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

Question

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%

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

Archit3110 · Answer

I solved using 2x2 matrix

Solution attached

IMO A 56%

stesmit · Answer

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

raj8126 · Answer

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.

joohwangie · Answer

Assume 100 people total Therefore, 60*.9+40*.05=56

ScottTargetTestPrep · Answer

We can let the number of people in the group be 200. So 0.6 x 200 = 120 said that they would vote for candidate R, and 200 - 120 = 80 said that they would not. Of the 120 people who said that they would vote for candidate R, 0.9 x 120 = 108 actually did vote for R. Of the 80 people who said that they would not, 0.05 x 80 = 4 actually did vote for R. Therefore, the percent of the people who voted for R is (108 + 4)/200 = 112/200 = 56/100 = 56%.

Answer: A

GMATinsight · Answer

Answer: Option A

Video solution by  GMATinsight

https://www.youtube.com/watch?v=WuOkSNL6k2k

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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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards