robert755
robert755 7h ago โ€ข 0 views

Difference between discount and sales tax calculation

Hey everyone! ๐Ÿ‘‹ Ever get confused between discounts and sales tax? ๐Ÿค” They both involve percentages, but they affect the final price differently. Let's break it down!
๐Ÿงฎ Mathematics

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cynthia645 Dec 28, 2025

๐Ÿ“š Understanding Discounts and Sales Tax

Discounts and sales tax are both ways of changing the price of an item, but they work in opposite directions. A discount ๐Ÿ“‰ reduces the original price, making the item cheaper. Sales tax, on the other hand, ๐Ÿ“ˆ increases the price, adding a percentage of the original price to the cost.

๐Ÿ”Ž Definitions

  • ๐Ÿท๏ธ Discount: A reduction in the original price of a product or service. It is usually expressed as a percentage or a fixed amount.
  • ๐Ÿฆ Sales Tax: A tax imposed by the government on the sale of goods and services. It is usually expressed as a percentage of the selling price.

๐Ÿ“Š Discount vs. Sales Tax: A Detailed Comparison

Feature Discount Sales Tax
Definition A reduction in the original price. An addition to the original price, levied by the government.
Effect on Price Decreases the price. Increases the price.
Calculation Subtract percentage of discount from original price. Add percentage of sales tax to original price.
Formula Final Price = Original Price - (Discount Rate ร— Original Price) Final Price = Original Price + (Sales Tax Rate ร— Original Price)
Example Original Price: $100, Discount: 20%
Final Price: $100 - (0.20 ร— $100) = $80
Original Price: $100, Sales Tax: 8%
Final Price: $100 + (0.08 ร— $100) = $108

๐Ÿ’กKey Takeaways

  • ๐Ÿ’ฐ Discounts save you money: ๐Ÿง‘โ€๐Ÿซ They are applied to lower the initial price of an item. For example, if a shirt costs $25 and there is a 10% discount, you pay $25 - ($25 * 0.10) = $22.50.
  • ๐Ÿงพ Sales tax adds to the cost: ๐ŸŒ This is a percentage added by the government and varies by location. If an item costs $20 and the sales tax is 6%, you pay $20 + ($20 * 0.06) = $21.20.
  • โž• Order matters: โž— If both discount and tax are applied, the discount is usually calculated first.
  • โž— Example: Let's say an item costs $100. There's a 10% discount and a 5% sales tax.
    First, calculate the discount: $100 * 0.10 = $10. Subtract it: $100 - $10 = $90.
    Next, calculate the sales tax on the discounted price: $90 * 0.05 = $4.50. Add it: $90 + $4.50 = $94.50.

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