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.
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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.
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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.
x=18
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