A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 percent larger than the original. By what percentage has the area of the logo increased?

A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 percent larger than the original. By what percentage has the area of the logo increased?

A 50

B 80

C 100

D 125

Solution

Correct Answer: Option D

Increased area = {(100+increasingrate)/100}2

= {(100+50)/100}2

= (150/100)2

= 225/100

So, Increased area = 225 - 100 = 125%