Retail Discount and Tax Calculator

Problem Description

A small retail shop owner wants to understand the final prices customers will pay on several items after applying promotional discounts and local sales tax. She has a list of original prices, discount percentages, and a sales tax rate, and needs to see the step-by-step math so she can verify the numbers herself and explain them to her accountant.

She's not confident in her own mental arithmetic, so she wants you to walk through every calculation fully so she can follow the logic.

Expressions to Solve

Work through each of the following calculations and explain the math:

1. A jacket originally costs $120. There is a 25% discount. What is the discounted price?
2. A pair of shoes costs $85. There is a 15% discount applied, and then 8% sales tax is added to the discounted price. What is the final price?
3. A store coupon gives 30% off orders over $200. A customer's cart totals $340. What is 30% of $340, and what does the customer pay?

Output Specification

Write the solutions to price_calculations.md. For each item, show the full calculation and clearly state the final result.