There were 35 students in a hostel. If number of students increases by 7, expenses of mess increase

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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 decreases by $Rs.\, 1 .$ Find the original expenditure of the mess in $Rs.$

A

$420$

B

$520$

C

$450$

D

$550$

Solution

Let the average expenditure of a man $=x$ $Rs.$

According to the question $35 \times x+42=42(x-1)$

$7 x=84 \Rightarrow x=12$ $Rs.$

Original expenditure $=35 \times 12=420 Rs$

Standard 13

Quantitative Aptitude

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