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The average salary of 12 officers in a factory is Rs. 3950 per month and that of other employees of the factory is Rs. 1850 per month. If the average salary of all employees (including the officers) of the factory be Rs. 2150 per month, find the total number of employees in the factory.
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- 80
- 85
- 84
- 86
- 80
Correct Option: C
Let the number of employees other than officers be y.
∴ Total salary of officers = Rs. (12 × 3950)
Total salary of other employees = Rs. (y × 1850)
According to question,
∴ 2150 (y + 12) = 12 × 3950 + 1850y
⇒ 2150y + 25800 = 47400 + 1850y
⇒ 2150y – 850y = 47400 – 25800
⇒ 300y = 21600
∴ y = 21600 ÷ 300 = 72
∴ Total number of employees = y + 12 = 72 + 12 = 84
