31. There are 48 students in a hostel. If the number of students are increased
by the expenses of the mess were increased by 42 per day which the
average expenditure per head reduced by 2. What is the original
expenditure of the mess?
(A) 7850 B) 860 (C) 832 (D) 845
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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
option C - 832 is correct
Learn More :
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