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.

⇒
`(Number(5))/(100)=23`

⇒
`(x(5))/(100) = 23`

⇒
`(x)/(20) = 23`

⇒
`(x)/(20) (20)= 23(20)`

⇒
`x= 23(20)`

⇒
`x= 460`

Also , 16% of x is :

⇒
`(460(16))/(100)=73.6`

Therefore , The 16% of 460 is 73.60 .

Answer 2

16% of the number is 73.6

Step-by-step explanation:

Let x be the number

According to the question:

`(5)/(100) X x = 23\\\\x = (2300)/(5) \\\\x = 460`

The number is 460.

1% of the same number is 4.6

Proof-

`(1)/(100) X 460 = 4.6`

16% of the number = ?

`(16)/(100) X 460 = 73.6`

Therefore, 16% of the number is 73.6