Question
Download Solution PDFThe average salary of the entire staff in Reliance Company is Rs.15000 per month. The average salary of officers is Rs.45000 per month and that of non-officers is Rs.10000 per month. If the number of officers is 20 then find the number of non-officers in the Reliance company.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The average salary of the entire staff = Rs. 15000
The average salary of officers = Rs. 45000
The average salary of non-officers = Rs. 10000
Number of officers = 20
Calculations:
Let the number of non-officers be x.
Total member in entire staff = x + 20
Total salary of the entire staff = (x + 20) × 15000
⇒ 15000x + 300000 ----(1)
Total salary of officers = 20 × 45000 = 900000
Total salary of non-officers = x × 10000 = 10000x
Total salary of the entire staff = 900000 + 10000x ----(2)
From equation (1) and (2)
⇒ 10000x + 900000 = 15000x + 300000
⇒ 5000x = 600000
⇒ x = 120
Alternate Method
The ratio of officers to non-officers = 5000 ∶ 30000 = 1 ∶ 6
Number of officers = 1 unit = 20
Then, number of non-officers = 6 unit = 120
∴ Non-officers in reliance company be 120.Last updated on Jun 13, 2025
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