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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: 35
Location: India
GMAT 1: 560 Q47 V28
GMAT 2: 560 Q47 V28
GMAT 3: 560 Q47 V28
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, 06:30
3
00:00

Difficulty:

35% (medium)

Question Stats:

78% (02:42) correct 22% (03:09) wrong based on 98 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: 8301
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, 07:19
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
Posts: 69
Re: In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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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 .
Like now total people who have Both car and villa will become = 24+0.8V..
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Posts: 3258
Location: India
GPA: 3.12
Re: In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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12 Oct 2018, 23:56
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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You've got what it takes, but it will take everything you've got
Math Expert
Joined: 02 Aug 2009
Posts: 8301
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, 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 .
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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Joined: 10 Oct 2019
Posts: 1
Re: In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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04 Nov 2019, 06:07
chetan2u wrote:
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..

it is possible to explain the above question with venn diagram.
Intern
Joined: 12 Feb 2018
Posts: 18
Re: In a community, 60% of people own car and 40% OF Car owners live in a  [#permalink]

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18 Jan 2020, 06:17
let the total number of people =100;
60 % own a car=60; without car=40;
40% of car owners live in villa=40% of 60=24---> which is the same as 80 % of people living in a villa with a car.
so, no. of people living in the villa would be=30; without villa=70;
People in villa without car=6;
people own a car without villa=60-24=36;
neither=People without a car - people in a villa without a car=34;
Re: In a community, 60% of people own car and 40% OF Car owners live in a   [#permalink] 18 Jan 2020, 06:17
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