(1) A part of monthly hostel charges is fixed and the remaining depends on the
number of days one has taken food in the mess. When a student A takes food for
20 days she has to pay 1000 as hostel charges whereas a student B, who takes
food for 26 days, pays 1180 as hostel charges. Find the fixed charges and the
cost of food per day.
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Answer:Let the fixed charges be Rs.x and the cost of food per day be Rs.y. Then as per the question x + 25y = 4500 ………(i) x + 30y = 5200 ……..(ii) Subtracting (i) from (ii), we get 5y = 700 ⇒ y = 700/5 = 140 Now, putting y = 140, we have x + 25 × 140 = 4500 ⇒x = 4500 – 3500 = 1000 Hence, the fixed charges be Rs.1000 and the cost of the food per day is Rs.140Read more on Sarthaks.com - https://www.sarthaks.com/132595/part-monthly-hostel-charges-college-fixed-remaining-depends-number-days-taken-food-mess
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