Question

Average salary of 17 teachers is 45000 three teachers left and the average salary dropped by 2500 what is the sum of salaries of three teachers who left

Answer 1

Answer:

The correct answer is Rs. 1,70,000.

Step-by-step explanation:

The average salary of 17 teachers= Rs. 45000

So, the total sum of the salaries of the 17 teachers =Rs 17× 45000 = Rs. 7,65,000

Now, after the three teachers left, new average =Rs 45000- 2500 = Rs. 42,500

Now the new sum of the salary of the remaining 14 teachers =Rs 14 × 42500 = Rs. 5,95,000

Therefore, the total salary of the three teachers who left = Rs. 7,65,000- 5,95,000 = Rs. 1,70,000

Answer 2

Answer:

Step-by-step explanation:

Our question is: Average salary of 17 teachers is 45000 three teachers left and the average salary dropped by 2500.

Our aim is to find what is the sum of salaries of three teachers who left.

Let a, b and c be the salary of the three teachers who left. Let d be the sum of the salaries of the remaining teachers.

We know that the average salary of 17 teachers is equal to Rs.45000.

Hence we know that (a + b + c + d) : 17 = 45000

After the three teachers left, it remained 14.

We also know that d : 14 = 45000 - 2500 = 42500

d = 595000

Now, substituting d in the initial equation that we had we are able to know the sum of salaries of the three teachers who left.

Let a + b + c = s.

Then s = 45000 * 17 - 595000 = 170000

Hence, we can conclude that the total salary is equal to Rs. 170000.

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