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Mathematics and Statistics · Ch 18 — Commercial Mathematics

Commission and Brokerage

4

Commission and Brokerage

Businesses often sell through agents rather than directly. The agent is paid out of the value of the business transacted.

Commission and brokerage

  • Commission — the remuneration paid to an agent/salesman for services (usually selling goods), computed as a percentage of the turnover (value of sales). Commission=Rate%×Sales.\text{Commission}=\text{Rate}\%\times\text{Sales}.
  • Brokerage — the charge of a broker, a middleman who brings a buyer and seller together, computed as a percentage of the transaction value. A broker frequently charges both parties.

Slab (differential) commission

Many schemes pay a higher rate on sales above a threshold. Split the turnover into the slabs and apply each slab's rate separately, then add.

Note

Net proceeds to the principal

When an agent sells goods on a principal's behalf, the principal receives the sales value minus the agent's commission (and any expenses):

Net proceeds=Sales−Commission.\text{Net proceeds}=\text{Sales}-\text{Commission}. …

Definition 1Commission

An agent's/salesman's pay, =Rate%×Sales=\text{Rate}\%\times\text{Sales}. May use different rates on different slabs of turnover (dif …

Definition 2Brokerage

A broker's charge as a percentage of the transaction value; often levied on both the buyer …

Definition 3Net proceeds

What the principal actually receives: Sales−Commission\text{Sales}-\text{Commission} (less any expenses th …