Question

A number exceeds 20 percent of itself by 40.find the number​

Answer 1

Answer:

let the number be x.  

So, 20% of x  

         = (20/100) *x  

         =x/5  

Given,  

x - x/5 = 40  

4x/5 = 40  

x = 40*5/4  

 

  = 50  

Answer 2

Let the number be x

Another number = 20 % of x = 20/100 * x = 2/10 * x = 1/5 * x = x/5

Given : Number exceeds the other by 40. It means a number is 40 more than the other. So, Difference between the numbers is 40.

Equation formed

$x - \frac{x}{</strong><strong>5</strong><strong>} = 40$

$\frac{x \times </strong><strong>5</strong><strong>}{1 \times </strong><strong>5</strong><strong>} - \frac{x}{</strong><strong>5</strong><strong>} = 40$

$\frac{</strong><strong>5</strong><strong>x}{</strong><strong>5</strong><strong>} - \frac{x}{</strong><strong>5</strong><strong>} = 40$

$\frac{</strong><strong>4</strong><strong>x}{</strong><strong>5</strong><strong>} = 40$

$</strong><strong>4</strong><strong>x = 40 \times </strong><strong>5</strong><strong>$

$</strong><strong>4</strong><strong>x = </strong><strong>2</strong><strong>0</strong><strong>0</strong><strong>$

$x = \frac{</strong><strong>2</strong><strong>00}{</strong><strong>4</strong><strong>}$

$x = 50$

Therefore the required number is 50.