Question

After an increase of 20 %; a number becomes 540. Find the original number.

Answer 1

Given:-

            Increase % (z) = 540

            Value of the number after  increase (y) = 540

Let the original number be "x".

To find:-  the original number.

                         

Finding:- Here,

                             

x = (y×100)/(100+g)

= (540×100)/(100+20)

= (540×100)/120

= 450

                     

∴ The original number (x) = 450

                     

Answer 2

Let the number be x

Increase % on number = 20%

According to the question :

$x + (x \times \frac{20}{100}) = 540$

$x + (x \times \frac{2}{10}) = 540$

$x + \frac{2x}{10} =540$

$\frac{x \times 10}{1 \times 10} + \frac{2x}{10} = 540$

$\frac{10x}{10} + \frac{2x}{10} = 540$

$\frac{12x}{10} = 540$

$12x = 540 \times 10$

$12x = 5400$

$x = \frac{5400}{12}$

$x = 450$

Therefore the number is 450.