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## Sets

This topic has 2 member replies
rajs.kumar Senior | Next Rank: 100 Posts
Joined
09 Jun 2006
Posted:
87 messages
Upvotes:
2

#### Sets

Thu Oct 26, 2006 2:35 am
One night a certain motel rented 3/4 of its rooms, including 2/3 of its air-conditioned rooms. If 3/5 of its rooms were air-conditioned, what percent of the rooms that were not rented were air-conditioned.

A. 20%
B. 331/3%
C. 35%
D. 40%
E. 80%

ajith Legendary Member
Joined
21 Sep 2006
Posted:
1275 messages
Followed by:
2 members
Upvotes:
125
Test Date:
April 2010
Target GMAT Score:
740
Thu Oct 26, 2006 2:59 am
((1-2/3)*3/5)/(1-3/4)

=(1/5)/(1/4)=(4/5)=80%

So I go for E

countingdolls Junior | Next Rank: 30 Posts
Joined
02 Oct 2006
Posted:
13 messages
Thu Oct 26, 2006 7:31 am
80% it is.

In case you find it difficult to use the fractions, assume the total no of rooms to be a value, say 100........problem becomes easier

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