There were 35 students in a hostel. Due to the admission of 7 new students the expenses of the mess were increased by Rs.42 per day while the average expenditure per head diminished by Re 1. What was the original expenditure of the mess?
Let the original average expenditure be Rs. x then,
42(x - 1) - 35x = 42
⇒ 7x = 84
⇒ x = 12
Therefore original expenditure, = Rs. (35 × 12) = Rs. 420
Nine persons went to a hotel for taking their meals. Eight of them spent Rs. 12 each on their meals and the ninth spent Rs. 8 more than the average expenditure of all the nine. What was the total money spent by them.
Average after 11 innings = 36
Required number of runs, = ( 36 × 11) - (32 × 10)
= 396 - 320
There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.