6th Grade Math Textbook, Fundamentals

 &KDSWHU

7-12

Commission

Objective To find the amount of commission • To find the commission rate •To find the

total sales •To compare commissions when the total sales and commission rates are given

A salesperson sells a computer system listed at $1500.
If his rate of commission is 7%, how much commission
does he earn on the sale?

To find the commission the salesperson will earn,

multiply the total sales and the rate of commission.

is the amount of money earned for

selling goods or services. The is

the percent of the total amount of goods or services

sold that is earned by the seller. The refers

to the total amount of goods or services sold.

You can write and solve an equation or a

proportion to find the amount of commission

when you know the total sales and the

commission rate.

total sales

commission rate

Commission

Key Concept

Commission

commission commission rate • total sales

commission rate 

total sales commission ratecommission

commission

total sales

Method 1 Write and Solve an Equation

commission commission rate • total sales

Let Cthe amount of commission.

C7% • $1500

C0.07• $1500

C$105.00

So the salesperson earns a commission of $105.

Write 7% as a decimal,

then multiply.

Multiply the total sales, $1500,

by the rate of commission, 7%.

Method 2 Write and Solve a Proportion





100 C 7 • $1500

 Divide both sides by 100.

C$105.00

commission rate (%)

100

$10,500

100

100 C

100

Substitute the known

values, then cross multiply.

7

100

C

$1500

commission (C)

total sales

You can write and solve an equation or a proportion to find the commission

rate when you know the total sales ($1500) and the commission ($105).

Method 1 Write and Solve an Equation

commission rate 

Let Rthe commission rate.

R Substitute the known values.

R0.07 Divide to simplify.

R7% Write the decimal as a percent.

So the commission rate is 7%.

105

150 0

commission

total sales

Method 2 Write and Solve a Proportion



Letn the unknown percent.



105 • 100 150 0n

 Divide both sides by 1500.

7 n

So 7%.

150 0n

150 0

10,500

150 0

n

100

105

150 0

commission

total sales

commission rate (%)

100

Substitute the known

values, then cross multiply.

n

100