The length of a rectangle is increased by 25% .By what percentage should the width be decreased so that the area of the rectangle remains unchanged?
A
30%
B
25%
C
20%
D
35%
Correct Answer: 20%
Let, Length 100 Width 100 So, area = 100×100 = 10,000Increased length = 100×125100 = 125Let, New width = x ATQ,125×x = 10,000⇒x = 10000125 = 80So, percentage decreased = 100 - 80100×100 = 20%