Area - Arithmetic Aptitude Questions and Answers

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

25% increase

50% increase

50% decrease

75% decrease

Answer : Option B

Explanation :

Let original length = x and original breadth = y.

Original area = xy.

New length = $\frac { X } { 2 }$

New breadth =3Y

New area = $[ \frac { X } { 2 }$ x3Y]= $\frac { 3 } { 2 }$ XY

Increase % =[ $\frac {1 } { 2 }$ xy x $\frac { 1 } { XY }$ x 100]%= 50%

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