Question: If the length of a rectangle is increased by 14.28 percent, then by how much percentage its breadth should be reduced to keep the area same?

  1. 14.28 percent
  2. 12.5 percent
  3. 14 percent
  4. 16.66 percent

Answer: 2. 12.5 percent

Solutions:
Area of rectangle be x. length be y. breadth be z. new breadth be z1.
then x=yz
x=(1.1428y)(z1)=yz
z1=1/1.1428=0.875
z1-1=0.125
percentage= 12.5

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