75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 24% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?
Choose the correct option: A) 25% B) 40% C) 50% D) 55% E) 75%
Let x be the number of non-smoking rooms.   Let N be the total number of rooms at the inn.   40% of non-smoking rooms have a king-sized bed.   0.4x = 0.24N   x = 0.6N   The percentage of rooms which permit smoking is 1 - 0.6 = 40%   The answer is 40%.
<result>B</result>
75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 24% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?