QUOTE ARITHMETIC

From discount to invoice, step by step.

Apply three discounts in sequence. See tax-inclusive and exclusive amounts and the effective discount.

WHAT WILL THIS CALCULATE?

I know price and discounts → what are the final unit and total amounts?

1. Check the example2. Enter your values3. See the result

Discounts apply successively: 10% then 5% equals 14.5%, not 15%.

Starting values are examples. Replace dimensions and prices with your product or quote.

Enter your values

20% is an example input only. Enter the applicable tax rate for your product and transaction.

A VISUAL RESULT FROM YOUR INPUTSQUOTE ARITHMETIC
Preparing result

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Calculating…

REUSE YOUR WORK

Save a scenario. Continue later.

Use Save to keep up to 10 scenarios for this tool in this browser. They are not uploaded or synced across devices. Avoid saving on shared devices.

Back up / open on another device

The JSON file contains inputs only. Opening a scenario recalculates the result with the current engine. You can transfer the file yourself.

The method behind the calculation

Net amount = starting amount × (1 − discount₁) × (1 − discount₂) × (1 − discount₃). Tax-inclusive = net × (1 + VAT rate).

Assumptions and limits

Successive discounts do not add: 10% followed by 5% gives 14.5%. For tax-inclusive inputs, the net base is extracted using the entered rate. This is single-rate arithmetic, excluding exemptions, withholding, import taxes and legal invoice generation. Intermediate values retain precision; displayed money is rounded to two decimals.

WORKED EXAMPLE

Follow the example calculation.

For 10 units priced at 1,000 excluding VAT, the starting net amount is 10,000. A 10% discount followed by 5% leaves 8,550. At the example 20% VAT rate, VAT is 1,710, the total is 10,260 and the tax-inclusive unit price is 1,026.

Frequently asked questions

Why is 10% followed by 5% not a 15% discount?

The second 5% applies to the 90% left after the first discount. The remaining share is 0.90 × 0.95 = 0.855, giving an effective discount of 14.5%.

How is the net amount extracted from a VAT-inclusive price?

Divide the inclusive amount by 1 plus the VAT rate. For an entered rate of 20%, 1,200 / 1.20 = 1,000. Simply subtracting 20% from the inclusive amount gives a different result.

Does this output replace a legal invoice?

No. This tool performs arithmetic with a single rate that you provide. It does not apply exemptions, withholding or legal invoice issuance requirements.

Inputs are processed on this device. Example figures are not quotes or live market prices.