The length of a rectangle is increased by 60 %. By what percent would the width have to be decreased to maintain the same area?
Options:
A . 37 ½ %
B . 60 %
C . 75 %
D . 120%
Answer: Option A
Initially, let Length = x and breadth = y New breadth = Z and New Length = ( 160/100 x) = 8/5 x 8/5 x × Z = xy or Z = 5y/8 Decrease in breadth = (y- 5y/8) = 3/8 y % Decrease percent = ( 3/8 y ×1/y×100) % = 37 ½ %
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