Question 7

The length of a rectangular plot is increased by 60%. By how much percentage its breadth should be decreased so that total area remains same?

Solution

Let length of rectangle = $$10$$ and breadth = $$8$$ units

Area = $$10\times8=80$$ sq. units

Length is increased by 60%, => New length = $$10+(\frac{60}{100}\times10)=16$$ units

For area to remain the same, new breadth = $$\frac{80}{16}=5$$ units

=> % decrease in breadth = $$\frac{(8-5)}{8}\times100$$

= $$\frac{300}{8}=37.5\%$$

=> Ans - (D)

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