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# Of the people who attended a company meeting, 60% were stockholders an

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Math Expert
Joined: 02 Sep 2009
Posts: 49860
Of the people who attended a company meeting, 60% were stockholders an  [#permalink]

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09 Oct 2017, 08:54
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Difficulty:

55% (hard)

Question Stats:

52% (01:38) correct 48% (01:34) wrong based on 73 sessions

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Of the people who attended a company meeting, 60% were stockholders and 80% were employees. What percent were stockholders, who were not employees?

(1) 5/6 of the stockholders are also employees.
(2) 10% of the people attended the meeting are neither stockholders not employees.

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Of the people who attended a company meeting, 60% were stockholders an  [#permalink]

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Updated on: 09 Oct 2017, 09:45
A. I/6 of 60% of stockholders were not employees, so 10% are just stockholders. Sufficient

B. Using set theory. T = A + B -AnB + Neither

100% = 60%+80%-AnB+ 10%
100% =150%-AnB
AnB = 50%
Sufficient. Don’t need all these calculations. Just know that you can get AnB with info given

Therefore D.
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Originally posted by zvazviri on 09 Oct 2017, 09:18.
Last edited by zvazviri on 09 Oct 2017, 09:45, edited 1 time in total.
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Re: Of the people who attended a company meeting, 60% were stockholders an  [#permalink]

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09 Oct 2017, 09:33
Statement 1. Since 5/6 of 60% or 50% are stockholders as well as employees, it follows that (60-50) = 10% are just stockholders and not employees. Sufficient.

Statement 2. 10% are neither stockholders nor employees. This means that 90% of people are either stockholders or employees or both. We are given that 60% are stockholders and 80% are employees, so it means that (60+80-90) = 50% are both. Thus 60-50 = 10% are those which are just stockholers, and not employees. Sufficient.

Re: Of the people who attended a company meeting, 60% were stockholders an &nbs [#permalink] 09 Oct 2017, 09:33
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# Of the people who attended a company meeting, 60% were stockholders an

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