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 ?
Sol. Let the original average expenditure be Rs. `x` , Then
42(`x` - 1) - 35`x` = 42
`hArr 7x = 84`
`rArr x = 12.`
`:.` Original expenditure = Rs. (35 x 12) = Rs. 420.
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