A jacket is on sale for $38.25. This represents a 15% discount. What was the original price of the jacket?

Step 1: Identify the given information.
The sale price of the jacket is $38.25. From the context of the previous question (part b)(i), we assume the reduction percentage is$15%$.

Step 2: Determine the percentage of the original price that the sale price represents.
If the price is reduced by $15\%$, the sale price is $100\% - 15\% = 85\%$ of the original price.

Step 3: Set up an equation to find the original price.
Let $P$ be the original price. $0.85 \times P = \$38.25$

Step 4: Solve for $P$.
Divide the sale price by the percentage (as a decimal) it represents. $P = \frac{\$38.25}{0.85}$ $P = \$45$

b)

ii) The original price of the jacket is \boxed{\45}$.