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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 ₹1,500 as hostel charges while another student B, who takes food for $26$ days, pays ₹1,800. Find the fixed charges and the cost of food.
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Let the monthly fixed charges of hostel be $x$ and cost of food be $y$ per day.
A.T.Q
$x + 20y = 1500$ ---------(i)
$x + 26y = 1800$ ---------(ii)
Solving equations (i) & (ii)
$x = 500, y = 50$
Hence, the monthly fixed charges of hostel be ₹500 and cost of food be ₹50 per day.
A.T.Q
$x + 20y = 1500$ ---------(i)
$x + 26y = 1800$ ---------(ii)
Solving equations (i) & (ii)
$x = 500, y = 50$
Hence, the monthly fixed charges of hostel be ₹500 and cost of food be ₹50 per day.