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

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Intern
Joined: 03 Jul 2018
Posts: 36
Location: India
GMAT 1: 560 Q47 V28
GMAT 2: 560 Q47 V28
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GMAT 4: 560 Q47 V28
GPA: 3.88
In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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11 Oct 2018, 07:30
1
00:00

Difficulty:

45% (medium)

Question Stats:

69% (02:54) correct 31% (03:05) wrong based on 55 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
Math Expert
Joined: 02 Aug 2009
Posts: 7943
Re: In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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11 Oct 2018, 08:19
1
1
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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Joined: 28 May 2018
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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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12 Oct 2018, 23:54
chetan2u Bunuel
I have a doubt.

80% of people who live in villa own car too
I think "too" is incorrect .
Like now total people who have Both car and villa will become = 24+0.8V..
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Joined: 26 Feb 2016
Posts: 3337
Location: India
GPA: 3.12
In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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13 Oct 2018, 00:56
guptakashish02 wrote:
chetan2u Bunuel
I have a doubt.

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

Hi guptakashish02

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)

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Math Expert
Joined: 02 Aug 2009
Posts: 7943
Re: In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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13 Oct 2018, 06:41
guptakashish02 wrote:
chetan2u Bunuel
I have a doubt.

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

Hi..
So Villa and car
I have seen the movie Bourne Identity. I have read the book too.
So it adds up that movie + book
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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, 06:41
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