Question 83

Station master decides that the length and the breadth of the rectangular Digital Board is increases by 6% and decreases by 6% 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 6%, => new length = $$100\times\frac{106}{100}=106$$ cm

Similarly, new breadth = $$94$$ cm

=> New area = $$106\times94=9964$$ $$cm^2$$

$$\therefore$$ Area is decreased by = $$\frac{10000-9964}{10000}\times100=0.36\%$$

=> Ans - (C)

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