Question

3/4% of what number is 27?

Answer 1

`3/4%` of `3600` is `27`

Explanation:

Let `3/4%` of `x` be `27`.

`3/4%` of `x` means `3/4xx1/100` of `x` and hence

`3/4xx1/100xx x=27`

i.e. `3/400 x=27`

Hence `x=27xx400/3`

or `x=9cancel(27)xx400/(1cancel3)`

or `x=9xx400=3600`

Hence `3/4%` of `3600` is `27`.

Answer 2

The original number was 3600

Explanation:

Known that `3/4` is the same as 0.75.

So `3/4% -= 0.75/100`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Given:`" "0.75/100 xx ? =27`

Let the unknown value be `x`

Then

`" "color(brown)(0.75/100 xx x" "=" "27)`

`color(white)()`

Multiply both sides by `color(blue)(100/0.75)`

`color(white)()`

`" "color(brown)(0.75/100 color(blue)(xx 100/0.75) xx x" " =" " 27color(blue)(xx 100/0.75))`

`color(white)()`

`" "100/100xx0.75/0.75xx x= 3600`

`color(white)()`

`" "1xx1xxx=3600`
`color(white)()`

`" "x=3600`