Answer :

Let the fixed charge be Rs x and the cost of food per day be Rs y.


According to the question,


For Yash,


He took food for 25 days


x + 25 y = 2200..(i)


For Niyati,


She took food for 20 days


x + 20 y = 1800….(ii)


Subtract (ii) from (i),


x + 25y – x – 20 y = 2200 – 1800


5y = 400


y = 80


Putting this value in (i),


x + 25× 80 = 2200


x = 2200 – 2000


x = 200


Hence, the fixed cost = Rs 200 and the cost for food per day = Rs 80


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