Question

The average salary of the teachers of a school is Rs. 3000. When salary of two more teachers is included, the average salary reduces by Rs. 100 and the total salary increased by Rs. 4000. Now, find the number of teachers.​

Answer 1

Answer:

There would be 18 teachers

Step-by-step explanation:

Let x be the original number of teachers,

If average salary of the teachers = rs 3000,

Then total salary = number × average = 3000x,

After reducing the average salary by rs 100,

New average salary = 3000 - 100 = 2900,

If number of teachers is increased by 2,

New number of teachers = x + 2

So, total new salary = 2900(x+2)

According to the question,

2900(x+2) - 3000x = 4000

2900x + 5800 - 3000x = 4000

-100x + 5800 = 4000

-100x = 4000 - 5800

-100x = -1800

\implies x =\frac{-1800}{-100}=18⟹x=

−100

−1800

=18

Hence, there were 18 teachers.

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