Question

There were 35 students in a hostel. Due to admission of 7 new students, the expenses of the mass were increased by Rs.42 per day, while the average expenditure per head diminished by Rs.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

Answer 2

Answer:

Step-by-step explanation:

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

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