Question

At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which expression represents how much she will receive in commission from the sale?

Answer 1

Given:

• A sales person sells a dishwasher for $$569$.
• Rate of commission received by the sales person = $18$%

To find:

The expression representing how much the sales person will receive as commission.

Rate:

Rate is defined as the ratio between two different quantities in different units. The word "per" is used to separate the two different quantities.

Solution:

As per the given data,

• Cost of the dish washer sold by the sales person is $$569$. Let this be denoted by '$C$'.
• Rate of commission received by sales person for selling the dish washer is $18$%. Let this be denoted by '$R$'.
• Let the commission received by the sales person denoted by '$x$'.
• Using the above data, the amount, the sales person receives as commission is given by the expression:

$x=(R/100)*C$.....(1)

• Using the equation (1), the required commission amount is calculated as follows:

$x=(18/100)*569\\x=0.18*569\\x=102.42$

⇒The amount received by the sales person = $$102.42$

Final Answer:

∴ The commission received by the sales person for selling the dish washer is $$102.42$.

And, the required expression is given by $x=(R/100)*C$.