There were 35 students in a hostel. If the number of students increases by 7, the expenses of the mess increase by Rs. 42 per day while the average expenditure per head decreases by Rs. 1. Find the original expenditure of the mess?
Explanation:
Let the average expenditure of the mess initially = Rs. ‘a’ per head per day. Total expenditure initially = 35a
New total expenditure 35a + 42
New average expenditure = a – 1 = 35a+4235+7
⇒ 42a - 42 = 35a + 42
⇒ 7a = 84
⇒ a = 12
∴ Initial expenditure of the mess = 35 × 12 = 420
Hence, option (a).
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