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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Each person who attended a company (OG2016)
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boomgoesthegmat
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Since we are talking in percentages here, the total will always be 0.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
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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Matt@VeritasPrep
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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.
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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Jeff@TargetTestPrep
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We can use the equation: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%
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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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
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
