# CAT Practice : Percents, Profits

Number of Students

## Number of Students

Q.25: In an examination, 35% of students failed in quants and 42% of students failed in verbal while 14% failed in both the topics. If 222 students passed in both the topics, how many students appeared to write the examination?
1. 500
2. 600
3. 700
4. 800

Choice B. 600

## Detailed Solution

Percent of students failing quants = 35

Percent of students failing verbal = 42

Sum = 35 + 42 = 77

Percent of students failing both = 14

= ) Percent of students failing either one = 77 – 14 = 63. Thus, 37% students passed in both the topics

= ) 37% of x = 222 = ) x = 600

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