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%
Answer: D
Source: Official guide
Each person who attended a company meeting was either a stockholder in the
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Let's use the Double Matrix Method.BTGModeratorVI wrote: ↑Fri Aug 14, 2020 1:08 pmEach 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%
Answer: D
Source: Official guide
This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions).
Here, we have a population of attendees, and the two characteristics are:
 stockholder or not a stockholder
 employee or not an employee
Since we're not told the total number of attendees, and since we're trying to find a PERCENTAGE, let's assign a nice value to the total number of attendees
Let's say there are 100 attendees
Finally, since we're looking for the percentage of attendees who were stockholders but NOT employees, let's place a red star in that box to remind us of what we're trying to determine.
62 percent of those who attended the meeting were stockholders
This also means that the other 38 percent are NOT stockholders
47 percent were employees
This also means that the other 53 percent are NOT employees
At this point, we appear to have no more information to add to our diagram.
However, we also know that each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both
This means that there were ZERO people who were neither a stockholder nor an employee.
So, we can add this to our diagram.
Since the two boxes in the righthand column must add to 53, we know that the top right box must have 53 people in it...
What percent were stockholders who were not employees?
Out of 100 attendees, 53 people were stockholders but not employees
In other words, 53% of the people were stockholders but not employees
Answer: D
This question type is VERY COMMON on the GMAT, so be sure to master the technique.
To learn more about the Double Matrix Method, watch this video: https://www.gmatprepnow.com/module/gmat ... ems?id=919
Once you’re familiar with this technique, you can attempt these additional practice questions:
Easy Problem Solving questions
 https://www.beatthegmat.com/financemajo ... 67425.html
Medium Problem Solving questions
 https://www.gmatprepnow.com/module/gmat ... /video/920
 https://www.beatthegmat.com/postedspeed ... 72374.html
 https://www.beatthegmat.com/motelt271938.html
 https://www.beatthegmat.com/oftheappli ... 70255.html
 https://www.beatthegmat.com/openingnigh ... 64869.html
 https://www.beatthegmat.com/atleast100 ... 74669.html
 https://www.beatthegmat.com/prblemsolvingt279424.html
Difficult Problem Solving questions
 https://www.gmatprepnow.com/module/gmat ... /video/946
 https://www.beatthegmat.com/ratioproblemt268339.html
 https://www.beatthegmat.com/overlapping ... 65223.html
 https://www.beatthegmat.com/fractionst264254.html
 https://www.beatthegmat.com/overlapping ... 64092.html
 https://www.beatthegmat.com/mba/2011/05/ ... question2
Easy Data Sufficiency questions
 https://www.gmatprepnow.com/module/gmat ... /video/943
 https://www.beatthegmat.com/forwhatper ... 70596.html
 https://www.beatthegmat.com/dsquestt187706.html
Medium Data Sufficiency questions
 https://www.beatthegmat.com/setsmatrixdst271914.html
 https://www.beatthegmat.com/eachofpeop ... 71375.html
 https://www.beatthegmat.com/amanufacturert270331.html
 https://www.beatthegmat.com/incostumef ... 69355.html
 https://www.beatthegmat.com/mba/2011/05/ ... question1
Difficult Data Sufficiency questions
 https://youtu.be/dsCeqF9Kbk8
 https://www.beatthegmat.com/doublesetm ... 71423.html
 https://youtu.be/dOZ9KM1m5Hs
 https://www.beatthegmat.com/setst269449.html
 https://www.beatthegmat.com/mba/2011/05/ ... question3
Cheers,
Brent
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Solution:BTGModeratorVI wrote: ↑Fri Aug 14, 2020 1:08 pmEach 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%
Answer: D
Source: Official guide
The percentage of attendees who are both a stockholder and an employee is 62 + 47  100 = 9 percent. Thus, the percentage of attendees who are stockholders only is 62  9 = 53 percent.
Answer: D
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