Saved Bookmarks
| 1. |
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 1300 as hostel charges whereas a student 'B', who takes for 25 days, pays Rs 1500 as hostel charges. Find the fixed charges and the cost of food per day. |
|
Answer» Let Rs. x be monthly fixed charge of hostel & Rs.y be the cost of food per day For student A, x + 20 y = 1300---(1) For student B, x + 25y = 1500----(2) Substract (1) from (2), we get (x + 25y) - (x + 20y) = 1500 - 1300 ⇒ 5y = 200 ⇒ y = 40 ∴ x + 800 = 1300 (From (1)) ⇒ x = 1300 - 800 = 500 Hence, hostal fixed charge is Rs. 500 and the cost of food Rs. 40 per day |
|