In a college, the average salary of principal and vice-principal is 20,000 rupees per month. If the salary of principal is increased by 50% and that of vice-principal by 50%, the new average salary is Rs. ____.

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Detailed Solution

Concept- The new average salary is Rs. 30000.
To determine the new average wage requested in the question, find the average salaries of the principal and vice-principal and compare them to the specified figure.
The sum of the values of all the observations divided by the total number of observations is how we define the mean (or average) of a set of data.
Let the salary of principal =x rupees
Let the salary of vice-principal =y rupees
Given that: average salary of vice-principal and principal is 20000
The average value of two numbers, a and b, equals the sum of numbers divided by 2 .

Hence, Average salary of principal and vice-principal

….(i)
Salary of principal increased by

i.e.

=0.5 y
New salary of vice-principal = Previous salary + increment

Now, Average salary of principal and vice-principal

(from (2) and (3)

The new average salary of vice-principal and principal is Rs. 30,000 .
Hence, the answer is Rs.3000.

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