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Bunuel
There were P people in a room when a meeting started. Q people left the room during the first hour, while R people entered the room during the same time. What expression gives the number of people in the room after the first hour as a percentage of the number of people in the room who have been there since the meeting started?

(A) \(\frac{(P - Q)}{(P - Q + R)}\)

(B) \(100 * \frac{(P - Q + R)}{(P - Q)}\)

(C) \(\frac{(P + R)}{(P - Q)}\)

(D) \(100 * \frac{(P - Q)}{(P - Q + R)}\)

(E) \(100 * \frac{(P + R)}{(P - Q)}\)


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Initial people in the room = P

During the first hour = Q left and R entered.

Remaining People = P-Q+R

People remaining right from the start = P-Q

People after First hour = (x/100)* People remaining from Start

(P-Q+R) = (x/100)* (P-Q)

x = (P-Q+R)*100 /(P-Q)

\(100 * \frac{(P - Q + R)}{(P - Q)}\)

Option B
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There were P people in a room when a meeting started. Q people left the room during the first hour, while R people entered the room during the same time. What expression gives the number of people in the room after the first hour as a percentage of the number of people in the room who have been there since the meeting started?

Number of people in the room after the first hour= P-Q+R
Number of people in the room who have been there since the meeting started=P-Q
Required Percentage=100*(P-Q+R)/(P-Q)

Answer: B
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