Mixtures Alligations

Let n1 = 12(Officers), n2 = x (Remaining). Total n = 12 + x. Avg Salary Officers = 40000. Avg Salary Remaining = 6000. Overall Avg = 7000. Using Alligation on Averages: Officers (Avg=40000) / Overall Avg (7000) / Remaining (Avg=6000) / (7000- 6000) = 1000 / (40000- 7000) = 33000 Ratio of Numbers (Officers : Remaining) = 1000 : 33000 = 1 : 33. So, n1 : n2 = 1: 33. Since n1= 12, we have 12 / x = 1/33 . x =12 * 33 = 396. TotalEmployees = n1 + n2 = 12 + 396=408. This matches option (3).