If an item is $120 including the GST: a. Find the GST. b.Find the price before the GST.
a. $120 ÷ 11 = $10.91
∴ the GST is $10.91
to find the GST from a price including the GST, following the diagram, we divide by 11.
with rounding to two decimal places for money
b. $120 ÷ 11 x 10 = $109.09
∴ the price before the GST was added is $109.09
to find the price before the GST, following the diagram, we divide by 11 then multiply by 10.
∴ the price before the GST was added is $109.09
so price before GST is $109.09
Alternatively
120 ÷ 110% = $109.09
we can use another method to find the price before the GST and then use that to work out the GST
since the price before GST is 100%, and then we add 10% then the price including the GST will be 110%
to find the price before the GST we need to divide by 110%