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Arithmetic Mean

The average m...

Question

The average monthly salary of 20 workers in an office is ₹ 45900. If the manager's salary is added, the average salary becomes ₹ 49200 per month. Find the manager's monthly salary.

A

₹121000

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B

₹115200

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C

₹182000

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D

₹105200

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Solution

The correct option is B
₹115200

Let the manager's salary be $x$

Average salary of 20 workers = ₹ 45900

$\Rightarrow \frac{s u m}{20} = 45900 \Rightarrow s u m = ₹ 918000$

When the manager's salary is added, the new sum becomes ₹( $918000 + x$ ) and the new mean is ₹ 49200

$\frac{918000 + x}{21} = 49200 918000 + x = 1033200 x = ₹ 115200$

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