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## 500 PS

tagged by: rolandprowess

This topic has 1 expert reply and 3 member replies
dunkin77 Master | Next Rank: 500 Posts
Joined
01 Apr 2007
Posted:
269 messages

#### 500 PS

Wed Apr 04, 2007 11:24 am
Hi,

My answer was B) by... 0.5*0.9=0.54+0.05=0.59 but the corect answer was A) - can anyone help please?

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%

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### GMAT/MBA Expert

Matt@VeritasPrep GMAT Instructor
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Thu Nov 09, 2017 7:29 pm
(90% of 60) + (5% of 40) =>

.9 * 60 + .05 * 40 =>

54 + 2 =>

56

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### Top Member

Roland2rule Legendary Member
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Sat Nov 04, 2017 11:23 pm
Let the total number of people that took the survey be n. Also let x and y represent the total number of people who said they would vote for candidate R and those who didn't say they will vote for R respectively.
from the question,
x=60% of n
i.e x=0.6n and
y=(100-60)% of n = 40% of n
i.e y=0.4n
Now, the number of people who actually voted for R is = 90% of x + 5% of y
=0.9x + 0.05y
=0.9(0.6n) + 0.05(0.4n)
=0.54n + 0.02n
=0.56n
= $$\frac{56}{100}n$$
$$i.e\ 56\%\ of\ n$$

dunkin77 Master | Next Rank: 500 Posts
Joined
01 Apr 2007
Posted:
269 messages
Wed Apr 04, 2007 1:20 pm
ohh - I see - thank yoU!

gabriel Legendary Member
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Wed Apr 04, 2007 12:50 pm
dunkin77 wrote:
Hi,

My answer was B) by... 0.5*0.9=0.54+0.05=0.59 but the corect answer was A) - can anyone help please?

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%
5 % of people who did vote for R inspite of saying no wuld equal to =0.4*0.05 = 0.02

so ur answer is 0.6*0.9+0.02=0.56 ...A

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