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

There were 35 students in a hostel. Due to the admission of 7 new students the expenses of the mess were increased by Rs.42 per day while the average expenditure per head diminished by Re 1. What was the original expenditure of the mess? Correct Answer Rs. 420

Let the original average expenditure be Rs. x then,42(x - 1) - 35x = 42⇒ 7x = 84⇒ x = 12Therefore original expenditure, = Rs. (35 × 12)
= Rs. 420

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