Multiple choice

The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of passed candidates are 35 and that of the failed candidates is 10, what is the number of the candidates who passed the examination?

  1. 60

  2. 70

  3. 80

  4. 90
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let p be passed candidates. Using the weighted average formula: 35p + 10(100-p) = 30×100. This gives 25p = 2000, so p = 80. Therefore, 80 candidates passed the examination.

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