One part of a hostel’s monthly expenses is fixed, and the other part is proportional to the number of its boar

Question

One part of a hostel’s monthly expenses is fixed, and the other part is proportional to the number of its boarders. The hostel collects ₹ 1600 per month from each boarder. When the number of boarders is 50, the profit of the hostel is ₹ 200 per boarder, and when the number of boarders is 75, the profit of the hostel is ₹ 250 per boarder. When the number of boarders is 80, the total profit of the hostel, in INR, will be

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Accepted Answer

20500. Profit per boarder = Total profit / Number of boarders. Let the number of boarders be n. Profit/boarder = 1600 - (Total cost/n) Let the total cost be a + bn, where a = fixed, and b is the variable additional cost per boarder. Profit/boarder = 1600 - (a + bn)/n Profit/boarder = 1600 - a/n - b 1600 -