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The length and breadth of a square are increased by 40% and 30%  respectively . The area of resulting exceeds he area of the square by  :


Options:
A .  35%
B .  42%
C .  62%
D .  82%
Answer: Option D

Let length =  l metres and breadth  = b metres.

Then original area = (lb) `m^2`

New length = (140% of  l) m = `(140/100 xx l)m =  (7l)/(5)` m

New breadth = (130% of b)m = `(130/100 xx b) m = (13b)/(10)` m

New area = `((7l)/(5) xx (13l)/(10)) = (91/50 lb)m^2`

Increase = `(91/50  lb - lb) = 41/50 lb`

`:.`      Increase % = `(41/50 xx lb xx (1)/(lb) xx 100)`% =  82%



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