CAT 2025 Profit & Loss Question (Medium)

Question

There are 25 rooms in a hotel. Each room can accommodate at most three people. For each room, the single occupancy charge is Rs. 2000 per day, the double occupancy charge is Rs. 3000 per day, and the triple occupancy charge is Rs. 3500 per day.

If there are 55 people staying in the hotel today, what is the maximum possible revenue from room occupancy charges today?

Optima Learn · Accepted Answer

Let the numbers of single, double, and triple-occupancy rooms be x, y, z respectively. 1 Room-count constraint x y z 25. 2 People-count constraint x 2y 3z 55. Subtracting the first from the second y 2z 30 Rightarrow y 30 - 2z. Then x 25 - y - z 25 - 30 - 2z - z -5 z. For non negative integers, z ge

CAT 2025 Profit & Loss — Previous Year Question

CAT 2025

Quantitative

Profit & Loss

Medium

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