At a real estate​ agency, an agent sold a house for ​$327,000. The commission rate is 5.5​% for the real estate agency and the commission rate for the agent is 30​% of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?

Respuesta :

Agency will get $8589.50 and the agent will earn $5395.50

Step-by-step explanation:

Price of house = $327000

Commission rate for agency = 5.5% = [tex]\frac{5.5}{100} = 0.055[/tex]

Commission amount = 0.055*327000 = $17985

Commission rate for agent = 30% of Agency commission

Commission amount for agent =  [tex]\frac{30}{100}*17985=\frac{539550}{100}\\[/tex]

Commission amount for agent = $5395.50

Agency's commission = Agency's commission amount - agent's commission

Agency's commission = 17985 - 5395.50 = $8589.50

Agency will get $8589.50 and the agent will earn $5395.50

Keywords: commission rate, subtraction

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