Question 111

Station master decides that the length and the breadth of the rectangular Digital Board should be increased by 8% and decreased by 2% respectively. Find the overall change in the area.

Solution

Let the length and breadth of rectangle be 100 cm

=> Original area = $$100\times100=10000$$ $$cm^2$$

Increasing the length by 8%, => new length = $$100\times\frac{108}{100}=108$$ cm

Similarly, new breadth = $$98$$ cm

=> New area = $$108\times98=10584$$ $$cm^2$$

$$\therefore$$ Area is increased by = $$\frac{10584-10000}{10000}\times100=5.84\%$$

=> Ans - (D)

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