Question

A part of monthly Hostel charge is fixed and the remaining depends on the number of days one has taken food in the mess. When Swati takes food for 20 days, she has to pay 13000 as hostel charges whereas, Mansi who takes food for 25 days pays ? 3500 as hostel charges. Find the fixed charges and the cost of food per day.​

Answer 1

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Fixed charges are Rs. 1000 and the cost of food per day is Rs. 100.

Step-by-step explanation:

Let the fixed charges = y (in rupees) and the cost of food per day = x (in rupees).

Now, Swati takes food for 20 days and pays Rs. 3000.

That is, 20x+y=3000 .................(1)

Also, Mansi takes food for 25 days and pays Rs. 3500.

That is, 25x+y=3500 ..................(2)

Subtracting (1) from (2), we get,

5x=500

i.e. x=100

Substitute x=100 in (1), we get,

20× 100+y=3000

i.e. 2000+y=3000

i.e. y=1000

Hence, the fixed charges are Rs. 1000 and the cost of food per day is Rs. 100.

Answer 2

Answer:

The fixed charges are Rs. 1000 and the cost of food per day is Rs. 100.

Step-by-step explanation:

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