Question

Percent question?

Answer 1

`color(blue)(22661.67)` 2 d.p.

Explanation:

First find `85%` of 200.

`85/100xx200=200/100xx85=170`

So, let the unknown number be `x`, then

`7.5%` of `x =170`

`7.5/100x=170`

Multiply by 100:

`7.5x=17000`

Divide by 7.5:

`x=17000/7.5=22661.6dot6~~22661.67` 2 d.p.

Answer 2

`2266.bar(6)`

Explanation:

`"let's do this in 2 parts"`

`"find "85%" of "200`

`=85/cancel(100)^1xxcancel(200)^2=85xx2=170`

`"now find number that 170 is "7.5%" of"`

`"using "color(blue)"using proportion"`

`7.5%to170`

`100%to170/1xx100/7.5=17000/7.5=2266.6666..`

`rArr170" is "7.5%" of "2266.bar6=2266 2/3`