Question

The cost of carpeting a room is 120. If the width had been 4 metres less, the cost of the Car- pet would have been 20 less. The width of the room is :

• A. 24 m
• B. 20 m
• C. 25 m
• D. 18.5 m

Answer 1

Answer:

A. 24 m

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 $=\frac{120}{x}metre$

New cost = 120 – 20 = 100

Breadth = (x – 4) metres

Then, $\frac{120}{x}\times{(x-4)}=100$

=>\frac{6}{x}(x-4)=5

$6x-24=5x$

$x=24$

Breadth of the room = 24 metres