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Electrical Engineering

The average salary per head of all the employees in a company is Rs. 180. The average salary of 24 employees is Rs. 1040and the average salary per head of the rest is Rs. 160. Find the total number of employees in the workshop. A) 2841 B) 1056 C) 1195 D) 2145

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The average salary per head of all the employees in a company is Rs. 180. The average salary of 24 employees is Rs. 1040and the average salary per head of the rest is Rs. 160. Find the total number of employees in the workshop. A) 2841 B) 1056 C) 1195 D) 2145
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 B)

Average = Sum of observations/Number of observations

Let the number of employees be x.

Given, the average salary per head of all the employees in a company is Rs. 180

So, the sum of salary of all the employees in the company = Rs.180x

Given, the average salary of 24 employees is Rs. 1040

So, the total salary of 24employees = 1040 × 24 = Rs. 24960

Given, the average salary per head of the result is Rs. 160.

Number of remaining employees = x – 24

Then, total salary of the remaining employees = 160× (x – 24)

∴ 24960 + 160 × (x – 24) = 180x

⇒ 24960+ 160x - 3840 = 180x

⇒ 20x = 2112

⇒ x = 1056
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