There are 500 rooms in a multi floored hotel However due to a change in rule the hotel has to decrea...........

Quant (SSC) Ratio, Proportion

There are 500 rooms in a multi-floored hotel. However, due to a change in rule, the hotel has to decrease the number of floors by 5. However, the management is able to put 5 more rooms in each floor. Over all, the number of rooms in the hotel decreases by 10%. Find the number of floors and the number of rooms/floor the hotel originally had?

10 floors 50 rooms

20 floors 20 rooms

20 floors 25 rooms

50 floors 10 rooms

छोटे Courses बड़े Results

Master Ratio, Proportion

Prepare through Micro-courses

Try Now

Explanation:

Let the number of floors be x and rooms per floor be y
So, xy = 500
After the change,
(x-5) * (y+5) = 450
xy – 5y + 5x – 25 = 450
500 – 5(y-x) – 25 = 450 (As, xy = 500)
5(y-x) = 25
y-x = 5