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Discount Calculator

Discount Calculator

Calculate sale prices and savings with percentage discounts, additional coupons, and bulk purchases. Perfect for shopping, retail planning, and budget management.

100% FreeStep-by-step CalculationMultiple Discounts
Discount Calculator
Calculate final prices and savings with multiple discount types
Enter to calculate, Esc to clear

Product or service base price

Number of items to purchase

Coupon, loyalty discount, or additional promotion

Discount Examples
Click on any example to automatically fill the calculator
Example

20% off $100 item

Price: $100
Discount: 20%
Quantity: 1
Example

30% off + $10 coupon, 2 items

Price: $250
Discount: 30%
Quantity: 2
Example

25% off + 5% additional discount

Price: $80
Discount: 25%
Quantity: 1
Example

15% off, bulk purchase

Price: $50
Discount: 15%
Quantity: 3
Discount Calculation Formulas
Sale Price Formula:
Sale Price=Original Price×(1Discount %100)\text{Sale Price} = \text{Original Price} \times \left(1 - \frac{\text{Discount \%}}{100}\right)
Amount Saved:
Savings=Original PriceSale Price\text{Savings} = \text{Original Price} - \text{Sale Price}

Whether you're hunting deals on Black Friday, Cyber Monday, or Amazon Prime Day, understanding how discounts actually work helps you spot real savings from marketing gimmicks. Let's break down real shopping scenarios you'll encounter at Target, Best Buy, and online retailers.

Black Friday Deal

iPhone 15 Pro

Original: $999
Deal: 15% off + extra $50 store credit

Calculation:

Step 1: $999 × 0.85 = $849.15

Step 2: $849.15$50\$849.15 - \$50

= $799.15 final (save $199.85!)

Clearance Pricing

Target Seasonal Item

Cost to store: $40
Goal: 30% profit margin

Retailer math:

If profit = 30%, cost = 70% of price

Price=$400.7\text{Price} = \frac{\$40}{0.7}

= $57.14 (retail tag)

Max discount to maintain margin: 30% off
Member Discount Stack

Amazon Prime Deal

Item: $200
Prime 10% + $20 coupon

Order matters:

First discount: $200 × 0.9 = $180

Then coupon: $180 - $20

= $160 (you pay)

⚠️ Reversed order gives different result!

Retail Tricks Exposed

❌ The "Was $X, Now $Y" Scam

🚫 Common Scam

Regular price: $49.99

Week before sale: "Worth $99.99"

Sale day: $99.99 → 50% OFF = $49.99

Looks like 50% off, actually same price!

✅ How to Spot It

  • Use price tracking (CamelCamelCamel, Honey)
  • Check 90-day price history
  • Compare across retailers (Google Shopping)
  • Look at review date patterns

🤔 Why 70% OFF + 70% OFF ≠ 140% OFF

This is one of the most dangerous shopping myths. Discounts multiply, they don't add!

Example: $100 item with "70% off TWICE"

Actual calculation:

First 70% off: $100 × 0.3 = $30

Second 70% off: $30 × 0.3 = $9

(Total discount = 91%, not 140%!)

Wrong assumption:

$100 - 70% - 70% = -$40 ← Impossible!

The Math:

Final=Original×(1d1)×(1d2)\text{Final} = \text{Original} \times (1-d_1) \times (1-d_2)

= $100 × 0.3 × 0.3 = $9

📊 When Percentage Beats Fixed Dollar (and Vice Versa)

Original Price30% Off$50 OffBetter Deal
$100$70$50 ✓$50 off wins
$200$140 ✓$15030% off wins
$500$350 ✓$45030% off wins
Breakeven point: For 30% off vs $50 off, they're equal at $166.67. Above that price, percentage discount saves more.

🎯 "Spend $100, Save $20" - Is It Worth It?

😵 Bad Deal Example

You need: $85 worth of items

Minimum for $20 off: $100

So you add: $15 filler items

Net: Spent $15 to "save" $20 = only $5 real savings

✅ Smart Approach

You need: $98 worth of items

Add $2 useful item (socks, snacks)

Net: Spent $2 to save $20 = $18 real savings

Rule: Only "spend to save" if added items cost less than the discount.

Formula Derivations & Reverse Calculations

1. Finding Original Price from Sale Price

Scenario: "An item is 25% off and costs $60. What was the original price?"

Known:Sale Price=Original×0.75\text{Sale Price} = \text{Original} \times 0.75
Derive:Original=Sale Price0.75\text{Original} = \frac{\text{Sale Price}}{0.75}
Answer:Original=$600.75=$80\text{Original} = \frac{\$60}{0.75} = \$80

2. Equivalent Discount Rate for Stacked Discounts

Scenario: "What's the total discount if I get 20% off, then another 15% off?"

Equivalent=1(1d1)×(1d2)\text{Equivalent} = 1 - (1-d_1) \times (1-d_2)=1(0.8×0.85)=10.68=0.32= 1 - (0.8 \times 0.85) = 1 - 0.68 = 0.32

Total discount = 32% (not 35%!)

General formula for n discounts:

Final Price=Original×i=1n(1di)\text{Final Price} = \text{Original} \times \prod_{i=1}^{n} (1 - d_i)
Discounts in Retail: Strategies & Tips

For Shoppers

  • Stack coupons with sales for maximum savings
  • Compare percentage vs. dollar discounts
  • Consider bulk purchases for volume discounts
  • Time purchases around seasonal sales
  • Use price comparison tools and apps

For Retailers

  • Use discounts to clear slow-moving inventory
  • Implement tiered discounts for larger orders
  • Create urgency with limited-time offers
  • Balance margin preservation with volume
  • Test different discount structures

Smart Shopping

  • Calculate true savings including taxes
  • Consider quality vs. discount trade-offs
  • Avoid impulse purchases just for discounts
  • Set budget limits before shopping sales
  • Read fine print on discount terms
Understanding Discounts

What is a Discount?

A discount is a reduction from the original price of a product or service. It's often expressed as a percentage or a fixed amount.

Types of Discounts

Common types include percentage off, fixed amount off, and stacked discounts where multiple reductions are applied.

Frequently Asked Questions

Multiply the original price by the discount percentage (as a decimal) to find the savings, then subtract that from the original price.

Save More Money

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Discount Calculator - Calculate Sale Price & Savings | MathIsimple