How much will be Increase? If

The length and breadth of a rectangle are increased by 20 % and 25 % respectively. The increase in the area of the resulting will be:

  1. 25 %
  2. 40%
  3. 45%
  4. 50%
Monis Rasool Professor Asked on 30th July 2015 in Maths.
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1 Answer(s)

Answer: (4) 50 %
Explanation:-
Let the length of the rectangle is X m  & breadth of the rectangle is Y m.
Then, the area of the rectangle = X Y m sq.

Length is increase by 20 %,
Then, the length = X + X x 20/100
= X + X/5
= (5 X  + X)/5
= 6 X/5

Breadth increased by 25 %,
Then, the breadth  = Y + Y x 25/100
= Y + Y/4
= (4 Y + Y)/4
= 5 Y /4

The new area of the rectangle  = 6 X x 5 Y /5 x 4
= 3 X/2
Increased area = 3 X Y/2 – X Y
= (3 X Y – 2 X Y )/2
= X Y /2
Increase in percent =  X Y x 100 /X  X x 2
= 50 %
Hence, the answer is (4) 50 %.

Anurag Mishra Professor Answered on 30th July 2015.
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