3/4% of what number is 27?

2 Answers
Jun 13, 2016

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.

Jun 14, 2016

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