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Length of a rectangle is increased by 10% and breadth is decreased by 10%. Find the percent effect in the area.
  • a)
    2% increase
  • b)
    1% decrease
  • c)
    2% decrease
  • d)
    1% increase
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Length of a rectangle is increased by 10% and breadth is decreased by...
Let length = l
And breadth = b
Area = lb
After increment, length = l x (100 + 10)/100 = l x 110/100 = l x 11/10
After decrement, breadth = b x (100 - 10)/100 = b x 90/100 = b x 9/10
Area = l x 11/10 x b x 9/10
= 99lb/100 lb
% decrease = (lb - 99lb/100)/lb x 100
= (100lb - 99lb)/100 x 1/lb x 100
= lb/100 x 1/lb x 100
= 1%
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Length of a rectangle is increased by 10% and breadth is decreased by 10%. Find the percent effect in the area.a)2% increaseb)1% decreasec)2% decreased)1% increaseCorrect answer is option 'B'. Can you explain this answer?
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