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| Math Central | Quandaries & Queries |
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Question from Beth If Sales Prices is $\$170975$ and commission is 6% but listing agent gets 60% of the 6% and selling agent gets 40% of the 6% what is the actual percentage that each would actually receive? |
Hi Beth,
The commission is 6% of $\$170975$ which is $0.06 \times 170975$ dollars. The listing agent receives 60% of the commission so he receives
\[0.60 \times (0.06 \times 170975) = (0.60 \times 0.06) \times 170975 \mbox{ dollars.}\]
But $0.60 \times 0.06 = 0.036$ and hence the selling agent receives
\[0.036 \times 170975 \mbox{ dollars.}\]
But 0.036 = 3.6% so the selling agent receives 3.6% of the commission.
Penny
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