Final answer:
To find the height of the room, calculate the total area of the walls by subtracting the areas of the door and windows. Then, use the cost and rate of painting to find the area of the walls. Finally, solve the equation to find the height of the room.
Step-by-step explanation:
To find the height of the room, we need to calculate the total area of the walls first. The door and the two windows are not painted, so we need to subtract their areas from the total. The area of the door is 2m x 1.5m = 3m², and the area of each window is 1m x 1.5m = 1.5m². The area of the walls is therefore (2m+1.5m) x (2m+1.5m) - 3m² - 1.5m² - 1.5m² = 12.5m².
The cost of painting the walls is Rs. 495. The rate is Rs. 7.50 per square meter. So, Rs. 7.50 x 12.5m² = Rs. 93.75.
Let's assume the height of the room as 'h' meters. The total painted area is the sum of the areas of all four walls, which is 12.5m². Therefore, 12.5m² = (2m+1.5m + 2m+1.5m) x h. Solving this equation, we get h = 1.25m.
The height of the room is 1.25 meters, which is not among the given options.