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 of $10$ numbers is $7$. What will be the new average if each of the numbers is multiplied by $8$?

The average salary of the entire staff in an office is $Rs. 120$ per month. The average salary of officers is $Rs. 460$ and that of non-officers is $Rs. 110$. If the number of officers is $15$,then find the number of non-officers in the office?

$19$ persons went to a hotel for a combined dinner party. $13$ of them spent $Rs. 79$ each on their dinner and the rest spent $Rs. 4$ more than the average expenditure of all the $19$ persons. What was the total money spent by them?

In a coconut grove,$(x+2)$ trees yield $60$ nuts per year,$x$ trees yield $120$ nuts per year,and $(x-2)$ trees yield $180$ nuts per year. If the average yield per year per tree is $100$,find the value of $x$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module