Question

150/day
so
3. There were 40 students in a mess. Due to admission of 10 new students, the expenses of mess
were increased by Rs. 150/day. While the average expenditure per head diminished by Rs. 8.0
What was the original average expenditure of the mess?
4) Rs. 42
B) Rs. 58
C) Rs. 60
D) Rs. 55​

Answer 1

Step-by-step explanation:

Let the average expenditure of 35 students be

x

ˉ

After adding 7 new students, the average was decreased by 1 rupee.

The expenses of the mess were increased by 42 rupees.

Therefore,

x

ˉ

=

35

expenses of 35 students

⟹expenses of 35 students=35

x

ˉ

------(1)

After adding 7 new students, the average is

x

ˉ

−1=

35+7

expenses of 35 students+42

------(2)

substituting (1) in (2) we get

x

ˉ

−1=

42

35

x

ˉ

+42

⟹42

x

ˉ

−42=35

x

ˉ

+42

⟹7

x

ˉ

=84

⟹

x

ˉ

=12 ----(3)

substituting (3) in (1) we get

⟹expenses of 35 students=35

x

ˉ

=35×12=420

Therefore, the original expenditure of the mess is 420

Answer 2

Answer:

Therefore the original expenditure of the mess is 420