Question

the average salary of the teacher of a school is rs 3000 then salary of two more teacher is included the average salary rate reduced by RS 100 and total salary increases by rs 4000 now find the number of teacher​

Answer 1

Answer:

18

Step-by-step explanation:

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Sanjeev J. asked • 09/03/18

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The average salary of teachers of a school is Rs 3000. when salary of 2 more teachers is included, the average salary reduce by rs 100 and the total salary increased by rs 4000. now, find the numbers of teachers

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Naomi S. answered • 09/04/18

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Number of teachers = n

Total salary = x

Average = x / n

3000 = x / n

x = 3000 n --------eq 1

when salary of 2 more teachers is included, the average salary reduce by rs 100 and the total salary increased by rs 4000

3000 -100 =( x + 4000) / (n + 2)

2900 = (x+4000)/(n+2)

2900(n+2) = (x+4000)

2900n +5800 = 3000n +4000 -----------from eq 1

100n =1800

n =18

so number of teachers =n= 18

Answer 2

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

Hence, there were 18 teachers.