Multiple choice

The average salary of 25 teachers is Rs. 6050 per month. Five teachers leave the school and the average salary of the remaining teachers is dropped by Rs. 250. Find the total salary of the teachers who left the school.

  1. Rs. 35250

  2. Rs. 35200

  3. Rs. 35000

  4. Rs. 35300

  5. Rs. 35400
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A Correct answer
Explanation

Original number of teachers (N) = 25 

Original average salary (A) = Rs. 6050 

Number of teachers who left the school (n) = 5

Difference between the average salaries (d) = Rs. 250 

Now, apply the following shortcut formula to find the average salary of teachers who left the school:

Average salary of the teachers who left the school = A - (1 - N/n)d

= 6050 - (1 - 25/5) * 250 

= Rs. 7050 

Now, total salary of 5 teachers = 5 * 7050

= Rs. 35250

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