Farmer is increasing the length of his rectangular field by 25% and reducing its breadth by 15% due to soil problem. What will be the percentage change in the area of the plot? A) 40% b) 10% c) 6.25% d) 12.50%
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Let,
Original Length = L and
Original Breadth = B
Area of Original field = LB
Change in Length & Breadth lead to,
New Length = 1.25L
New Breadth = 0.85B
New Area = 1.25L x 0.85B = 1.0625LB
% Change in Area = (New Area - Original Area)/Original Area
⇒ LB (1.0625 - 1)/ LB
⇒ 0.0625
⇒ 6.25%
Answer is (c)
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