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The average salary of the entire staff in the 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.

The average salary of the entire staff in the 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.


1). 610
2). 510
3). 410
4). Can’t be determined

This Question has 1 answers.

Let number of non-officers = a,

Then Total salary of officers = 15 × 460 = 6900,

Total salary of non-officers = a × 110.

Total salary of all employees = 120 × (15 +a)

Then,

Salary of all employees = Salary of officers + Salary of non-officers

120 × (15 + a) = 15 × 460  +  110a

1800 + 120a = 6900 + 110a

120a – 110a = 6900 – 1800

10a = 5100

a = 510

Hence, number of non-officers = 510

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