๐ 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 ๐ reduces the original price, making the item cheaper. Sales tax, on the other hand, ๐ increases the price, adding a percentage of the original price to the cost.
๐ Definitions
- ๐ท๏ธ Discount: A reduction in the original price of a product or service. It is usually expressed as a percentage or a fixed amount.
- ๐ฆ 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.
๐ 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 |
๐กKey Takeaways
- ๐ฐ Discounts save you money: ๐งโ๐ซ 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.
- ๐งพ Sales tax adds to the cost: ๐ 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.
- โ Order matters: โ If both discount and tax are applied, the discount is usually calculated first.
- โ 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.