The length of a rectangular field is increased by 60 %

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The length of a rectangular field is increased by 60 % . By what percent would the width have to be decreased to maintain the same area ?

1. 37¹/₂%
2. 60%
3. 75%
4. 120%

Correct Option: A

Let length = L and breadth = B
Let , New breadth = Z

Then, New length = ( 160 / 100) L.
= 8L / 5
∴ 8L / 5 x Z = LB
or Z = 5B/8

Decrease in breadth = (B-5B/8)
= 3B/8

∴ Decrease in percent = (3B/8 x1/B ) x 100 %
= 37¹/₂%