Question

The average income of employee in an office is $Rs150$ per month. The average income of officers is $Rs450$ and that of non-officers is $Rs80$. If the number of officers is $14$ what is the number of non-officers ?

• A. $65$
• B. $55$
• C. $60$
• D. $70$

Answer 1

The correct option is A $65$

Average income of employee $=$Rs. $150$

Average income of officers is Rs. $450$

and Average income of non-officers is Rs. $80$

number of officers is $14$

Income of officers $=14\times 450$

Income of non-officers $=80\times x$

$\frac{14\times 450\times 80x}{14+x}=150$

$14\times 450+80x=150\times 14+150x$

$14(450-150)=150x-80x$

$14\left(300\right)=7x$

$x=60$

There are $60$ non-officers.