There are 35 students in a hostel. If the no. of students increases by 6, 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 most appropriate option
A) s. 34.83
B) s. 39.83
C) s. 42.83
D) s. 48.83
E) s. 54.83
Suppose the average join the mess , total expenditure = 35x + 42   Now, the average expenditure = (35x + 42)/ (35 + 6) = x – 1   or, 35x + 42 = 41x – 41   or, x = 13.83   Thus the original expenditure of the mess = 35 x 13.83=484.167   Therefore x-1 = 12.83   hence 42 x 12.83 =539   539 - 484.17 = Rs. 54.83   s. 54.83
<result>E</result>
There are 35 students in a hostel. If the no. of students increases by 6, 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?