Question
There are 75 students in the hostel. Due to new
admissions, 15 new students join the mess, and the daily expenses of the mess increased by ₹240, while the average expenditure per head diminished by ₹5. What was the original expenditure (in ₹) of the mess?Solution
Let the average expense per day be x. Total expense = 75x After the admission of 15 more students, Total Expense = 75x + 240 Average Expense = x - 5 According to the question, 90(x -5) = 75x + 240 90x-450=75x+240 15x = 690 75x = 3450 Original Expenditure = Rs. 3450 Required answer is Rs. 3450
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