Average salary of all staff in an office of a corporate house is Rs., 5,000 . average salary of the&

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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 $500,$ the number of officers ?

A

$10$

B

$15$

C

$25$

D

$50$

Solution

Let the number of officers be $x,$ then number of the rest officials $=500-x$

Now, according to the question,

$x \times 14000+(500-x) 4000=5000 \times 500$

$\Rightarrow \quad x \times 14+(500-x) 4=5 \times 500$

$\Rightarrow 14 x+2000-4 x=2500$

$\Rightarrow 10 x=2500-2000=500$

$\Rightarrow x=\frac{500}{10}=50$

Standard 13

Quantitative Aptitude

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