Commission, Piecework And Royalties
Theory
Some workers are paid based on what they produce or sell rather than hours worked. This page covers commission (percentage of sales), piecework (per item), royalties (per copy or percentage of revenue) and how to handle tiered (sliding) commission and reverse-rate problems.
Commission is a percentage of sales paid to a salesperson — common in real estate, retail and sales reps. It is often combined with a small fixed retainer (a guaranteed base amount paid regardless of sales).
Piecework is a fixed payment per item produced — common in factories, landscaping and dressmaking. Total pay is items × pay per item, sometimes with a higher rate above a threshold.
Royalties are payments to creators (authors, musicians, software developers, inventors) for use of their work — either as a percentage of net sales or a flat amount per copy sold.
Commission only:
Retainer plus commission:
Piecework (flat):
Royalty (per copy or percentage of net sales):
| Type | Formula |
|---|---|
| Commission only | sales × rate% |
| Retainer + commission | retainer + sales × rate% |
| Piecework (flat) | items × pay per item |
| Royalty (per copy) | copies sold × royalty per copy |
| Royalty (%) | net sales × rate% |
How to solve any commission, piecework or royalty problem
- Identify the pay structure — commission, retainer + commission, piecework (flat or threshold), or royalty (per-copy or percentage). Note any rates as decimals (6% → 0.06).
- Calculate each component. For tiered or threshold structures, break the sale or production into the relevant slices and apply each rate to its own slice.
- Add all components for the total. For reverse problems (given the total, find the rate or sales), set up an equation with one unknown and solve.
Convert 5% to 0.05, multiply by sales, then add the retainer.
| \(\text{commission}\) | \(=\) | \(12{,}400 \times 0.05\) |
| \(\text{commission}\) | \(=\) | \(\$620\) |
| \(\text{total}\) | \(=\) | \(320 + 620\) |
| \(\text{total}\) | \(=\) | \(\$940\) |
Split the sale into two tiers, apply each rate, then add.
| \(\text{tier 1}\) | \(=\) | \(400{,}000 \times 0.03 = \$12{,}000\) |
| \(\text{rest}\) | \(=\) | \(680{,}000 - 400{,}000 = \$280{,}000\) |
| \(\text{tier 2}\) | \(=\) | \(280{,}000 \times 0.015 = \$4{,}200\) |
| \(\text{total}\) | \(=\) | \(12{,}000 + 4{,}200 = \$16{,}200\) |
Pay the first 40 at the lower rate, the extra 18 at the higher rate, then add.
| \(\text{first 40}\) | \(=\) | \(40 \times 7.50 = \$300\) |
| \(\text{extra}\) | \(=\) | \(58 - 40 = 18\) |
| \(\text{above}\) | \(=\) | \(18 \times 9.50 = \$171\) |
| \(\text{total}\) | \(=\) | \(300 + 171 = \$471\) |
Let \(S\) be net sales. Set up the royalty equation and solve for \(S\).
| \(0.08 \times S\) | \(=\) | \(5{,}600\) |
| \(S\) | \(=\) | \(\dfrac{5{,}600}{0.08}\) |
| \(S\) | \(=\) | \(\$70{,}000\) |
Common pitfalls
Frequently asked questions
What is the difference between commission and piecework?
Commission is a percentage of sales in dollars. Piecework is a fixed amount per item produced or sold. Commission scales with sale price, while piecework scales with the number of items.
What is a retainer?
A retainer is a fixed amount paid regardless of how much you sell. It is usually combined with a smaller commission rate so the worker has a guaranteed base income plus extra for sales.
How do you calculate tiered or sliding commission?
Work out the commission on each tier separately using the rate that applies in that tier, then add the tier amounts together. Do not apply just one rate to the whole sale.
How do you turn a percentage rate into a multiplier?
Divide by 100. So 6% becomes 0.06 and 4.5% becomes 0.045. Do not multiply by 6 or 4.5 — that would be 600% or 450%.
What is a royalty and how is it different from commission?
A royalty is a payment to a creator (author, musician, inventor) for the use or sale of their work. It is similar in maths to commission, but it is paid to the creator from revenue rather than to a salesperson from a sale.
How do you find total sales if you know the royalty amount and rate?
Divide the royalty amount by the rate as a decimal. For example, \(\$5{,}600\) in royalties at 8% gives sales of \(\dfrac{5{,}600}{0.08} = \$70{,}000\).
Video Lessons
Practice Questions
12 questions available.
Practice Questions