There are 35 students in a hostel. If the no. of students increases by 4, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess? Choose the correct choice from the following options
A) s. 99.75 B) s. 89.75 C) s. 72.75 D) s. 58.75 E) s. 49.75
Suppose the average join the mess , total expenditure = 35x + 42   Now, the average expenditure = (35x + 42)/ (35 + 4) = x – 1   or, 35x + 42 = 39x – 39   or, x = 20.25   Thus the original expenditure of the mess = 35 x 20.25=708.75   Therefore x-1 = 19.25   hence 42 x 19.25 = 808.50   808.50 - 708.75 = Rs. 99.75   s. 99.75
<result>A</result>
There are 35 students in a hostel. If the no. of students increases by 4, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?