Question

30 students have certain average money, now one more students with Rs 120 join them so that the new average increased by Rs 1.find out new average of all 31 students?

Answer 1

SOLUTION

GIVEN

30 students have certain average money, now one more students with Rs 120 join them so that the new average increased by Rs 1.

TO DETERMINE

The new average of all 31 students

EVALUATION

Let the average money of 30 students = Rs x

Then total money of 30 students = Rs 30

Now one more students with Rs 120 join them

So the total amount becomes

= Rs ( 30x + 120 )

Now it is given that the new average increased by Rs 1

So the new average = Rs ( x + 1 )

In that case total amount of money

= Rs 30( x + 1 )

So by the given condition

$\sf{31(x + 1) = 30x + 120}$

$\sf{ \implies \: 31x +31 = 30x + 120}$

$\sf{ \implies \: 31x - 30x = 120 - 31}$

$\sf{ \implies \: x = 89}$

Hence new average of all 31 students

= Rs ( 89 + 1 )

= Rs 90

FINAL ANSWER

The new average of all 31 students

= Rs 90

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