A part of the monthly charges in a college is fixed and the remaining depend on the number of days one has taken food in the mess. When a student X takes food for 25 days, he has to pay Rs 1750 as hostel charges, whereas a student Y, who takes food for 28 days, pays

Rs 1900as hostel charges. Find the fixed charge and the cost of food per day.

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Fixed charge = Rs450 and food cost per day = Rs40

Fixed charge = Rs350 and food cost per day = Rs70

Fixed charge = Rs500 and food cost per day = Rs50

Fixed charge = Rs200 and food cost per day = Rs60

answer is C.

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Detailed Solution

Given that 25 days food + fixed charge = 1750
28 days food + fixed charge = 1900
Now to determine the fixed charge and food cost per day.
Let the fixed charge be x and food cost per day be y.

x + 25 y = 1750 x + 28 y = 1900

On subtracting and solving above equations, we get,
x=500, y=50.
Therefore, the fixed charge is Rs 500 and food cost per day is Rs 50.
Hence, option (3) is correct.

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