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Discounts are reductions in the original price of products or services, typically expressed as a percentage or a fixed amount. Understanding how discounts work helps consumers make informed purchasing decisions and helps businesses set effective pricing strategies.
A reduction in price by a specific percentage of the original price.
Example: 20% off a $100 item = $20 discount, making the final price $80.
A specific dollar amount deducted from the original price.
Example: $15 off a $75 item = 20% discount, making the final price $60.
Purchase one item at full price and receive another at a reduced price or free.
Example: Buy one get one free on $40 items = 50% discount on the total ($40 instead of $80).
Calculation | Formula | Example |
|---|---|---|
| Discount Amount | Original Price × (Discount Percentage ÷ 100) | $50 × (25 ÷ 100) = $12.50 |
| Sale Price | Original Price - Discount Amount | $50 - $12.50 = $37.50 |
| Discount Percentage | (Discount Amount ÷ Original Price) × 100 | ($12.50 ÷ $50) × 100 = 25% |
| Original Price | Sale Price ÷ (1 - (Discount Percentage ÷ 100)) | $37.50 ÷ (1 - (25 ÷ 100)) = $50 |
When calculating discounts, it's important to understand the difference between "percent off" and "percent of original price":
This is the percentage by which the original price is reduced. For example, a 30% off sale means you pay 70% of the original price.
Formula: Sale Price = Original Price × (1 - (Discount Percentage ÷ 100))
This is the percentage of the original price that you pay. For example, paying 70% of the original price means you get a 30% discount.
Formula: Sale Price = Original Price × (Percentage of Original Price ÷ 100)
Calculate the actual savings – Don't be misled by the size of the discount percentage. A 50% discount on a $20 item saves you $10, while a 20% discount on a $100 item saves you $20.
Compare final prices, not discount percentages – When comparing similar products, focus on the final price rather than which has the higher discount.
Be aware of reference pricing – Sometimes retailers inflate the "original" price to make discounts seem more significant.
Consider taxes and shipping – These can significantly affect the final price, especially for online purchases.
Watch for stacking discounts – Some retailers allow you to combine multiple discounts, like a sale price plus a coupon code, which can lead to significant savings.
When multiple discounts are applied sequentially, they compound rather than add. For example:
Original price of an item: $100
First discount: 20% off → $100 × (1 - 0.20) = $80
Second discount: 10% off → $80 × (1 - 0.10) = $72
Total discount: $28 or 28% (not 30%)
Formula for combined discount rate: 1 - ((1 - rate1) × (1 - rate2))
Sales tax is almost always calculated after discounts are applied. The correct sequence is:
Apply the discount to the original price to get the discounted price
Calculate the sales tax based on the discounted price
Add the sales tax to the discounted price to get the final price
Common discount percentages and their fraction equivalents:
| 10% off | 1/10 off | Pay 90% of price |
| 20% off | 1/5 off | Pay 80% of price |
| 25% off | 1/4 off | Pay 75% of price |
| 33.3% off | 1/3 off | Pay 2/3 of price |
| 50% off | 1/2 off | Pay half price |
| 66.7% off | 2/3 off | Pay 1/3 of price |
| 75% off | 3/4 off | Pay 1/4 of price |
For quick calculations without a calculator:
| 10% off | $6 discount | $54 final price |
| 25% off | $15 discount | $45 final price |
| 50% off | $30 discount | $30 final price |
Learn how to quickly calculate discounts, compare offers, and maximize your savings with these tips and strategies.
This video explains how to calculate different types of discounts, how to compare offers, and how to make informed purchasing decisions.