Answer:
About 12 vacuums
Explanation:
Commission refers to the sum of money, calculated in percentage, a person gets for helping another person sell his goods or perform a service.
The cost of one (1) vacuum is $249.
A salesperson is given 20% commission for each vacuum he/she sells. This means that, for each vacuum sold, the salesperson gets:
20% of $249 =
= 20/100 × 249
= 20 × 2.49
= 49.8
The salesperson gets $49.8 on every vacuum sold.
According to the question, to get an accumulated commission of $600, the salesperson must sell a specific number of vacuums.
Solving this using proportion (direct), we say;
If $49.8 commission is actualized on 1 vacuum sold
Then, $600 commission will be actualized on ?
Mathematically,
$49.8 commission = 1 vacuum
$600 commission = 600÷49.8
= 12.0481
Approximately, a total of 12 vacuums needs to be sold by the salesperson in order to accrue a $600 commission.
This is a direct proportion because as the number of vacuums sold increases, the commission of the salesperson also increases.