The average monthly salary of employees, consisting of officers and workers, of an organization is Rs.3000/ The average salary of an officer is RsRs.10000 while that of a worker isRs.2000 per month. If there are a total 400 employees in the organization, find the number of officers.a.60b.80c.50d.40
Question
The average monthly salary of employees, consisting of officers and workers, of an organization is Rs.3000/ The average salary of an officer is RsRs.10000 while that of a worker isRs.2000 per month. If there are a total 400 employees in the organization, find the number of officers.a.60b.80c.50d.40
Solution
To solve this problem, we can use the concept of weighted averages. Here are the steps:
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We know that the average salary of all employees is Rs. 3000. So, the total salary of all employees is 3000 * 400 = Rs. 1,200,000.
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Let's assume the number of officers is x. So, the number of workers is 400 - x.
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The total salary of officers is 10000 * x and the total salary of workers is 2000 * (400 - x).
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Since the total salary of all employees is the sum of the total salary of officers and workers, we can set up the following equation: 10000x + 2000 * (400 - x) = 1,200,000.
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Simplifying the equation gives us: 10000x + 800,000 - 2000x = 1,200,000.
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Further simplifying gives us: 8000x = 400,000.
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Solving for x gives us: x = 400,000 / 8000 = 50.
So, the number of officers in the organization is 50. Therefore, the correct answer is c.50.
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