Answer:
$32.50
Explanation:
Let the cost price of the bicycle = x
[tex]\text{Sales Price = Cost Price + Tax}[/tex]The harmonized sales tax is 13%.
[tex]\begin{gathered} x+(13\%\text{ of x)=}282.50 \\ x+0.13x=282.50 \\ 1.13x=282.50 \\ x=\frac{282.50}{1.13} \\ x=\$250 \end{gathered}[/tex]We can then subtract from the sales price to find the harmonized sales tax.
[tex]\begin{gathered} \text{HST}=\text{Sales Price-Cost Price} \\ =282.50-250 \\ =\$32.50 \end{gathered}[/tex]The harmonized sales tax on the price is $32.50.