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Area - General Aptitude

Q1:

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

ANS:B - 50% increase

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