9. 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 of the factory. Ans. 84 GL (WBCS (Main), 2002]
Answers
Answer:
84
Step-by-step explanation:
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
Answer:
This is what I know
Step-by-step explanation:
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}
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