BOGO Calculator Formula
Understand the math behind the bogo calculator. Each variable explained with a worked example.
Formulas Used
Effective Price Per Item
effective_per_item = pair_cost / 2Total Cost
total_cost = pair_cost * num_pairsTotal Savings
total_savings = item_price * bogo_pct / 100 * num_pairsVariables
| Variable | Description | Default |
|---|---|---|
item_price | Item Price(USD) | 12.99 |
bogo_pct | Second Item Discount(%) | 50 |
num_pairs | Number of Pairs | 1 |
pair_cost | Derived value= item_price + item_price * (1 - bogo_pct / 100) | calculated |
How It Works
How BOGO Deals Work
Buy-one-get-one promotions give a discount on the second item when you buy two. The discount on the second item can range from a small percentage to 100% (completely free).
Formula
Pair Cost = Full Price + Full Price x (1 - BOGO Discount / 100)
Effective Per Item = Pair Cost / 2
Worked Example
A store offers BOGO 50% off on items priced $12.99. You buy 1 pair.
item_price = 12.99bogo_pct = 50num_pairs = 1
- 01First item: $12.99 at full price
- 02Second item: $12.99 x (1 - 0.50) = $6.50
- 03Pair cost = $12.99 + $6.50 = $19.49
- 04Effective per item = $19.49 / 2 = $9.74
- 05Savings = $12.99 x 0.50 = $6.50
Ready to run the numbers?
Open BOGO Calculator