Discount Calculator
Calculate sale prices, savings, and discount percentages. Compare deals, understand stacked discounts, and find the best value on any purchase with our.
Formula
Sale Price = Original × (1 - Discount Rate)
Calculate the sale price by subtracting the discount percentage from 100%, then multiplying by the original price. Alternatively: Sale Price = Original - (Original × Discount%).
Worked Examples
Example 1: Standard Percentage Discount
Problem:A jacket originally priced at $150 is on sale for 35% off. What's the sale price and savings?
Solution:Step 1: Calculate discount amount Discount = Original × Rate Discount = $150 × 0.35 = $52.50 Step 2: Calculate sale price Sale Price = Original - Discount Sale Price = $150 - $52.50 = $97.50
Result:You save $52.50 and pay $97.50
Example 2: Finding the Discount Percentage
Problem:A TV was $800, now $560. What's the discount percentage?
Solution:Step 1: Calculate savings Savings = $800 - $560 = $240 Step 2: Calculate percentage Discount % = (Savings ÷ Original) × 100 Discount % = ($240 ÷ $800) × 100 Discount % = 0.30 × 100 = 30%
Result:The TV is 30% off
Example 3: Stacked Discount Calculation
Problem:A $200 item has 25% off, plus an extra 15% off with a coupon. What's the final price?
Solution:Step 1: Apply first discount (25%) After 25% off: $200 × (1 - 0.25) = $150 Step 2: Apply second discount (15%) to new price After 15% off: $150 × (1 - 0.15) = $127.50 Note: This is NOT 40% off! 40% off $200 would be $120 Actual total discount: ($200 - $127.50) ÷ $200 = 36.25%
Result:Final price: $127.50 (36.25% total discount, not 40%)
Frequently Asked Questions
How do I calculate a discount percentage?
To calculate a discount: Discount Amount = Original Price × (Discount Percentage ÷ 100). For example, 25% off $80: $80 × 0.25 = $20 discount. Final price = $80 - $20 = $60. To find the discount percentage from prices: ((Original - Sale) ÷ Original) × 100. If something drops from $80 to $60: (($80 - $60) ÷ $80) × 100 = 25% off.
How do stacked discounts work?
Stacked discounts are applied sequentially, not added together. A 20% discount followed by an additional 10% off is NOT 30% total. Example: $100 item with 20% off = $80, then 10% off $80 = $72. Total discount is only 28%, not 30%. The order doesn't matter mathematically: 10% then 20% also gives $72. Stacked discounts always result in less savings than adding the percentages.
What's the difference between 'percent off' and 'percent of'?
'Percent off' means you pay that much LESS - 30% off $50 means you pay $35. 'Percent of' means you pay that AMOUNT - 30% of $50 means you pay $15. They're complements: 30% off means you pay 70% of the price. When you see '70% off,' you pay 30% of the original. This distinction is crucial for understanding sale signs.
How do I compare unit prices when sizes differ?
Calculate price per unit for each: divide total price by quantity/size. Example: 12oz for $3.59 vs 16oz for $4.29. 12oz: $3.59 ÷ 12 = $0.30/oz. 16oz: $4.29 ÷ 16 = $0.27/oz. The larger size is better value per ounce. Many stores show unit prices on shelf tags. Always compare the same unit (ounce, pound, count) between products.
Is 'Buy One Get One 50% Off' the same as 25% off?
Yes, for two items of equal price! If both items cost $40: BOGO 50% = $40 + $20 = $60 total. 25% off each = $30 + $30 = $60 total. However, if items have different prices, BOGO 50% on the cheaper item saves less than 25% off both. Retailers often require the discount on the lesser-priced item. Always check which item gets the discount.
How do I calculate the original price from a sale price?
Use the formula: Original Price = Sale Price ÷ (1 - Discount Rate). Example: An item is $45 after 25% off. Original = $45 ÷ (1 - 0.25) = $45 ÷ 0.75 = $60. You can verify: $60 × 25% = $15 discount, $60 - $15 = $45 ✓. This is useful for price matching or understanding 'was/now' pricing.
What's better: a coupon for $10 off or 20% off?
It depends on the purchase amount. Find the break-even: $10 = Price × 0.20, so Price = $50. Below $50: $10 off is better (on $40, $10 off saves more than $8 from 20%). Above $50: 20% off is better (on $80, 20% saves $16 vs $10). At exactly $50: they're equal. Always calculate both options for your specific purchase.
How do clearance markdowns typically work?
Retailers often use progressive markdowns: Initial discount (20-30%), then deeper cuts every few weeks (40%, 50%, 70%, final clearance). Waiting can save more, but popular sizes/colors sell out. Strategy: Buy at 40-50% off for balance of savings and availability. Final clearance (70%+) often has limited selection. Some stores have predictable markdown schedules.
Are 'doorbuster' deals really the best prices?
Not always. Doorbuster items are often: loss leaders (sold below cost to attract customers), limited quantity, specific models cleared from inventory, or items with inflated 'original' prices. Compare prices online before shopping. The best deals are often mid-sale, not the headline doorbusters. Also watch for price manipulation - some retailers raise prices before sales.
How do I calculate savings on bulk/quantity discounts?
Compare per-unit cost: Single item: $5.00 each = $5.00/unit. Buy 3 for $12: $12 ÷ 3 = $4.00/unit (20% savings). Buy 10 for $35: $35 ÷ 10 = $3.50/unit (30% savings). But consider: Will you use it all before expiration? Storage space? Opportunity cost of money tied up? Sometimes buying more isn't actually better if items go to waste.
Background & Theory
Understanding discounts is essential consumer mathematics. Whether shopping for groceries, clothing, electronics, or major purchases, knowing how to calculate and compare discounts helps you make informed decisions and maximize your purchasing power.
Basic Discount Formulas:
Finding the Sale Price:
Sale Price = Original Price × (1 - Discount Rate)
Or: Sale Price = Original Price - (Original Price × Discount Rate)
Example: $80 item with 25% off
Sale Price = $80 × (1 - 0.25) = $80 × 0.75 = $60
Finding the Savings:
Savings = Original Price × Discount Rate
Example: $80 × 0.25 = $20 saved
Finding the Discount Percentage:
Discount % = ((Original - Sale) ÷ Original) × 100
Example: Was $80, now $60
Discount % = (($80 - $60) ÷ $80) × 100 = 25%
Finding the Original Price:
Original = Sale Price ÷ (1 - Discount Rate)
Example: Sale price $60 after 25% off
Original = $60 ÷ 0.75 = $80
Types of Retail Discounts:
- Percentage Off: Most common. "30% off all items."
- Dollar Amount Off: "$20 off orders over $100."
- Buy One Get One (BOGO): Free or discounted second item.
- Bundle Pricing: "3 for $10" when individually $4 each.
- Tiered Discounts: "10% off $50, 20% off $100, 30% off $150."
- Clearance/Markdown: Progressive price reductions to clear inventory.
- Coupon Stacking: Combining manufacturer and store coupons.
Understanding Stacked Discounts:
When multiple discounts apply sequentially, they multiply rather than add:
20% off + 10% off ≠ 30% off
Instead: (1 - 0.20) × (1 - 0.10) = 0.80 × 0.90 = 0.72
You pay 72% of original = 28% total discount
Formula for stacked discounts:
Final Price = Original × (1 - D1) × (1 - D2) × (1 - D3)...
Price Per Unit Comparison:
To compare values across different sizes:
Price Per Unit = Total Price ÷ Quantity
This works for:
- Ounces, pounds, liters
- Count (paper towels, diapers)
- Square footage
- Any measurable unit
Common Discount Traps:
- Inflated "Original" Prices: Some retailers set artificially high regular prices to make discounts seem larger.
- Minimum Purchase Requirements: "25% off when you spend $100" might not save money if you wouldn't otherwise spend that much.
- Excluded Items: Sale terms often exclude popular brands, new arrivals, or specific categories.
- Limited Quantities: "Up to 70% off!" but only a few items actually have that discount.
- Post-Sale Price Increases: Some items go up in price after sales, making the "regular" price meaningless.
Smart Shopping Strategies:
- Calculate actual savings before buying
- Compare unit prices, not just total prices
- Consider quality-per-dollar, not just lowest price
- Wait for sales on planned purchases
- Don't buy unnecessary items just because they're discounted
- Use price tracking tools for major purchases
- Factor in shipping/time costs for online deals