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 is

total number of staff = 500

let the number of officers = x

rest = 500 - x

given that average salary of the officers is Rs. 14,000

total salary of officers = $$ 14000x $$

average salary of rest is 4000

total salary of rest = $$ (500 - x) 4000 $$

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

according to the question 

$$ \frac{14000x + (500 - x)4000}{500} = 5000 $$

14000x + 2000000 - 4000x = 2500000

solving x = 50

number of officers = 50