40% of the no. when added to the square of the same number,

40% of the no. when added to the square of the same number,
Posted on 21-12-2022

Ques - 40% of the no. when added to the square of the same number, then it is increased to 4040% of itself the actual no. is :

(a) 175

(b) 400

(c) 40

(d) 120

Solution - 

Let,

The actual number = x

According to the question

40% of x + x² = 4040% of x

(40/100)x + x² = (4040/100)x

0.4x + x² = 40.4x

x² = 40.4x - 0.4x

x² = 40x

x * x = 40x

x = 40x/x

x = 40

Hence,

The correct option is (c) 40.

Thank You