Chained Discount Calculator

Apply two successive discounts and find the true effective rate.

Original price

First discount

Second discount

Applied to the already-discounted price.

Results update as you type.

Final price

—

Total savings—

Effective discount—

How it works

A chained discount calculator handles the deceptively tricky case where two discounts are applied one after another rather than added together. The instinct is to sum them — a 20 percent discount followed by a 10 percent discount feels like 30 percent off — but that is wrong, because the second discount applies only to the already-reduced price, not the original. You enter the original price and both discount percentages, and the tool returns the final price, the total dollars saved, and the true effective discount as a single percentage. Successive discounts appear everywhere: a store advertises 20 percent off, then adds a 10 percent loyalty discount at the till; a supplier offers a trade discount and then an early-payment discount on top; a clearance sale stacks a seasonal markdown on a member price. In every case the combined effect is less than the sum of the two rates, because each later discount works on a smaller base. In the classic example, 20 percent then 10 percent off $100 gives $72, an effective discount of 28 percent, not 30. The multiply method used here applies each discount in sequence by keeping the fraction of price that survives it, then compares the final price against the original to reveal the real rate. Shoppers use it to check whether stacked offers are as generous as they sound, and businesses use it to quote trade terms accurately and to understand the true cost of layering promotions.

Formula

Final = original × (1 − d1) × (1 − d2) · Effective = savings ÷ original × 100

Each discount leaves a fraction of the price behind: a 20 percent discount keeps 80 percent, or 0.8. Multiplying the original price by the surviving fraction of the first discount and then by the surviving fraction of the second applies them in sequence, because the second acts only on what the first left. Subtracting the final price from the original gives total savings, and dividing those savings by the original price expresses the whole chain as one effective discount rate.

Source:Standard pricing (successive discount) mathematics

We review all our tools from time to time to ensure accuracy.

Worked example

Original price:100First discount:20Second discount:10

Final = 100 × 0.80 × 0.90 = $72. Savings = $28. Effective discount = 28%, not 30%.

How to use this calculator

1
Enter your values
Enter original price, first discount and second discount.
2
Adjust the options
Fine-tune any options to match your situation.
3
Read your result
Final price updates instantly as you type — no button to press.

Frequently asked questions

Why don't the two discounts simply add up?

Because the second discount is applied to the already-reduced price, not to the original. A 20 percent discount followed by a 10 percent discount does not equal 30 percent off, since the 10 percent only acts on the 80 percent that remains after the first cut. The result is always less than the simple sum — in this case 28 percent effective rather than 30 — because each later discount works on a progressively smaller base.

Does the order of the discounts matter?

No. Because the discounts are multiplied together, the final price is identical regardless of which one is applied first — 20 percent then 10 percent gives the same result as 10 percent then 20 percent. Multiplication is commutative, so the effective discount and final price never change with order. This is useful to know when comparing offers, as sellers sometimes present the discounts in a different sequence, but the customer pays exactly the same amount either way.

What is an effective discount rate?

The effective discount rate is the single percentage off that would produce the same final price as the whole chain of discounts combined. It translates a stack of successive reductions into one honest figure you can compare against a single-discount offer. In the example, two discounts of 20 and 10 percent produce a 28 percent effective rate. Knowing the effective rate stops you from overestimating a stacked deal or under-quoting your own trade terms.

Where are chained discounts used in business?

They are common in wholesale and trade pricing, where a supplier might quote a list price less a trade discount, then less a further volume or early-payment discount. Retail promotions also stack them — a storewide sale plus a member discount plus a coupon. Understanding the true combined effect matters for margins: a business offering several layered discounts can give away far more than intended if it assumes the rates simply add together rather than compound down.

Can I chain more than two discounts?

Yes, the same principle extends to any number of successive discounts: multiply the original price by the surviving fraction of each one in turn. This calculator handles the two most common layers, which covers the majority of real trade and retail situations. For three or more, apply the result here as a new starting price and run it again, or extend the multiplication. The effective rate always ends up lower than the sum of the individual discounts.