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

 

  • Correct Answer
    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

Correct Answer: 600



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