Question

The average salary of 10 workers in an office is Rs. 2100 per month. If the manager's salary is added the average bacoes Ps 2200

Answer 1

The manager's monthly salary is Rs. 3200.

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Let's understand a few concepts:

We will use the following formula of average to find the manager's monthly salary:

$\boxed{\bold{Average = \frac{Sum \:of\:observations}{Number \:of\:observations} }}$

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Let's solve the given problem:

No. of workers in the office = 10

The average of monthly salary of 10 workers = Rs. 2100

∴ The sum of the monthly salary of 10 workers = 2100 × 10 = Rs. 21000

After adding the manager's monthly salary:

No. of members (10 workers + manager) = 11

The new average of monthly salary becomes = Rs. 2200

∴ The sum of the monthly salary of 11 members = 2200 × 11 = Rs. 24200

Now,

The manager's monthly salary will be,

= [Sum of monthly salary of 11 members] - [Sum of monthly salary of 10 workers]

= Rs. 24200 - Rs. 21000

= Rs. 3200

Thus, the monthly salary of the manager will be Rs. 3200.

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Complete Question:

The average salary of 10 workers in an office is Rs. 2100 per month. If the manager's salary is added the average becomes Rs. 2200. What is the manager's monthly salary?

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