Paper Unit Price Formula Including Postage Cost Calculation

Published on September 25, 2026

Word-Problem

Learn how to calculate the total unit price of different paper formats by adding the base price per sheet and the proportional postage cost per unit. Follow the step-by-step formula to accurately compare shipping expenses across varying paper weights and quantities.

Question

Unit price formula, including postage price, for different formats of paper

Answer

To calculate the unit price of paper when accounting for postage, you must distribute the fixed cost of shipping across the total number of units purchased.

1. The General Formula

The unit price ( ) is the sum of the base price per sheet and the proportional postage cost per sheet.
Where:
  • = Total cost of the paper (Base price Number of sheets)
  • = Total cost of postage/shipping
  • = Total number of sheets (units)

2. Formula by Format (Weight-Based)

Since postage is often determined by weight, the unit price changes based on the weight of the paper format. Let be the weight of a single sheet.
If postage is calculated by total weight ( ), the formula becomes:
Where is the postage rate function based on weight .

3. Step-by-Step Calculation Example

Suppose you are comparing two formats: Standard A4 (80 gsm) and Heavy Cardstock (300 gsm).
Given Data:
  • Format A (A4): 500 sheets at ; Postage is .
  • Format B (Cardstock): 100 sheets at ; Postage is .
Step 1: Calculate Total Cost for Format A
Step 2: Calculate Total Cost for Format B

4. Summary Table for Comparison

To find the most economical format, use this structure:
Format Base Price ( ) Postage ( ) Total Sheets ( ) Unit Price ( )
Format 1
Format 2

Theorems

• General Unit Price Formula

The unit price is calculated by dividing the sum of the total base cost and the total postage cost by the total number of sheets . Formula:

• Weight-Based Unit Price Formula

The unit price expressed as the sum of the base price per sheet and the postage function dependent on total weight divided by the total number of sheets . Formula: