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At a small company, 70 percent of the employees are women, and 60 perc

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At a small company, 70 percent of the employees are women, and 60 perc [#permalink]

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New post 09 Jul 2015, 03:04
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At a small company, 70 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?

A. 5/16
B. 1/3
C. 9/20
D. 7/10
E. 5/7

Kudos for a correct solution.
[Reveal] Spoiler: OA

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Re: At a small company, 70 percent of the employees are women, and 60 perc [#permalink]

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New post 09 Jul 2015, 03:55
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Bunuel wrote:
At a small company, 70 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?

A. 5/16
B. 1/3
C. 9/20
D. 7/10
E. 5/7

Kudos for a correct solution.



Make a Double Matrix and Solve as mentioned below

Answer: Option E
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Re: At a small company, 70 percent of the employees are women, and 60 perc [#permalink]

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New post 09 Jul 2015, 04:57
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Bunuel wrote:
At a small company, 70 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?

A. 5/16
B. 1/3
C. 9/20
D. 7/10
E. 5/7

Kudos for a correct solution.


Solution -

Lets take total employees are 100.

Given that, Total Women = 70 and Total Married = 60.

Total Men = 100 - 70 = 30 and Single men = 2/3*30 = 20.

Married men = total men - single men = 30 - 20 = 10.
Married women = Total married - Married men = 60 - 10 = 50.

Fraction of women are married = Married women / Total Women = 50 / 70 = 5/7. ANS E
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Re: At a small company, 70 percent of the employees are women, and 60 perc [#permalink]

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New post 09 Jul 2015, 17:58
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I got the right answer but only by partially guessing since the only answer I recognized after the matrix was 5/7.

But the question stem had me confused because I was thinking Married Women/total employees. Am I reading something wrong?
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At a small company, 70 percent of the employees are women, and 60 perc [#permalink]

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New post 09 Jul 2015, 18:02
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xLUCAJx wrote:
I got the right answer but only by partially guessing since the only answer I recognized after the matrix was 5/7.

But the question stem had me confused because I was thinking Married Women/total employees. Am I reading something wrong?


Yes, the question asks you to provide a ratio of married women / total women (=5/7) and not married women/ total employees (this will incorrectly give you 1/2). The question stem asks about "what fraction of the women are married?". It does not say "what fraction of total employees are the women married?" (or a similar language).
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Re: At a small company, 70 percent of the employees are women, and 60 perc [#permalink]

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New post 11 Jul 2015, 10:12
Bunuel wrote:
At a small company, 70 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?

A. 5/16
B. 1/3
C. 9/20
D. 7/10
E. 5/7

Kudos for a correct solution.


Let no of employees=100
No of women=70
No of men=30
Married employees=60
2/3 of men i.e 20 are single
Married men=10
Married women=60-10=50
Single women=20
Single men=10
Reqd fraction=50/70=5/7
Answer E
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Posts: 43828
Re: At a small company, 70 percent of the employees are women, and 60 perc [#permalink]

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New post 13 Jul 2015, 01:58
Bunuel wrote:
At a small company, 70 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?

A. 5/16
B. 1/3
C. 9/20
D. 7/10
E. 5/7

Kudos for a correct solution.


800score Official Solution:

A good strategy when asked to find fractions or percentages of populations of unspecified size is to assume that the whole population is composed of 100 members. This makes it easier to handle. Therefore, suppose that there are 100 employees in the company. If 70% are women, then 30% are men. We then have 70 women and 30 men. If 2/3 of the men are single, then 1/3 of 30 (10 men) are married. 60% of 100 (or 60) employees are married. If 10 are men, then 50 are women. Therefore, the fraction of women who are married is 50/70, or 5/7.

The right answer is choice (E).
_________________

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?
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Re: At a small company, 70 percent of the employees are women, and 60 perc [#permalink]

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Re: At a small company, 70 percent of the employees are women, and 60 perc   [#permalink] 17 Jan 2018, 03:53
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