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Each person who attended a company (OG2016)

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Each person who attended a company (OG2016)

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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%

OA: D

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boomgoesthegmat 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%

OA: D
Since we are talking in percentages here, the total will always be 0.
Stockholders = 62%
Employees = 47%

Both = (62 + 47) - 100 = 9%
Hence stockholders who were not employees = only stockholders = 62 - 9 = 53%

Correct Option: D

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62 + 47 = 109, but the company can be at most 100%.

That means that 9% of the company are BOTH, since these people are counted TWICE, and send us over 100.

Hence 9% are stockholders and employees, meaning that 62% - 9%, or 53%, are solely stockholders.

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boomgoesthegmat 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%
We can use the equation:

Total = Stockholders + Employees - Both + Neither

100 = 62 + 47 - Both + 0

100 = 109 - Both

Both = 9

Thus, the percent of people at the meeting who were stockholders but not employees (i.e., stockholders only) is 62 - 9 = 53 percent.

Answer: D

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Jeffrey Miller Head of GMAT Instruction

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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: D

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

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Contact Rich at Rich.C@empowergmat.com

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