Question

A part of monthly hostel charge is fixed and the remaining depends on the no of days one has taken food in the mess. when latika takes food for 25 days and pays ₹4000 as hostel charges whereas sunita takes food for 30 days and pays ₹4500 as hostel charges. Find the fixed charges and the cost of food per day​

Answer 1

Answer:

the fixed charges is Rs. 400 and the variable charges is Rs. 30 per day.

Step-by-step explanation:

Let the fixed charge be Rs. x and the variable charge be Rs. y per day.

It is given that when a student A takes food for 20 days she has to pay Rs. 1000 as hostel charges, therefore,

x+20y=1000

⇒x=1000−20y.....(1)

It is also given that when a student B takes food for 12 days she has to pay Rs. 1180 as hostel charges, therefore, we have:

x+26y=1180

Let us now substitute the value of x from equation 1 as follows:

x+26y=1180

⇒1000−20y+26y=1180

⇒−20y+26y=1180−1000

⇒6y=180

⇒y= 180/6

​⇒y=30

Now, substitute the value of y in equation 1:

x=1000−(20×30)=1000−600=400

Therefore, x=400 and y=30.

Hence, the fixed charges is Rs. 400 and the variable charges is Rs. 30 per day.

hope it helps you........