# THE AVERAGE SALARY OF ALL WORKERS IN THE FACTORY Rs.60, THE AVERAGE SALARY OF 12 OFFICERS IS Rs.400, THE AVERAGE SALARY OF REST IS Rs.56, FIND THE TOTAL

NUMBER OF WORKERS IN THE FACTORY

2
by nasee

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NUMBER OF WORKERS IN THE FACTORY

2
by nasee

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Total number of workers is considered as x

Average of 12 officers salary = 12 x 400 = 4800

4800 + 56x = ( 12 + x ) x 60

4800 + 56x = 720 + 60x

4x = 4080

X = 1020

∴ Total number of workers = 12 + x = 12 + 1020 = 1032

Their average salary = Rs 60

Total salary of all workers = 60x

Average salary of 12 officers = Rs 400

Total salary of 12 officers = 12 × 400 = Rs 4800

Average salary of rest of employees = Rs 56

Total salary of these rest of employees = (x - 12)×56

⇒ (x - 12)×56 + 4800 = 60x

⇒56x - 672 + 4800 = 60x

⇒ 4x = 4128

⇒ x = 1032

Total number of workers in the factory = 1032