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 whereas 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.
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