a part of monthly hostel charges is fixed and the remaining depends on the no.of days one has taken in the mess when swati takes food for 20 days she has to pay Rs3000 as hostel charges whereas Mansi who tajes food for 25 days Rs 3500 as hostel charges find fixed charges and cost of food per day
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Answer:
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, .................(1)
Also, Mansi takes food for 25 days and pays Rs. 3500.
That is, ..................(2)
Subtracting (1) from (2), we get,
i.e.
Substitute in (1), we get,
i.e.
i.e.
Hence, the fixed charges are Rs. 1000 and the cost of food per day is Rs. 100.
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