Question

In a factory, average salary of employees is 7,000. If the average salary of 12 officers is Rs. 40,000 and that of remaining employees is 6,000, the number of employees in the factory will be

• A. 450
• B. 420
• C. 408
• D. 380

Hint:

In a factory, average salary of employees is 7,000. If the average salary of 12 officers is Rs. 40,000 and that of remaining employees is 6,000, the number of employees in the factory will be

Answer 1

The Correct Option is C

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).