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Each person who attended a company meeting was either a stockholder in

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Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders who were not employees?

(A) 34%
(B) 38%
(C) 45%
(D) 53%
(E) 62%
[Reveal] Spoiler: OA

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Re: Each person who attended a company meeting was either a stockholder in [#permalink]

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ske wrote:
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders who were not employees?

(A) 34%
(B) 38%
(C) 45%
(D) 53%
(E) 62%



Let M represent the number of meeting attendees. Then, since 62% of M or 0.62M
were stockholders and 47% of M or 0.47M were employees, it follows that 0.62M +
0.47M = 1.09M were either stockholders, employees, or both. Since 1.09M exceeds
M, the excess 1.09M − M = 0.09M must be the number of attendees who were both
stockholders and employees, leaving the rest 0.62M − 0.09M = 0.53M, or 53%, of
the meeting attendees to be stockholders but not employees.

The correct answer is D. :-D
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Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders who were not employees?

(A) 34%
(B) 38%
(C) 45%
(D) 53%
(E) 62%

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Re: Each person who attended a company meeting was either a stockholder in [#permalink]

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Bunuel wrote:
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders who were not employees?

(A) 34%
(B) 38%
(C) 45%
(D) 53%
(E) 62%

Kudos for a correct solution.


Answer: Option D

Check the steps below
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Re: Each person who attended a company meeting was either a stockholder in [#permalink]

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Bunuel wrote:
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders who were not employees?

(A) 34%
(B) 38%
(C) 45%
(D) 53%
(E) 62%

Kudos for a correct solution.


Overlapping Sets question: Total (100) = 62 + 47 - 9 (Both)

Stockholder only = 62 - 9 = 53

Answer D.
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Each person who attended a company meeting was either a stockholder in [#permalink]

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Hope this representation helps
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Re: Each person who attended a company meeting was either a stockholder in [#permalink]

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New post 10 Mar 2017, 21:05
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suppose stockholder in the company = s
employee in the company = e
both = b
as per question
=> s + b = 62
=> e + b = 47
then
stockholder in the company + employee in the company - both = 100%
(s+b) + (e+b) -b = 100
=> b =9
now stockholders who were not employees => (s + b) - b
=> 62 -9 => 53
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Re: Each person who attended a company meeting was either a stockholder in [#permalink]

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it can be done like this

Overlapping Sets question: Total (100) = 62 + 47 - 9 (Both)

Stockholder only = 62 - 9 = 53

Answer D.
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Re: Each person who attended a company meeting was either a stockholder in [#permalink]

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Stockholders = 62, Employees = 47, both = 62+47-100 = 9.

Stockholders but not employees = 62-9/100 = 53%. Ans - D.
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Re: Each person who attended a company meeting was either a stockholder in [#permalink]

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New post 16 Jan 2018, 12:30
Hi All,

This is essentially an Overlapping Sets question that does not have a "neither" group. As such, it can be solved in a couple of different ways. Here's how you can use standard Overlapping Sets formula to get to the correct answer:

Total = (Group 1) + (Group 2) - (Both) + (Neither)

Group 1 = % that are stockholders
Group 2 = % that are employees

100% = 62% + 47% - (Both) + 0%
100% = 109% - (Both)
Both = 9%

So 9% of the total attendees are BOTH stockholders AND employees. We're asked for the percent who were stockholders but NOT employees:

62% - 9% = 53%

Final Answer:
[Reveal] Spoiler:
D


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Re: Each person who attended a company meeting was either a stockholder in   [#permalink] 16 Jan 2018, 12:30
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