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

Given: n1 = 12 (Officers), n2 = x (Remaining). Total employees (n) = 12 + x. Average Officer Salary = 40000. Average Remaining Salary = 6000. Overall Average Salary = 7000. Applying alligation: (Officers Avg 40000) / (Overall Avg 7000) / (Remaining Avg 6000) results in ratios: (7000 - 6000) : (40000 - 7000) = 1000 : 33000. The ratio of officers to remaining employees (n1 : n2) is 1 : 33. Since n1 = 12, the proportion is 12 / x = 1 / 33. Therefore, x = 12 * 33 = 396. Total Employees = n1 + n2 = 12 + 396 = 408. This corresponds to option (3).