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In a community, 60% of people own car and 40% OF Car owners live in a

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In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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New post 11 Oct 2018, 06:30
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Question Stats:

72% (02:55) correct 28% (02:48) wrong based on 43 sessions

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In a community, 60% of people own car and 40% OF Car owners live in a villa. If 80% of people who live in villa own car too, then what % of people of community

1--Live in villa
2-- own car but do not live in villa
3--live in villa but do not own car
4 neither live in villa nor own car

A. 24, 34, 6 10
B. 24, 36, 8, 12
C. 24, 36, 8, 24
D. 30, 36, 6, 34
E. 30, 34, 6,36
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Re: In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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New post 11 Oct 2018, 07:19
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shard87 wrote:
In a community, 60% of people own car and 40% OF Car owners live in a villa. If 80% of people who live in villa own car too, then what % of people of community

1--Live in villa
2-- own car but do not live in villa
3--live in villa but do not own car
4 neither live in villa nor own car

A. 24, 34, 6 10
B. 24, 36, 8, 12
C. 24, 36, 8, 24
D. 30, 36, 6, 34
E. 30, 34, 6,36


Let total be 100.
1) 60% own car, so 60 own car., So C=60
Both car and villa =B=40% of 60=24
2) also 80% of staying in villa have car =B= 80%of V=24...
V=24*100/80=30

Let's work on the questions asked..

1--Live in villa
30 out of 100 = 30%

2-- own car but do not live in villa
C-B=60-24=36 of 100 or 36%

3--live in villa but do not own car
C-B=30-24=6, so 6%

4 neither live in villa nor own car
100-(C+V-B)=100-( 60+30-24)=100-66=34

D

Draw a Venn diagram . It will be even more easy..
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


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In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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New post 12 Oct 2018, 22:54
chetan2u Bunuel
I have a doubt.

80% of people who live in villa own car too
I think "too" is incorrect .
Because it means addition.
Like now total people who have Both car and villa will become = 24+0.8V..
Please clarify. Thanks
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In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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New post 12 Oct 2018, 23:56
guptakashish02 wrote:
chetan2u Bunuel
I have a doubt.

80% of people who live in villa own car too
I think "too" is incorrect .
Because it means addition.
Like now total people who have Both car and villa will become = 24+0.8V..
Please clarify. Thanks


Hi guptakashish02

Your confusion is understandable.

IMO, what the statement would translate to is that 80% of the people who live in a villa
would also have a car - so it essentially means that 80% of those who live in a villa have
both a car and a villa. So the equation is \(0.8V = 24\) -> \(V = \frac{240}{8} = 30\)(who own villas)

Hope that clears your confusion
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Re: In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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New post 13 Oct 2018, 05:41
guptakashish02 wrote:
chetan2u Bunuel
I have a doubt.

80% of people who live in villa own car too
I think "too" is incorrect .
Because it means addition.
Like now total people who have Both car and villa will become = 24+0.8V..
Please clarify. Thanks


Hi..
Yes too means addition..
But what is being added...car
So Villa and car
I have seen the movie Bourne Identity. I have read the book too.
So it adds up that movie + book
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


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Re: In a community, 60% of people own car and 40% OF Car owners live in a   [#permalink] 13 Oct 2018, 05:41
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