The average salary of all the staff in an off | vedclass

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

Question

(D) Let the number of officers be $x$. Then,the number of the rest of the staff is $(500 - x)$.According to the problem,the total salary of all staff

Vedclass · Accepted Answer

$50$

Vedclass · Answer

(D) Let the number of officers be $x$. Then,the number of the rest of the staff is $(500 - x)$.According to the problem,the total salary of all staff is the sum of the total salary of officers and the total salary of the rest of the staff.Total salary of all staff $= 500 	imes 5,000 = 2,500,000$.Total salary of officers $= x 	imes 14,000$.Total salary of the rest of the staff $= (500 - x) 	imes 4,000$.Setting up the equation:$14,000x + 4,000(500 - x) = 2,500,000$Dividing the entire equation by $1,000$ to simplify:$14x + 4(500 - x) = 2,500$$14x + 2,000 - 4x = 2,500$$10x = 2,500 - 2,000$$10x = 500$$x = 50$.Therefore,the number of officers is $50$.

The average salary of all the staff in an office of a corporate house is $Rs. 5,000$. The average salary of the officers is $Rs. 14,000$ and that of the rest is $Rs. 4,000$. If the total number of staff is $500$,what is the number of officers?

Similar Questions

The sum of five consecutive integers is $a$ and the sum of the next five consecutive integers is $b$. Then $\frac{(b-a)}{100}$ is equal to

The average of marks obtained by $100$ candidates in a certain examination is $30$. If the average marks of passed candidates is $35$ and that of the failed candidates is $10$,what is the number of candidates who passed the examination?

The average weight of $8$ persons increases by $2.5\, kg$ when a new person comes in place of one of them weighing $65\, kg$. What is the weight of the new person? (in $kg$)

The average age of $20$ boys in the class is $15.6$ years. Five new boys join and the new average becomes $15.56$ years. What is the average age of the five new boys (in years)?

The average of $50$ numbers is $38$. If two numbers,namely $45$ and $55$,are discarded,the average of the remaining numbers is

Vedclass Test Series

Exam Paper Generator

Online Exam Module