Quantitative Aptitude Ques 1210

Question: There were 35 students in a hostel. If the number of students increases by 7, the expenses of the mess increase by Rs. 42 per day while the average expenditure per head diminishes by Rs. 1. Find the original expenditure of the mess.

Options:

A) Rs. 480

B) Rs. 520

C) Rs. 420

D) Rs. 460

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the average expenditure per student per day be Rs. x Then, total expenditure per day $ =Rs\text{. 35}x $ Now, total expenditure per day $ =35x+42 $ Now, average expenditure $ (x-1) $ Given, $ \frac{35x+42}{42}=x-1 $

$ \Rightarrow $ $ 35x+42=42x-42 $

$ \Rightarrow $ $ 7x=42+42 $
$ \Rightarrow $ $ x=\frac{2\times 42}{7}=12 $

$ \therefore $ Original expenditure of mess $ =35\times 12=420 $

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