Question

There are 35 students in a hostel. Due to the admission of 7 new, the expenses of the mass were increased by ₹42 per day, while the average expenditure per head diminished by ₹1. What was the original expenditure of the mass?

Answer 1

Let original average expenidture was X.
Total expenditure = 35X.
Now, According to question,
35X+42 = (X - 1)*42
35X + 42 = 42X - 42
7X = 84
X = Rs. 12
So, Initial expenditure would be 12 *35 = Rs. 420