student
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 992
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Followers: 163

Kudos [?]: 1458 [1] , given: 227

Re: At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

15 Aug 2013, 07:15
1
KUDOS
It took 5 min.
complex problem but not difficult.
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Current Student
Joined: 28 Apr 2012
Posts: 311
Location: India
Concentration: Finance, Technology
GMAT 1: 650 Q48 V31
GMAT 2: 770 Q50 V47
WE: Information Technology (Computer Software)
Followers: 28

Kudos [?]: 391 [2] , given: 142

Re: At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

15 Aug 2013, 08:05
2
KUDOS
1
This post was
BOOKMARKED
carcass wrote:
At company X, 44% of the employees that own laptops do not own cellphone, and 30% of the employees that own cellphone do not own laptops. If the number of employees without laptops is 40% less than the employees with laptops, the what percent of the company's employees neither own a laptop nor a cellphone ??

A. 17.5
B. 22.5
C. 24
D. 26
E. 28

In this tricky problem I'm stuck on 30% of the employees. Is this question properly formulated , it seems a bit confused ....

Fact I
"44% of the employees that own laptops do not own cellphone, and 30% of the employees that own cellphone do not own laptops."

=> 56% of the employees that own laptops own cellphone as well, and 70% of the employees that own cellphone own laptops as well --> employees having both laptops and cellphones

=> 56% of laptop owners = 70% of cell phone owners
=> ratio of owners: Laptop(L):Cellphone(C) = 70/56= 5:4

Fact II

"the number of employees without laptops is 40% less than the employees with laptops"

People with Laptop = L%
People without Laptop = 0.6L%

L + 0.6L = 100 => L=62.5 of total employees

If 62.5% employees own Laptops, then from the ratio (4/5)*62.5 = 50% employees own Cellphones.

and 56% of Laptop owners own Cellphones => 62.5*(56/100) = 35% total employees own both Laptops and Cellphones

Now,
Laptop Owners = 62.5%
Cellphone Owners = 50%
Both Laptops and Cellphones owners = 35%

Owners of Either Laptop or Cellphones or Both = 62.5 + 50 - 35 = 77.5%
Employees with neither Laptop nor Cellphones = 100-77.5 = 22.5%

Ans B.
_________________

"Appreciation is a wonderful thing. It makes what is excellent in others belong to us as well."
― Voltaire

Press Kudos, if I have helped.
Thanks!

Intern
Joined: 21 Jun 2013
Posts: 44
Followers: 0

Kudos [?]: 29 [2] , given: 129

Re: At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

23 Oct 2013, 07:41
2
KUDOS
1
This post was
BOOKMARKED
Let number of employees who own a laptop be 100 => L=100
Therefore, the number of employees who do not own a laptop = L - 0.40L = 100 - 0.4*100 = 60
The number of employees who own a laptop but not a cell phone = 0.44*L = 44
Therefore, the number of employees who own both a laptop and a cellphone = 100-44 = 56
Let the number of employees who own a cellphone be c.
Given that 30% of c do not own a laptop. Therefore 70% of c own a laptop.
0.70*c = 56 => c=80
Therefore, number of employees who own neither a laptop nor a cellphone = 80-44 = 36.
Therefore, percentage of such employees = (36/160)*100 = 22.5
Attachments

table.jpg [ 19.94 KiB | Viewed 3722 times ]

Intern
Joined: 18 Mar 2014
Posts: 35
Followers: 0

Kudos [?]: 3 [0], given: 68

Re: At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

05 Oct 2014, 04:18
carcass wrote:
At company X, 44% of the employees that own laptops do not own cellphone, and 30% of the employees that own cellphone do not own laptops. If the number of employees without laptops is 40% less than the employees with laptops, the what percent of the company's employees neither own a laptop nor a cellphone ??

A. 17.5
B. 22.5
C. 24
D. 26
E. 28

In this tricky problem I'm stuck on 30% of the employees. Is this question properly formulated , it seems a bit confused ....

Bunuel

I am wondering where am i going wrong with my approach. Could you please help me pinning down the flaw

Y - total # of employees
Only Laptop = (44/ 100) Y
Only Cellphone = (30/ 100) Y
Laptop and Cellphone- W

So Laptop - ( 44/100)Y + W

Given condition:

{{[( 44/100)Y + W ] - [(30 / 100) Y] } / ( 44/100)Y + W ] } = (4/10)

On solving W - (3/50) Y

So adding (44/ 100) Y +(30/ 100) Y+(3/50) Y = 80/100 Y

Y - 80/100 Y = 20/100 Y So I am getting 20%
_________________

[color=#007ec6]Would love to get kudos whenever it is due.. Though the mountain is steep, nevertheless once i reach the finishing point, i would enjoy the view [/color]....

Manager
Joined: 13 Sep 2014
Posts: 94
WE: Engineering (Consulting)
Followers: 1

Kudos [?]: 28 [0], given: 51

Re: At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

28 Nov 2014, 22:41
lets make a venn diagram
Only laptop = x
Only cell phone = y
Both Together = z
Owns Neither = a

Now lets make equations

0.44(x+z) = x
0.3(y+z) = y

Solving these 2 we get
6x = 11y
lets assume y = 6 which gives x = 11, that will make z = 14

Now third equation says
6+a = 0.6 (11+14)
a = 9

Total Employee = 11+6 + 14 + 9 = 40

Percentage Employee = 9/40 * 100 = 22.5%
Director
Joined: 07 Aug 2011
Posts: 581
GMAT 1: 630 Q49 V27
Followers: 3

Kudos [?]: 405 [0], given: 75

At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

04 Jan 2015, 07:00
carcass wrote:
At company X, 44% of the employees that own laptops do not own cellphone, and 30% of the employees that own cellphone do not own laptops. If the number of employees without laptops is 40% less than the employees with laptops, the what percent of the company's employees neither own a laptop nor a cellphone ??

A. 17.5
B. 22.5
C. 24
D. 26
E. 28

In this tricky problem I'm stuck on 30% of the employees. Is this question properly formulated , it seems a bit confused ....

--------------------------LAPTOP---------------NO LAPTOP--------TOTAL
CELL PHONE-----------0.56X=0.7Y---------0.3Y-----------------Y-----
NO CELL PHONE-------0.44X---------------- ------------------- ---
TOTAL-------------------X-----------------------100-X--------------100--
GIVEN : ( X-100+X)/X = 0.4 ; X=62.5 ; WE CAN SOLVE FOR Y AND REST OF THE CELLS . ANSWERS IS 22.5
_________________

Thanks,
Lucky

_______________________________________________________
Kindly press the to appreciate my post !!

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13421
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: At company X, 44% of the employees that own laptops do not [#permalink]

### Show Tags

14 Jan 2016, 05:12
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: At company X, 44% of the employees that own laptops do not   [#permalink] 14 Jan 2016, 05:12
Similar topics Replies Last post
Similar
Topics:
2 Company X has 50 employees and company Y has 60 employees. 5 21 Jun 2016, 20:34
1 Of all the computers owned by Company X, 1/3 were 1 29 Jun 2014, 21:35
3 There are 135 employees in Company X. If the number of employees who 7 25 Jul 2008, 18:05
7 Of the 800 employees of company X, 70% have been with the 7 03 Aug 2007, 19:01
6 Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical 6 24 Mar 2007, 10:42
Display posts from previous: Sort by