In hotel Trident, the rooms are numbered from 101 to 130 on the first floor, 221 to 260 on the second floor and 306 to 345 on the third floor. In the month of June 2012, the room occupancy was 60% on the first floor, 40% on the second floor and 75% on the third floor. If it is also known that the room charges are ` 200, ` 100 and ` 150 on each of the floors, then find the average income per room for the month of June 2012.

Options

A. 151.5
B. 88.18
C. 78.3
D. 65.7

Answer

To find the average income per room for the month of June 2012 in Hotel Trident, we will follow these steps:

### Step 1: Calculate the number of rooms on each floor.
- **First Floor:** Rooms are numbered from 101 to 130.
- Total rooms = 130 - 101 + 1 = 30 rooms.

- **Second Floor:** Rooms are numbered from 221 to 260.
- Total rooms = 260 - 221 + 1 = 40 rooms.

- **Third Floor:** Rooms are numbered from 306 to 345.
- Total rooms = 345 - 306 + 1 = 40 rooms.

### Step 2: Calculate the number of occupied rooms on each floor.
- **First Floor:** Occupancy is 60%.
- Occupied rooms = 60% of 30 = (60/100) * 30 = 18 rooms.

- **Second Floor:** Occupancy is 40%.
- Occupied rooms = 40% of 40 = (40/100) * 40 = 16 rooms.

- **Third Floor:** Occupancy is 75%.
- Occupied rooms = 75% of 40 = (75/100) * 40 = 30 rooms.

### Step 3: Calculate the total revenue from each floor.
- **First Floor:** Room charge is ₹200.
- Revenue from first floor = 18 rooms * ₹200 = ₹3600.

- **Second Floor:** Room charge is ₹100.
- Revenue from second floor = 16 rooms * ₹100 = ₹1600.

- **Third Floor:** Room charge is ₹150.
- Revenue from third floor = 30 rooms * ₹150 = ₹4500.

### Step 4: Calculate the total revenue from all floors.
- Total revenue = Revenue from first floor + Revenue from second floor + Revenue from third floor
- Total revenue = ₹3600 + ₹1600 + ₹4500 = ₹9700.

### Step 5: Calculate the total number of occupied rooms.
- Total occupied rooms = Occupied rooms on first floor + Occupied rooms on second floor + Occupied rooms on third floor
- Total occupied rooms = 18 + 16 + 30 = 64 rooms.

### Step 6: Calculate the average income per room.
- Average income per room = Total revenue / Total occupied rooms
- Average income per room = ₹9700 / 64 = ₹151.56 (approximately).

### Final Answer:
The average income per room for the month of June 2012 is approximately ₹151.56.

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