There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ? Choose the correct choice from the following options.
A) Rs. 612  B) Rs. 611  C) Rs. 610  D) Rs. 616  E) Rs. 615
Let the average expenditure per head be Rs. p   Now, the expenditure of the mess for old students is Rs. 44p   After joining of 15 more students, the average expenditure per head is decreased by Rs. 3 =&gt; p-3   Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33   Therefore, 59(p-3) = 44p + 33   59p - 177 = 44p + 33   15p = 210   =&gt; p = 14   Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.   Answer: Rs. 616
<result>D</result>
There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ?