Question

In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?

Answer 1

Answer:

Rs 5400

Step-by-step explanation:

In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400

Let say Average expenditure was = x  Rs

Expenditure of 100 students = 100x  Rs

expenditure increased by Rs.400

Now expenditure = 100x + 400  Rs

Now Students = 100 + 20 = 120

Now Average = x - 5

Now expenditure = 120(x - 5) = 120x - 600   Rs

100x + 400 = 120x - 600

=> 20x = 1000

=> x = 50

Now expenditure = 100x + 400 = 100 * 50 + 400 = Rs 5400

Answer 2

Step-by-step explanation:

so Expenditure of 100 students =100x

Expenditure increase by Rs 400

Now Expenditure = 100x+ 400 Rs

New student = 100+20

Now average =x-5

Now Expenditure = 120(x-5)= 120x - 600 Rs

100x+400= 120x-600

20x= 1000

x= 50

Now Expenditure = 100x+400 = 100×50+400 = 5400