Respuesta :

16% of the number is 73.6

Explanation:

Let x be the number

According to the question:

[tex]\frac{5}{100} X x = 23\\\\x = \frac{2300}{5} \\\\x = 460[/tex]

The number is 460.

1% of the same number is 4.6

Proof-

[tex]\frac{1}{100} X 460 = 4.6[/tex]

16% of the number = ?

[tex]\frac{16}{100} X 460 = 73.6[/tex]

Therefore, 16% of the number is 73.6

The 16% of 460 is 73.60 .

Step-by-step explanation:

Here we have ,  5% of a number is 23  ,1% of the same number is 4.6 . We need to find the number . Let's find out:

Let the number x so according to question , 5% of a number is 23  i.e.

⇒ [tex]\frac{Number(5)}{100}=23[/tex]

⇒ [tex]\frac{x(5)}{100} = 23[/tex]

⇒ [tex]\frac{x}{20} = 23[/tex]

⇒ [tex]\frac{x}{20} (20)= 23(20)[/tex]

⇒ [tex]x= 23(20)[/tex]

⇒ [tex]x= 460[/tex]

Also , 16% of x is :

⇒ [tex]\frac{460(16)}{100}=73.6[/tex]

Therefore , The 16% of 460 is 73.60 .