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Of a group of people surveyed in a political poll, 60 percent said tha

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Of a group of people surveyed in a political poll, 60 percent said tha  [#permalink]

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New post 17 Dec 2018, 08:48
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A
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Difficulty:

  5% (low)

Question Stats:

89% (01:19) correct 11% (01:22) wrong based on 108 sessions

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Of a group of people surveyed in a political poll, 60 percent said that they would vote for candidate R. Of those who said they would vote for R, 90 percent actually voted for R, and of those who did not say that they would vote for R, 5 percent actually voted for R. What percent of the group voted for R?

(A) 56%
(B) 59%
(C) 62%
(D) 65%
(E) 74%

Project PS Butler : Question #84


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Re: Of a group of people surveyed in a political poll, 60 percent said tha  [#permalink]

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New post 17 Dec 2018, 09:00
I solved using 2x2 matrix

Solution attached

IMO A 56%



HKD1710 wrote:
Of a group of people surveyed in a political poll, 60 percent said that they would vote for candidate R. Of those who said they would vote for R, 90 percent actually voted for R, and of those who did not say that they would vote for R, 5 percent actually voted for R. What percent of the group voted for R?

(A) 56%
(B) 59%
(C) 62%
(D) 65%
(E) 74%

Project PS Butler : Question #84


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Joined: 05 Oct 2018
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Re: Of a group of people surveyed in a political poll, 60 percent said tha  [#permalink]

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New post 17 Dec 2018, 09:23
1
Group = 100 people
60% said they would vote R = 60 people

Of the 60 people only 90% actually voted R = 54

40% said they would NOT vote R = 40 people

Of the 40 people who would vote NOT R, 5% voted R instead = 2

So 54+2= 56

A
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Re: Of a group of people surveyed in a political poll, 60 percent said tha  [#permalink]

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New post 17 Dec 2018, 09:33
1
Ans A:
Let's assume that there are 100 participants
60 responded to vote for R, Remaining din't respond to vote for R
eventually 90% of those 60 voted for R i.e. 54 voted for R
AND
5% of 40 also voted for R i.e. 2 more voted for R
now total votes for R = 54+2 =56 Ans.
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Re: Of a group of people surveyed in a political poll, 60 percent said tha  [#permalink]

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New post 14 Aug 2019, 23:00
Assume 100 people total
Therefore,

60*.9+40*.05=56

:)
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Re: Of a group of people surveyed in a political poll, 60 percent said tha   [#permalink] 14 Aug 2019, 23:00
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