A workshop's overall average salary is Rs. 8000. With 7 technicians averaging Rs. 12000 and the rest averaging Rs. 6000, what is the total worker count__________________?
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Answer: B. 21
Explanation
Total salary expenditure equals the overall average salary multiplied by total workers. Technician salary sum is added to the remaining worker salary sum to equal total salary. Solving the resulting linear equation for total worker count yields 21. Average salary equals total payroll divided by total number of workers. Total payroll equals 8000 multiplied by total workers x. Technician payroll equals 7 multiplied by 12000 which equals 84000 rupees.
Corporate payroll analysis uses group averages to model departmental compensation costs. Human resource budgeting requires balancing skilled and general worker salary tiers. Weighted mean problems are standard in workforce economics and salary planning. Choosing 20 workers fails to satisfy the combined departmental salary equation. Choosing 22 workers overestimates the total headcount required for the payroll sum. Choosing 23 workers results in an incorrect balance between technician and rest salaries.
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- Mathematics
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