The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

Question:
The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

[A].

25% increase

[B].

50% increase

[C].

50% decrease

[D].

75% decrease

Answer: Option B

Explanation:

Let original length = x and original breadth = y.

Original area = xy.

New length =	x	.
	2

New breadth = 3y.

New area =		x	x 3y		=	3	xy.
		2				2

Increase % =		1	xy x	1	x 100	%	= 50%.
		2		xy