13/15/20/8 Calculate the Single Equivalent Discount Rate

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13/15/20/8 Single Equivalent Discount Rate Calculator
Net Price Factor (NPF):
Single Equivalent Discount Rate (SEDR): %
Final Net Price:
Total Savings Amount:

What is a Single Equivalent Discount Rate?

In wholesale and trade industries, it is common to see a series of discounts applied to a list price. For example, a 13/15/20/8 chain discount means that a product is first discounted by 13%, then the new price is discounted by 15%, and so on. The Single Equivalent Discount Rate (SEDR) is a single percentage that represents the total effect of this entire chain.

How to Calculate the 13/15/20/8 Discount Series

To find the SEDR, we do not simply add the percentages (13+15+20+8 = 56% is incorrect). Instead, we calculate the Net Price Factor (NPF) for each step.

Step 1: Convert each discount to a decimal and subtract from 1.
(1 – 0.13) = 0.87
(1 – 0.15) = 0.85
(1 – 0.20) = 0.80
(1 – 0.08) = 0.92

Step 2: Multiply the factors to get the Net Price Factor (NPF).
0.87 * 0.85 * 0.80 * 0.92 = 0.544272

Step 3: Subtract the NPF from 1 to find the SEDR.
1 – 0.544272 = 0.455728 (or 45.57%)

Why Use This Calculator?

Businesses use this calculation to compare different vendor terms. If one supplier offers a flat 45% discount and another offers a chain of 13/15/20/8, you need the SEDR to realize that the chain discount is actually better (45.57% vs 45%). This calculator allows you to input up to five discount levels to see the true mathematical impact on your bottom line immediately.

Practical Example

If you have a list price of $1,000 with a 13/15/20/8 discount series:

  • After 13% discount: $870.00
  • After 15% discount: $739.50
  • After 20% discount: $591.60
  • After 8% discount: $544.27

The final price is $544.27, which represents a total savings of $455.73 from the original $1,000 price tag.

function calculateSEDR() { var listPrice = parseFloat(document.getElementById("listPrice").value) || 0; var d1 = parseFloat(document.getElementById("disc1").value) || 0; var d2 = parseFloat(document.getElementById("disc2").value) || 0; var d3 = parseFloat(document.getElementById("disc3").value) || 0; var d4 = parseFloat(document.getElementById("disc4").value) || 0; var d5 = parseFloat(document.getElementById("disc5").value) || 0; // Convert percentages to complements (Net Price Factors) var f1 = (100 – d1) / 100; var f2 = (100 – d2) / 100; var f3 = (100 – d3) / 100; var f4 = (100 – d4) / 100; var f5 = (100 – d5) / 100; // Calculate total Net Price Factor (NPF) var npf = f1 * f2 * f3 * f4 * f5; // Calculate Single Equivalent Discount Rate (SEDR) var sedr = (1 – npf) * 100; // Calculate Final Prices var finalNetPrice = listPrice * npf; var totalSavings = listPrice – finalNetPrice; // Display Results document.getElementById("resNPF").innerText = npf.toFixed(6); document.getElementById("resSEDR").innerText = sedr.toFixed(2); document.getElementById("resNetPrice").innerText = finalNetPrice.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById("resSavings").innerText = totalSavings.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById("resultBox").style.display = "block"; }

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