Question

The overall average salary for all employees in an office is ₹16,000. Officers earn an average salary of ₹28,000, while non-officers make an average of ₹10,000. If there are 15 officers, determine the number of non-officers.

• A. 30
• B. 50
• C. 40
• D. 60

Answer 1

Answer:

A. 30

Use the alligation method (or weighted average).

The average salaries are:

• Officers = ₹28,000

• Non-officers = ₹10,000

• Overall average = ₹16,000

The ratio of officers to non-officers is:

(16,000 - 10,000) : (28,000 - 16,000)
= 6,000 : 12,000
= 1 : 2

This means:

• 1 officer corresponds to 2 non-officers.

Since there are 15 officers:

$\text{Non-officers} = 15 \times 2 = 30$

Answer:

$\boxed{30}$