Question

There are 48 students in a hostel. If the number of students are increased
by 9, the expenses of the mess were increased by rupees 42 per day which the average expenditure per head reduced by rupees2. What is the original expenditure of the mess?
(A) rupees850
(B) rupees860
(C)rupees 832
(D) rupees 848
(E) None of these​

Answer 1

original expenditure of the mess = Rs 832  if 9 Students increased in 48 students , Average expense reduced by Rs 2 & Expense increased by Rs 42

Step-by-step explanation:

Let say Average expenditure per Student originally = X  Rs

Number of Students = 48

Original Expense = 48X  Rs

Students increased by 9

=> Number of Students = 48 + 9 = 57

Average Expense reduced by 2 = X - 2 Rs

New Expenses = 57 (X - 2)  = 57X - 114  Rs

57X - 114  = 48X + 42

=> 9X = 156

=> X = 52/3

original expenditure of the mess = 48X  = 48 * 52/3

= 16 * 52

= 832

Learn More :

. Find the total expenditure of the hostel now?

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