The average of marks obtained by 120 candidates was 45. If the average of marks of candidates who passed was 49 and that of those who failed was 25, find the number of candidates who passed the examination.
Explanation:
Let p be the number of passed candidates. Then, number of failed candidates = (120 – p)
By the problem, 49p + 25(120 – p) = 120 × 45
⇒ p = 100
Hence, option (a).
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