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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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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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Re: 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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Re: 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
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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 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.
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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 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;
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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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