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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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:

Similar Questions

If the average of $6$ consecutive even numbers is $25,$ the difference between the largest and the smallest number is

The average age of a family of $6$ members is $22 \text{ years}$. If the age of the youngest member is $7 \text{ years}$,then what was the average age of the family at the birth of the youngest member?

David obtained $76, 65, 82, 67$ and $85$ marks (out of $100$) in English,Mathematics,Physics,Chemistry,and Biology. What is his average marks?

$A$ student finds the average of $10$ two-digit numbers. If the digits of one of the numbers are interchanged,the average increases by $3.6$. The difference between the digits of that two-digit number is:

The average of five consecutive odd integers is $27$. What is the product of the first and the last number?

Vedclass Test Series

Exam Paper Generator

Online Exam Module