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Business Mathematics and Basic Statistics · Ch 13 — Billing Discount and Average Billing Date

Trade (Billing) Discount and Net Price

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Trade (Billing) Discount and Net Price

When a seller bills a customer, the price printed on the price list — the list price (also called the catalogue or marked price) — is often reduced by a trade discount (also called a billing discount) before the customer actually has to pay. This chapter, part of the WBCHSE Class 12 Commerce Business Mathematics and Basic Statistics syllabus, covers two commercial-arithmetic techniques built around billing: computing discounts on an invoice, and finding the single representative date for a series of billed amounts due on different dates.

Note

Key Notation

LL = list price (the price before any discount), d%d\% = the rate of trade discount allowed, and NN = net price (the actual amount the customer pays, after the discount).

A trade discount is simply a percentage reduction applied to the list price:

Note

Net Price After a Single Trade Discount

N=L(1−d100)N = L\left(1 - \frac{d}{100}\right)

and the discount amount itself is L−N=L×d100L - N = L\times\dfrac{d}{100}.

This is exactly the same percentage-reduction idea already met in earlier chapters of this syllabus (for instance, computing a tax-inclusive or tax-exclusive price); here it is applied specifically to a seller's invoice.

Definition 1List Price (L)

The price of goods as printed on a price list or catalogue, before any trade discount is deducted.

Definition 2Trade (Billing) Discount

A percentage reduction allowed by a seller on the list price when billing a customer, usually to encourage bulk purchase or maintain a trade relationship.

Definition 3Net Price (N)

The actual amount a customer pays after a trade discount has been deducted from the list price: N=L−discount amountN = L - \text{discount amount}.