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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. |
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Answer» 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 |
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