Question

A number exceeds 20% of itself by 10 the number is

Answer 1

Let the number be x

So, 20% of x = $\dfrac{20}{100}$ × x

= $\dfrac{x}{5}$

Accoding to the question,

x - $\dfrac{x}{5}$ = 10

$\dfrac{4x}{5}$ = 10

4x = 50

2x = 25

x = $\dfrac{25}{2}$

x = 12.5

$\therefore{}$ $\text{The number is 12.5}$

Answer 2

Let that number be  x

Now , Given  that  number exceeds  20% of  itself by 10. It  means,

Number  = 20 %  of  number + 10

x =  20%  of x + 10

20% of x :-   x × 20/100

                   = x/5

∴ x = x/5 + 10

$x-\frac{x}{5}=10\\\;\\\frac{5x-x}{5}=10\\\;\\\frac{4x}{5}=10\\\;\\4x=50\\\;\\2x=25\\\;\\x=12.5$