In the Excel Manufacturing Company, 46 percent of the employ

Question

In the Excel Manufacturing Company, 46 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?

(A) 90%
(B) 87.5%
(C) 66.7%
(D) 50%
(E) 36%

Is the answer (E) or (A)?
My answer is (E). But in the book from where I've quated the question answer is given (A). How is it possible? Please help me by answering my question.

Bunuel · Answer

Check the matrix below: Untitled.png (non unionized women)/(total non unionized) = 36/40 = 0.9. Answer: A. Hope it's clear.

Qoofi · Answer

The answer is Option A
Lets say there are total 100 employees
Then men = 46 & women = 54
Unionized Emp = 60 & non unionized emp = 40
Men Unionized = .7 * 60 = 42
Women Unionized = 18

Women non-unionized = 54-18 = 36

Percentage of Women non unionized = 36/40 * 100 = 90%

Hope it helped.

Cheers
Qoofi

Konstantin1983 · Answer

Let's assume that there is total 100 people. We know that 46% are men and 54% are women ==> number of men is 46 and that of women is 54. Also we know that out of 100 60% are union members (i.e 60 people) and 70% of them are men ==> number of union men is 42, hence 18 are women. Since there is 54 women total,hence 36 women are non-union workers. Since total number of non-union workers is 40 (100-60) then women's share is (36/40)*100=90. Answer A

EMPOWERgmatRichC · Answer

Hi All,

This is an example of an Overlapping Sets question. The math behind it is fairly straightforward, but you will have to take thorough notes and answer the SPECIFIC question that is asked (which is NOT a standard question in these situations). The Tic-Tac-Toe board is a great way to keep track of the information (as Bunuel shows) and is arguably THE approach that you should use on most Overlapping Sets questions. This particular prompt focuses on information that we need to use the Overlapping Sets Formula though:

Total = GroupA + GroupB - Both + Neither

So here's how this approach can be applied....

We're told a number of facts (take notes and write down your deductions!):
At a company:
1) 46% percent of employees are men (thus, 54% are women)
2) 60% of employees are unionized (thus, 40% are NOT unionized)
3) 70% of the UNIONIZED are men. This means....
 A) 70%(60%) = 42% of EMPLOYEES are UNIONIZED MEN

We're asked what percent of NON-UNIONIZED workers are WOMEN

Using the Overlapping Sets Formula....

GroupA = Men
GroupB = Unionized
Both = Men & Unionized
Neither = Women & Non-unionized

Total = GroupA + GroupB - Both + Neither
100% = 46% + 60% - 42% + Neither
100% = 64% + Neither
36% = Neither

This tells us that 36% of EMPLOYEES are NON-UNIONIZED WOMEN.

This is NOT the answer to the question though. The question asks what percent of NON-UNIONIZED workers are WOMEN.

Non-unionized women = 36% of EMPLOYEES
Non-unionized workers = 40% of EMPLOYEES

36%/40% = 36/40 = 9/10 = 90%

Final Answer:  A

GMAT assassins aren't born, they're made,
Rich

sequiipsum · Answer

Ended up selecting 36% instead of 36/40 .. pheww!

In the Excel Manufacturing Company, 46 percent of the employ

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

In the Excel Manufacturing Company, 46 percent of the employ

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards