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

 It is currently 13 Oct 2019, 16:01

### 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

# The chart above shows the number of weeks of vacation taken annually

Author Message
TAGS:

### Hide Tags

Manager
Joined: 13 Sep 2016
Posts: 115
GMAT 1: 800 Q51 V51
The chart above shows the number of weeks of vacation taken annually  [#permalink]

### Show Tags

16 Oct 2016, 21:20
1
00:00

Difficulty:

25% (medium)

Question Stats:

80% (02:29) correct 20% (02:16) wrong based on 96 sessions

### HideShow timer Statistics

The chart above shows the number of weeks of vacation taken annually by those in the workforce. There are 200 million people in the work force, of whom 46% are female. If 20% of male workers take 1 week of vacation, how many female workers take 1 week of vacation?

a) 4.6 million
b) 10.8 million
c) 14.2 million
d) 21.6 million
e) 28.4 million

Attachments

Problem.PNG [ 1.05 MiB | Viewed 1377 times ]

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4753
Location: India
GPA: 3.5
Re: The chart above shows the number of weeks of vacation taken annually  [#permalink]

### Show Tags

16 Oct 2016, 21:52
alanforde800Maximus wrote:
The chart above shows the number of weeks of vacation taken annually by those in the workforce. There are 200 million people in the work force, of whom 46% are female. If 20% of male workers take 1 week of vacation, how many female workers take 1 week of vacation?

a) 4.6 million
b) 10.8 million
c) 14.2 million
d) 21.6 million
e) 28.4 million

Female workforce = 92 million (ie, 46% of 200 million )
Male workforce = 108 million ( 200 million - 92 million)

Total workforce taking 1 week vacation = 50 Million ( 25% of 200 million )

Quote:
If 20% of male workers take 1 week of vacation, how many female workers take 1 week of vacation?

20% males = 21.60 million male employees take 1 week vacation...
So, Female workforce taking 1 week vacation is = 28.40 (ie 50 - 21.60 )

Hence correct answer will undoubtedly be (E)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Manager
Joined: 14 Dec 2011
Posts: 72
Re: The chart above shows the number of weeks of vacation taken annually  [#permalink]

### Show Tags

11 Mar 2017, 06:30
Why can't we calculate the following way:-

We know 25% took 1 week vacation.
Out of 25%, 20% of male workers took 1 week which is = 21.6 million

Now, out of the remaining 25%, 5% is for female workers. So, 5% of 92 = 4.6 million.

Thus, A.
Can you please tell me what is wrong with this approach.
Intern
Joined: 22 Jan 2017
Posts: 32
Re: The chart above shows the number of weeks of vacation taken annually  [#permalink]

### Show Tags

01 Sep 2017, 22:01
I find it easiest to handle these problems with the two-way table. If you do so with this problem you will get that the proportion who are male and take 1 week is 10.8%.

The population as whole takes 25% so 14.2% of the female workers take 1 week of vacation.

14.2% of 200 million is 28.4 million (you could have even rounded off and estimated the men at 11% and the women at 14% as the answers are far enough apart.
Director
Joined: 14 Nov 2014
Posts: 600
Location: India
GMAT 1: 700 Q50 V34
GPA: 3.76
Re: The chart above shows the number of weeks of vacation taken annually  [#permalink]

### Show Tags

01 Sep 2017, 23:45
vinnik wrote:
Why can't we calculate the following way:-

We know 25% took 1 week vacation.
Out of 25%, 20% of male workers took 1 week which is = 21.6 million

Now, out of the remaining 25%, 5% is for female workers. So, 5% of 92 = 4.6 million.

Thus, A.
Can you please tell me what is wrong with this approach.

its 25% of all the work force
so 25/100 * 200 = 50 million ...(in 50 M we have 20% of male workforce and rest female )

given that 20% male took leave -- so 20/100 * 54/100*200M = 21.6 M
rest women = 50 M- 21.6 M = 28.4
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15225
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: The chart above shows the number of weeks of vacation taken annually  [#permalink]

### Show Tags

15 Jan 2018, 13:20
Hi All,

To properly answer this question, you have to make sure that you're using the proper terms. The "25%" who take 1 week of vacation is 25% of the TOTAL workers (but we do NOT know how many of that 25% are male or female).

Since 20% of MALE WORKERS took 1 week of vacation, you CAN calculate that number. It's....

(200 million)(.54)(.20) = 21.6 million

However, we are NOT given any information on the percent of WOMEN who took 1 week of vacation, so we have to subtract the totals to get that number...

25% of 200 million = 50 million took 1 week of vacation
21.6 million MALES took 1 week of vacation
50 million - 21.6 million = 28.4 million FEMALES took 1 week of vacation.

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com

The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Re: The chart above shows the number of weeks of vacation taken annually   [#permalink] 15 Jan 2018, 13:20
Display posts from previous: Sort by