Question

A hostel had 320 inmates. This year 80 more inmates joined and the average expenditure reduced by 5 but the total expenditure went up by 400. What is the expenditure of the hostel in this year?

Answer 1

Answer:

10000

Step-by-step explanation:

let us assume the expenditure of each inmate before reduction was = x

so the increase in total expenditure for the additional 80 inmates = 80x

the average expenditure is reduced by 5 per inmate, so the total reduction after addition of 80 inmates because of this = (320+80)*5 =2000

since the final expenditure went up so we can write ...  80x - 2000 =400

so x= 30 (before reduction)

after reduction expenditure per inmate = 30 - 5 = 25

total expenditure =25*400=10000.