The average salary,per head,of all the worker | vedclass

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(B) Let the total number of workers in the institution be $Z$.The total salary of all workers is given by the product of the average salary and the to

Vedclass · Accepted Answer

$1032$

Vedclass · Answer

(B) Let the total number of workers in the institution be $Z$.The total salary of all workers is given by the product of the average salary and the total number of workers: $60Z$.The total salary of $12$ officers is $12 	imes 400 = 4800$.The number of remaining workers is $(Z - 12)$,and their average salary is $56$. Thus,the total salary of the remaining workers is $56(Z - 12)$.The sum of the total salary of the officers and the remaining workers must equal the total salary of all workers:$4800 + 56(Z - 12) = 60Z$Expanding the equation:$4800 + 56Z - 672 = 60Z$$4128 + 56Z = 60Z$$60Z - 56Z = 4128$$4Z = 4128$$Z = \frac{4128}{4} = 1032$Therefore,the total number of workers in the institution is $1032$.

The average salary,per head,of all the workers of an institution is $Rs.\, 60$. The average salary of $12$ officers is $Rs.\, 400$; the average salary,per head,of the rest is $Rs.\, 56$. The total number of workers in the institution is:

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