Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 10 Feb 2011
Posts: 108

20% of employees are women with fair hair. 40% of
[#permalink]
Show Tags
Updated on: 03 May 2012, 12:28
Question Stats:
82% (02:06) correct 18% (02:42) wrong based on 178 sessions
HideShow timer Statistics
20% of employees are women with fair hair. 40% of fairhaired employees are women. What percent of employees have fair hair? A. 25 B. 30 C. 50 D. 55 E. 60
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by banksy on 15 Mar 2011, 16:45.
Last edited by Bunuel on 03 May 2012, 12:28, edited 1 time in total.
Edited the question and added the OA



Intern
Joined: 06 Feb 2011
Posts: 6

Re: GC) 20% of employees are women with fair hair. 40% of fairh
[#permalink]
Show Tags
15 Mar 2011, 18:23
I came up with (C) 50
Think of 100 people total: From the first fact, 20 of these are women with fair hair. From the second fact, these 20 women make up 40% of the total fair haired population. We can then make a ratio of 60:40 fair haired men to fair haired women. This means that (60/40)*20 equals the number of fair haired men, which is 30 men with fair hair. Add this 30 to the 20 women and get 50 fair haired men and women out of 100 total men and women.
50%



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8399
Location: Pune, India

Re: GC) 20% of employees are women with fair hair. 40% of fairh
[#permalink]
Show Tags
15 Mar 2011, 19:32
banksy wrote: GC) 20% of employees are women with fair hair. 40% of fairhaired employees are women. What percent of employees have fair hair? (A) 25 (B) 30 (C) 50 (D) 55 (E) 60 20% of employees are women with fair hair. 40% of fairhaired employees are women. So, 20% * Employees = 40% * Fair Haired Employees (because both are equal to the number of fair haired women employees) (1/2) * Employees = Fair Haired Employees Answer (C)
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!



Retired Moderator
Joined: 16 Nov 2010
Posts: 1436
Location: United States (IN)
Concentration: Strategy, Technology

Re: GC) 20% of employees are women with fair hair. 40% of fairh
[#permalink]
Show Tags
15 Mar 2011, 21:22
Let x > Total # of employees and y > Employees with fair hair So y/x = ? 0.2x = women with fair hair 0.4y = women Both of these are equal, so 0.2x = 0.4y => y/x = 1/2, so the answer is 50.
_________________
Formula of Life > Achievement/Potential = k * Happiness (where k is a constant)
GMAT Club Premium Membership  big benefits and savings



Intern
Joined: 10 Apr 2012
Posts: 28
Location: Venezuela
Concentration: General Management, Finance
GPA: 3.07

Re: GC) 20% of employees are women with fair hair. 40% of fairh
[#permalink]
Show Tags
03 May 2012, 12:26
I think this is a better and faster approach. lets say the total number of employees is 100 20% of employees are women with fair hair so 20 women have fair hair out of 100
the problem says that 40% of the fairhaired employees are women and asks what percent of the employees (t) have fair hair
so ===> 0.4t=20 t=50



Math Expert
Joined: 02 Sep 2009
Posts: 50010

Re: GC) 20% of employees are women with fair hair. 40% of fairh
[#permalink]
Show Tags
03 May 2012, 12:40
santivilla wrote: I think this is a better and faster approach. lets say the total number of employees is 100 20% of employees are women with fair hair so 20 women have fair hair out of 100
the problem says that 40% of the fairhaired employees are women and asks what percent of the employees (t) have fair hair
so ===> 0.4t=20 t=50 Welcome to GMAT Club. There is a little problem with your reasoning: you assumed that the total # of employees is 100, so t in your solution should denote Fair Haired Employees. If 20% of employees are women with fair hair. 40% of fairhaired employees are women. What percent of employees have fair hair?A. 25 B. 30 C. 50 D. 55 E. 60 Say the total # of employees is 100 > then {Fair Haired Women}=0.2*100=20; Since 40% of fairhaired employees are women then 0.4*{Fair Haired Employees}=20 > {Fair Haired Employees}=50, which is 50% of 100. Answer: C.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 07 Feb 2008
Posts: 53
Location: United States
WE: Consulting (Computer Software)

Re: 20% of employees are women with fair hair. 40% of
[#permalink]
Show Tags
03 May 2012, 19:13
i answered this, good, but i took 3 mins...



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1829
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

20% of employees are women with fair hair. 40% of
[#permalink]
Show Tags
11 Dec 2014, 02:22
Say total employees = 100 Women with fair hair = 20 Say total fair hair employees = x Given that 40% of total fair hair employees are women So, \(\frac{40x}{100} = 20\) \(x = 20*\frac{100}{40} = 50\) Answer = C
_________________
Kindly press "+1 Kudos" to appreciate



Intern
Joined: 21 Aug 2015
Posts: 5
Location: India
GPA: 3.4
WE: Information Technology (Computer Software)

20% of employees are women with fair hair. 40% of
[#permalink]
Show Tags
28 Nov 2016, 08:27
Bunuel wrote: santivilla wrote: I think this is a better and faster approach. lets say the total number of employees is 100 20% of employees are women with fair hair so 20 women have fair hair out of 100
the problem says that 40% of the fairhaired employees are women and asks what percent of the employees (t) have fair hair
so ===> 0.4t=20 t=50 Welcome to GMAT Club. There is a little problem with your reasoning: you assumed that the total # of employees is 100, so t in your solution should denote Fair Haired Employees. If 20% of employees are women with fair hair. 40% of fairhaired employees are women. What percent of employees have fair hair?A. 25 B. 30 C. 50 D. 55 E. 60 Say the total # of employees is 100 > then {Fair Haired Women}=0.2*100=20; Since 40% of fairhaired employees are women then 0.4*{Fair Haired Employees}=20 > {Fair Haired Employees}=50, which is 50% of 100. Answer: C. Hi Bunuel, Isn't it wrong to say that 0.4*{Fair Haired Employees}=20 20 is the number that represents 'woman with fair hair' !!! I think the question is wrong. 60 is equally a correct answer.



Math Expert
Joined: 02 Sep 2009
Posts: 50010

Re: 20% of employees are women with fair hair. 40% of
[#permalink]
Show Tags
28 Nov 2016, 08:32
undefinedrahulraj wrote: Bunuel wrote: santivilla wrote: I think this is a better and faster approach. lets say the total number of employees is 100 20% of employees are women with fair hair so 20 women have fair hair out of 100
the problem says that 40% of the fairhaired employees are women and asks what percent of the employees (t) have fair hair
so ===> 0.4t=20 t=50 Welcome to GMAT Club. There is a little problem with your reasoning: you assumed that the total # of employees is 100, so t in your solution should denote Fair Haired Employees. If 20% of employees are women with fair hair. 40% of fairhaired employees are women. What percent of employees have fair hair?A. 25 B. 30 C. 50 D. 55 E. 60 Say the total # of employees is 100 > then {Fair Haired Women}=0.2*100=20; Since 40% of fairhaired employees are women then 0.4*{Fair Haired Employees}=20 > {Fair Haired Employees}=50, which is 50% of 100. Answer: C. Hi Bunuel, Isn't it wrong to say that 0.4*{Fair Haired Employees}=20 20 is the number that represents 'woman with fair hair' !!! I think the question is wrong. 60 is equally a correct answer. How did you get 60? Anyway, the question is correct and the answer is 50% as shown in several solutions above.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 25 Mar 2013
Posts: 247
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5

Re: 20% of employees are women with fair hair. 40% of
[#permalink]
Show Tags
21 Dec 2016, 18:09
Assume Total employees = 100 20 Employees = Fair hair women 40% of fair = women 40% of fair = 20 Fair hair = 50 C
_________________
I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you



NonHuman User
Joined: 09 Sep 2013
Posts: 8506

Re: 20% of employees are women with fair hair. 40% of
[#permalink]
Show Tags
05 Aug 2018, 09:45
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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: 20% of employees are women with fair hair. 40% of &nbs
[#permalink]
05 Aug 2018, 09:45






