-
The cost of carpeting a room is 120. If the width had been 4 metres less, the cost of the Carpet would have been 20 less. The width of the room is :
-
- 24 m
- 20 m
- 25 m
- 18.5 m
- 24 m
Correct Option: A
Let the cost of carpeting per sq. metre be 1.
∴ Area of the room = 120 sq. metre
Let the breadth of the room be x metres. Then,
| Length of room = | metres | |
| x |
New cost = 120 – 20 = ? 100
Breadth = (x – 4) metres
| Then, | × (x - 4) = 100 | |
| x |
| ⇒ | (x - 4) = 5 | |
| x |
⇒ 6x – 24 = 5x
⇒ x = 24
∴ Breadth of the room = 24 metres
