Question

If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?

Answer 1

Answer:
$222.73


Explanation:
The multiplier would be 1.1 as (100% plus 10% as a decimal) and $245 is 110% and we want 100%. So 245 divided by 110 is 2.227 which would be 1%. But we want 100% so 2.227 x 100 is $222.73 (1 decimal place).

Answer 2

Answer:  $222.73

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Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

1.10x = 245

x = 245/1.10

x = 222.7272 approximately

x = 222.73 is the price before tax.

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Check:

10% of 222.73 = 0.10*222.73 = 22.273 = 22.27

The tax amount ($22.27) is added to the pre-GST price to get

22.27+222.73 = 245

which matches the post-GST price mentioned.

The answer is confirmed.

Or another way to confirm the answer is to calculate this

1.10*222.73 = 245.003 = 245