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Question

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

Options:
A .  25% increase
B .  50% increase
C .  50% decrease
D .  75% decrease
E .  None of these
Answer: Option B
 -   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 x y x   1 x 100 %   = 50%. 2 xy

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