There are 35 students in a hostel. If the no. of students increases by 3, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs 1. Find the original expenditure of the mess?  Choose the correct answer:  A) s. 144.67  B) s. 319.67  C) s. 142.67  D) s. 148.67  E) s. 149.67
Suppose the average join the mess , total expenditure = 35x + 42   Now, the average expenditure = (35x + 42)/ (35 + 3) = x – 1   or, 35x + 42 = 38x – 38   or, x = 26.67   Thus the original expenditure of the mess = 35 x 26.67 =933.33   1078-933.33 = Rs. 144.67   s. 144.67
<result>A</result>
There are 35 students in a hostel. If the no. of students increases by 3, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs 1. Find the original expenditure of the mess?