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There are 36 students in a hostel. If the
number of students increases by 9, then the
expenses of the mess increased by Rs. 45 per day
while the average expenditure per head
diminishes by Rs. 2. Find the original expenditure
of the mess?
Most Upvoted Answer
There are 36 students in a hostel. If the number of students increases...
Given:
- Initial number of students = 36
- Increase in number of students = 9
- Increase in mess expenses = Rs. 45
- Decrease in average expenditure per head = Rs. 2

Let's solve step by step:

Step 1: Calculating the original average expenditure per head
- Let the original total expenditure of the mess be Rs. x
- Therefore, the original average expenditure per head = x/36

Step 2: Calculating the new average expenditure per head
- New total expenditure of the mess = x + 45 (due to increase in expenses)
- New number of students = 36 + 9 = 45
- New average expenditure per head = (x + 45) / 45

Step 3: Using the given information to form an equation
- According to the question, the new average expenditure per head is Rs. 2 less than the original average. So, we have:
x/36 - 2 = (x + 45) / 45

Step 4: Solving the equation to find the original expenditure of the mess
- Solving the equation, we get:
x = Rs. 1260
Therefore, the original expenditure of the mess was Rs. 1260 per day.
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There are 36 students in a hostel. If the number of students increases by 9, then the expenses of the mess increased by Rs. 45 per day while the average expenditure per head diminishes by Rs. 2. Find the original expenditure of the mess?
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