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There were 35 students in a hostel If the number of…

September 6, 2022 by Prabhat

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There were 35 students in a hostel. If the number of the students is increased by 7, then the expenses of the mess increased by Rs. 42 per day, while the average expenditure per head diminishes by Rs. 1. The original expenditure of the mess per day was-

A. Rs. 400
B. Rs. 420
C. Rs. 432
D. Rs. 442

Answer: Option B

Here is complete explanation of There were 35 students in a hostel If the number of….

Solution(By ExamCraze Team)

Let the original expenditure of the mess per day be Rs. x
Then, new expenditure
= Rs. (x + 42)
$$eqalign{ & therefore frac{x}{{35}} - frac{{left( {x + 42} right)}}{{42}} = 1 cr & Rightarrow 6x - 5left( {x + 42} right) = 210 cr & Rightarrow x - 210 = 210 cr & Rightarrow x = 420 cr} $$