One night a certain hotel rented 3/4 of its rooms, including 2/3 of their 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. 33 1/3
C. 35
D. 40
E. 80
Let's consider the total number of rooms to be 100.
Since "3/5 of the rooms were air conditioned", the number of
air conditioned rooms = 3/5*100 = 60.
Since "3/4 of the rooms were rented", the number of
rooms that were NOT rented = 1/4*100 = 25.
Since "2/3 of the air conditioned rooms were rented", the number of
air conditioned rooms that were NOT rented = 1/3*60 = 20.
The question asks to find what percent of the rooms that were not rented were air conditioned:
(air conditioned rooms that were NOT rented)/(rooms that were NOT rented)*100 = 20/25*100 = 4/5*100 = 80%.
Answer: E.