In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?

In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?

A). Rs.5000

B). Rs.4600

C). Rs.5400

D). Rs.2300

$ E_1 = 100A $

When 20 more students join, the new number of students is
$ N' = 120 $

The new average expenditure per student is
$ A' = A - 5 $

The new total expenditure is
$ E_2 = 120(A - 5) $

Given that the total expenditure increased by Rs. 400,
$ E_2 = E_1 + 400 $

Substituting the values,
$ 120(A - 5) = 100A + 400 $

Expanding the equation,
$ 120A - 600 = 100A + 400 $

Solving for A,
$ 120A - 100A = 600 + 400 $
$ 20A = 1000 $
$ A = 50 $

Now, calculating the new total expenditure,
$ E_2 = 120(A - 5) $
$ E_2 = 120(50 - 5) $
$ E_2 = 120 \times 45 $
$ E_2 = 5400 $

So, the total expenditure of the hostel now is Rs. 5400.

• There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4th hour, tap B is a
• Direction: There are nine members in a family. There are three married couple. A who is married to B does not have any son like G. G is the only sibling of I who is son in law of B. F is married to brother of H’s husband. G is father of E and D. A i
• Directions: In a family of eight members, there are two married couples and a widow. B, an engineer is married to a doctor. D, an architect is the wife of C. F, a student is the only child of D. H is the son of G and his sister E is the niece of the manag
• Two types of rice (type 1 and type 2) were mixed in the respective ratio of 1 : 3. The mixture was then sold @ 75.60 per kg to gain a profit of 20%. If the price of type 1 rice is Rs. 75 per kg, what is the price of type 2 price per kg?
• Directions: In a family of eight members, there are two married couples and a widow. B, an engineer is married to a doctor. D, an architect is the wife of C. F, a student is the only child of D. H is the son of G and his sister E is the niece of the manag