Explanation:

Let’s break it down:

- HR has 110 people, which is 25% of all employees. So:

Total employees = 110 / 0.25 = 440

- Finance has 2/11 of the total employees:

Finance = (2/11) × 440 = 80

- Sales is 25% more than Finance:

Sales = 80 + (0.25 × 80) = 100

- Combine what we have so far:

HR: 110

Finance: 80

Sales: 100

Total so far = 290

- That leaves 440 - 290 = 150 people split between Housing and Security.

- The ratio is 3:7, so total parts = 10.

Housing = (3/10) × 150 = 45

Security = (7/10) × 150 = 105

- Now, for the average among sales, housing, security:

(100 + 45 + 105) / 3 = 250 / 3 = 83.33

- The closest match is Option 3: 83.33

Option 3: 83.33 is correct.

What this really means is, you nailed it—everything checks out and the math lines up. None of the other options match the calculation.