Question : The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of the passed candidates are 35 and those of the failed candidates are 10. What is the number of candidates who passed the examination?
Option 1: 60
Option 2: 70
Option 3: 80
Option 4: 90
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Correct Answer: 80
Solution : The average marks of the passed candidates are 35 and those of the failed candidates are 10. Using the alligation method, we get, The ratio of the number of pass students to fail students = 20 : 5 = 4 : 1 So, Total students = 4 + 1 = 5 units According to the question, 5 units = 100 ⇒ 1 unit = 20 Passed candidate = 4 units = 4 × 20 = 80 Hence, the correct answer is 80.
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