# TANCET 2008 Quant Question 7 : Mathematical Expressions

## Question

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?

**Correct Answer:** . Choice (2)

#### Explanatory Answers

The meeting started with P people. Q left the room during the first hour.

So, (P - Q) people have been in the room since the meeting started.

This expression is obviously the denominator of the expression.

To start with there were P people, Q of whom left the room and another R joined the group.

So, the number of people in the room after the first hour = P - Q + R.

This expression is the numerator of the expression.

Required expression =

Level of difficulty : Easy to moderate

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