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According to a survey conducted in two cities, A and B, 64%

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Joined: 25 Jun 2012
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According to a survey conducted in two cities, A and B, 64% [#permalink] New post 01 Nov 2012, 21:57
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D
E

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  35% (medium)

Question Stats:

76% (02:41) correct 24% (02:40) wrong based on 38 sessions
According to a survey conducted in two cities, A and B, 64% of the population is happy with the new president. If the ratio of the city A population to the city B population is 3:2 and the percentage of city A residents who are happy with the president is 70%, what percentage of city B population is happy with the president?

(A) 30%
(B) 50%
(C) 25%
(D) 55%
(E) 62%
[Reveal] Spoiler: OA
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Joined: 25 Jun 2012
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Re: According to a survey conducted in two cities, A and B, 64% [#permalink] New post 01 Nov 2012, 23:06
A/B = 3/2 = x suppose
thr for A=3x
B=2x

Total A+B=5x

Now 64% is happy with new presedent, 64%*(5x) =3.2x is happy with new present out of total population of A & B

now 70% of A is happy wid new pres, so 70%*(3x) = 2.1x

Total happy people are 3.2x
so B=3.2x-2.1x=1.1x is happy

Now B's population is 2x
1.1x is 55% of total population of B

so Ans : D
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Re: According to a survey conducted in two cities, A and B, 64% [#permalink] New post 02 Nov 2012, 00:35
actleader wrote:
According to a survey conducted in two cities, A and B, 64% of the population is happy with the new president. If the ratio of the city A population to the city B population is 3:2 and the percentage of city A residents who are happy with the president is 70%, what percentage of city B population is happy with the president?

(A) 30%
(B) 50%
(C) 25%
(D) 55%
(E) 62%


This is actually a weighted average question. Remember mixture questions?
Simply,

5*64 = 3*70 + 2*B
=>2B = 320-210 =110
=>B= 55

Ans D it is.
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Re: According to a survey conducted in two cities, A and B, 64%   [#permalink] 02 Nov 2012, 00:35
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