In an organization there were two waiting rooms P&Q with different num

Question

In an organization, there were two waiting rooms P&Q with a different number of chairs in them. Initially, equal number of people occupied 1/5th of the chairs in P and 3/4th of the chairs in Q. Later, if people from both the rooms were merged in a third room N which was of same capacity as that of P, what fraction of the room N was filled?

A. 1/10
B. 2/5
C. 3/5
D. 2/3
E. None of these

A. 1/10
B. 2/5
C. 3/5
D. 2/3
E. None of these

KanishkM · Answer

1/5 * P = 3/4 Q

P = 15/4 Q

Now just plug in some value, say Q = 12, P will be 45

Room 1 =1/5 *45 = 9
Room 2 = 3/4 *12 = 9

Room N = 18/45 = 2/5

B

ScottTargetTestPrep · Answer

Solution:

We can let 3 be the number of people currently occupying room P and room Q. Thus the capacity of room P is 3/(1/5) = 15 and that of room Q is 3/(3/4) = 4. If the 6 people, i.e., the total number of people in these 2 rooms, were merged into room N that has the same capacity as room P, we see that 6/15 = 2/5 of room N would be filled.

Alternate Solution:

Since there is an equal number of people in room P and room Q, when they merged into room N, the number of people doubled. Furthermore, since room N has the same capacity as room P, so the fraction that originally occupied room P (or room N) will also double. Thus, 2/5 of room N was filled when people from rooms P and Q merged.

Answer: B

RichterPhan2611 · Answer

So the details about Q and the number in Q is a layer to distract us. I can find the answer without caring about Q.

Archit3110 · Answer

let total chairs in P ; 75 and and in Q = 60
so occupied in P ; 15 and in Q = 15
now total 30 move to room N ; where chairs are 75
so fraction ; 30/75 ; 2/5
OPTION B

EgmatQuantExpert · Answer

Solution

Given

• Two rooms with an equal number of students
• Bigger room  \frac{1}{5} th is occupied.
• Smaller room ¾th occupied
• All the students are moved to a third room with the same capacity as the larger room.

To Find

• What is the fraction of the third room that is unoccupied? 
 
 Approach and Working Out

• Both the rooms have an equal number of students. So, with moving all the students in a room the number will be doubled.
• Larger room already have  \frac{1}{5} th occupied.
 o The third room now will be  \frac{2}{5} th occupied (as they are identical). 
• The third room will be 1 –  \frac{2}{5}  =  \frac{3}{5} th vacant.

Correct Answer: Option C

Shrey08 · Answer

By merging the people from rooms P & Q into a room of same capacity as that of P we have just doubled the count of people that were originally in P, because the count of people if P and Q was same.

so, if   \frac{1}{5}   people occupy chairs in P, then   \frac{2}{5}   people occupy chairs in N

Option B

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In an organization there were two waiting rooms P&Q with different num

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