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..

_________________

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

GMAT Expert