.there are 48 students in a hostel if the number of students are increased by 9 the expenses of the nest where increased by rupees 42 per day is the average expenditure per head reduced by rupees to what is the original expenditure of the mess
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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
Learn More :
. Find the total expenditure of the hostel now?
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