Question

Average salary of 17 teachers is 45000. 3 teachers went out and the average dropped by 2500. what is the sum of salaries of 3 teachers who left

Answer 1

Answer:

7500rs.

Step-by-step explanation:

as it is given that when 3 peoples left out the average salary dropped by 2500

so, sum of salaries =2500×3=7500rs.

Answer 2

The sum of the salaries of 3 teachers who left is Rs. 1,70,000.

Step-by-step explanation:

The formula to compute average is:

$Average=\frac{1}{n}\sum x$

Given:

A₁₇ = average salary of 17 teachers = 45000

n = 17

A₁₄ = average salary of 14 teachers = 45000 - 2500 = 42500

Compute the sum of salaries of 17 teachers as follows:

$Average=\frac{1}{n}\sum x_{17}\\45000=\frac{1}{17}\sum x_{17}\\x_{17}=45000\times 17\\x_{17}=765000$

Compute the sum of salaries of 14 teachers as follows:

$A_{14}=\frac{1}{n}\sum x_{14}\\42500=\frac{1}{14}\sum x_{14}\\x_{14}=42500\times 14\\x_{14}=595000$

Compute the sum of the salaries of 3 teachers who left as follows:

Sum of salaries of 3 teachers who left = A₁₇ - A₁₄

                                                                = 765000 - 595000

                                                                = 170000

Thus, the sum of the salaries of 3 teachers who left is Rs. 1,70,000.

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