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The length of a rectangle is increased b...

The length of a rectangle is increased by `60%`. By how much percent must its breadth reduced so that the area remains same ?

A

1.25

B

0.755

C

0.5

D

0.375

Text Solution

Verified by Experts

The correct Answer is:
D
Let the initial length of rectangle = l unit
And initial breadth = b unit
`therefore` Initial area = lb square unit
Let the x% would the width have to decreased to maintain the same area, when length is increased by 60%.
`therefore l xx b = l xx 160/100 xx b xx (100 -x)/100`
`rArr x = 100 - 1000/16 = (1600-1000)/16`
`=37.5%`
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