Of the 42 students in a hostel, 26 students are left. Due to this, the expenditure of the mess decreased by Rs. 110 per day, while the average expenditure per head increased by Rs. 5. What is the sum of original expenditure and the new expenditure of the mess?
Explanation:
Let the initial average mess expenditure per student be x.
Then, total expenditure = 42x
After 26 students are left, new expenditure = 42x - 110
According to the question, 42x – 110 = 26(x + 5)
⇒ 42x - 110 = 26x + 130
⇒ 16x = 240
⇒ x = 15
So, sum of original expenditure and the new expenditure = 42 × 15 + 26 × 20 = Rs. 1150
Hence, option (a).
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