Question

5% 0f a number is 23 1% of the same number is 4.6 work out 16% of the number

Answer 1

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.

⇒ $\frac{Number(5)}{100}=23$

⇒ $\frac{x(5)}{100} = 23$

⇒ $\frac{x}{20} = 23$

⇒ $\frac{x}{20} (20)= 23(20)$

⇒ $x= 23(20)$

⇒ $x= 460$

Also , 16% of x is :

⇒ $\frac{460(16)}{100}=73.6$

Therefore , The 16% of 460 is 73.60 .

Answer 2

16% of the number is 73.6

Explanation:

Let x be the number

According to the question:

$\frac{5}{100} X x = 23\\\\x = \frac{2300}{5} \\\\x = 460$

The number is 460.

1% of the same number is 4.6

Proof-

$\frac{1}{100} X 460 = 4.6$

16% of the number = ?

$\frac{16}{100} X 460 = 73.6$

Therefore, 16% of the number is 73.6