The square of a positive number is 2000% greater than the number itself, then the square

The square of a positive number is 2000% greater than the number itself, then the square
Posted on 27-12-2022

Ques - The square of a positive number is 2000% greater than the number itself, then the square of that number is :

A. 1762

B. 1635

C. 441

D. 139

Solution - 

Let,

The positive number = x

Square of a positive number = x + (2000/100)x

x² = x + 20x

x² = 21x

x² - 21x = 0

Here,

x can be 0 and 21.

But x = 0 can't be possible.

Therefore,

x = 21 can be possible.

Therefore,

The positive number is 21.

And 

The square of positive number = (21)²

The square of positive number = 441.

Hence,

The correct answer is option (c) 441. 

Thank You