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There was one Mess for 30 boarders in a certain hotel. If the number of boarders was increased by 10, the expenses of the mess increased by rs40 per month, while the average expenditure per head diminished by rs 2 . Find the original monthly expenses

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1 Answers 1

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Hint:

If the mess spends $x $ amount on thirty boarders, the average expenditure for the thirty boarders is $=\displaystyle \frac {x}{30} $.

Similarly, the average expenditure for forty boarders is $=\displaystyle \frac {x+40}{40} $.

Thus , $$\frac {x}{30} - \frac {x+40}{40} =2$$

Hope you can take it from here.