There are 35 students in a hostel. If the no. of students increases by 12, 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? Select the correct option:
A) 259.58 B) 340.58 C) 342.58 D) 345.58 E) 380.58
Suppose the average join the mess , total expenditure = 35x + 42   Now, the average expenditure = (35x + 42)/ (35 + 12) = x – 1   or, 35x + 42 = 47x – 47   or, x = 7.42   Thus the original expenditure of the mess = 35 x 7.42 = Rs. 259.58   259.58
<result>A</result>
There are 35 students in a hostel. If the no. of students increases by 12, 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?