Trade Discounts and Discount Series
Learning objectives
After this section you will be able to:
- Find a net price after a trade discount.
- Apply a series of trade discounts in order.
- Calculate a single equivalent discount.
Real-life situation
A club buys event supplies
Use this hypothetical Philadelphia-area scenario to connect the calculation to a decision. All people, businesses, amounts, and rates in this chapter are invented; tax and payroll rules are teaching assumptions, not current law.
A club buys event supplies
- Supplier list price: $800.00
- Trade discounts: 25%, then 10%
- Net merchandise price: $540.00
The concept
A trade discount reduces a supplier list price before the invoice amount is established. It may reflect a buyer category or order arrangement. A list price is a reference price, not necessarily the amount that any particular buyer pays.
For one discount, multiply list price by the discount rate and subtract that amount. The complementary rate, 1 minus the decimal discount rate, is the net price factor. Multiplying by this factor gives the same result before any rounding differences.
A discount series applies each discount to the price remaining after the previous discount. A 25% and 10% series does not mean 35% off. The second discount has a smaller base. On an $800 order, the discounts are $200 and $60, not $200 and $80.
The product of the net price factors gives the series net factor. Subtract it from 1 to find an equivalent single discount. This equivalent rate compares offers clearly, but actual invoices should follow the stated cent-rounding procedure for each discount. Freight and tax remain separate unless the contract says otherwise.
Successive discounts use a changing base
Bars share a zero baseline.
Money Words
Plain-language words you will use in this lesson — learn them before we reach the formulas.
invoice
A document listing goods or services sold and the amount owed.
payment terms
The rules in an agreement about when a bill must be paid and any discounts for paying early.
discount
An amount taken off a regular price.
Key terms
- List price
- Supplier reference price before trade discounts.
- Trade discount
- Price reduction used to establish the merchandise invoice price.
- Net price
- Merchandise amount remaining after trade discounts.
- Net price factor
- Fraction of a price left after discounts.
- Equivalent discount
- One discount rate matching a discount series before rounding.
Formulas & rules
Single discount
Net price = list price × (1 − decimal discount rate)
Series factor
Net factor = (1 − d1) × (1 − d2)
Equivalent discount
Equivalent decimal discount = 1 − net factor
Worked examples
A $600 supply order receives a 20% trade discount. Find its net merchandise price.
Solution
- 1Convert 20% to 0.20.
- 2Discount: 600 × 0.20 = $120.00.
- 3Net price: 600 − 120 = $480.00.
Answer: Net merchandise price: $480.00.
An $800 list-price order receives 25% and 10% trade discounts. Find its net price and equivalent discount.
Solution
- 1First discount: 800 × 0.25 = $200.00; remaining price = $600.00.
- 2Second discount: 600 × 0.10 = $60.00; net price = $540.00.
- 3Net factor: 0.75 × 0.90 = 0.675.
- 4Equivalent discount: 1 − 0.675 = 0.325 = 32.5%.
Answer: Net price $540.00; equivalent discount 32.5%.
Practice exercises 7.1
- Find the net price of a $250 order with a 12% trade discount.
- Apply 20% and 5% trade discounts to $1,000.
- Find the equivalent discount for 20% and 5%.
- A $400 net price follows a 20% trade discount. Find list price.
- Which costs less on a $500 list: 30% off or 20% then 15% off?
Recap quiz 7.1
Section 7.1 recap
- Apply each trade discount to the remaining merchandise price.
- Use net factors to compare discount series.
Answer key with explanations: Section 7.1
Practice exercises
- Discount = 250 × 0.12 = $30.00; net = $220.00.
- First net = 1000 × 0.80 = $800.00; second discount = $40.00; final net = $760.00.
- Net factor = 0.80 × 0.95 = 0.76; equivalent discount = 1 − 0.76 = 24%.
- Net factor = 0.80; list price = 400 ÷ 0.80 = $500.00.
- Single discount leaves 500 × 0.70 = $350.00. Series leaves 500 × 0.80 × 0.85 = $340.00, so the series saves $10.00 more.
Recap quiz
- $170: 200 − 200 × 0.15 = $170.
- 0.72: 0.90 × 0.80 = 0.72.
- Each uses a new base: The second discount is based on the reduced price, not the original list price.