The length of a rectangular plot is increased by 25%. To keep it's area uncharg

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Question

The length of a rectangular plot is increased by 25%. To keep it's area uncharged the width of the plot should be

Options:

A . Kept unchanged

B . Increased by 25%

C . Increased by 20%

D . Reduced by 20%

Answer: Option D

Let the length be x metres and breadth be y metres
Then it's area =(xy)m²
New length =(125/100 x)m =(5x/4)m.
Let the new breadth be 2 metres
Then xy 5x/4 x 2 => 2 = 4/5 y
Decreased in width =(y -4/5 y) = y/5 metres
Decreased % in width =(y/5 x 1/y x 100)% = 20%

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