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Let's the whole number be x, that is 100% and 2a is k%.This means that [tex] \frac{x}{2a} = \frac{100}{k} [/tex], from where

[tex]x= \frac{200a}{k} [/tex].

Answer:

x = [tex]\frac{200\ *\ a}{k}[/tex].

Step-by-step explanation:

Given :  if k% of it is 2a.

To find : What is the number.

Solution : We have given k% of a number is 2a

Let the number is  x

Then ,

According to question

k% of x =  2a .

[tex]\frac{k}{100} * x[/tex] = 2a.

On multiplying by 100 both side .

k * x = 2a * 100.

On dividing by k both side.

x =  2a * [tex]\frac{100}{k}[/tex].

x = [tex]\frac{200\ *\ a}{k}[/tex].

Therefore, x = [tex]\frac{200\ *\ a}{k}[/tex].

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