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Algebra Level pending

There were 35 students in a hostel. If the number of students increases by 7, the expenses of mess increase by Rs42 per day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess.[The answer is in Rupees]


The answer is 420.

Deeponjit Bose by Deeponjit Bose , 31, India

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1 solution

Yash Khatri
Dec 27, 2014

Suppose the average join the mess , total expenditure = 35x + 42

Now, the average expenditure = (35x + 42)/ (35 + 7) = x – 1

or, 35x + 42 = 42x – 42

or, x = 12

Thus the original expenditure of the mess = 35 x 12 = Rs. 420

Thanks for the correction.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

35 X 12 = 420 not 42. The process is correct

Deeponjit Bose - 6 years, 5 months ago

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