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Question

A part of monthly hostel charges in a college are fixed and the remaining depend on the number of days one has taken food in the mess. When a student A takes foods for 20 days, he has to pay Rs 1000 as hostel charges whereas a students B, who takes food for 26 days, pays Rs 1180 as hostel charges. Find the fixed charge and the cost of food per day.

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Solution

Let the fixed charges of hostel be and the cost of food charges be per day

According to the given condition we have,

Subtracting equation from equation we get

Putting in equation we get

Hence, the fixed charges of hostel is .

The cost of food per day is .


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