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 food for 20 days, he has to pay Rs 1000 as hostel charges where as a student B, who takes food for 26 days, pays Rs 1180 as hostel charges. Find the fixed charge and the cost of food per day.

Answer 1

Let the fixed charges be ‘a’ and the cost of food per day be ‘b’

Given, when a student a takes food for 20 days, he has to pay Rs 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs 1180 as hostel charges.

⇒ a + 20b = 1000 a + 26b = 1180

Subtracting one from another

⇒ 6b = 180

⇒ b = Rs. 30

Thus,

a + 600 = 1000

⇒ a = Rs. 400