SOLUTION: Sara a buyers agent with XYZ Realty made $4140 after closing. Sara has a 60/40 commission split with XYZ realty. The listing company has offered to pay a buyers agent 3% out of 6%

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Question 884447: Sara a buyers agent with XYZ Realty made $4140 after closing. Sara has a 60/40 commission split with XYZ realty. The listing company has offered to pay a buyers agent 3% out of 6% total commission. What is the sales price of the property?
*** The answer is $230,000 I need to know the steps to arrive at the answer
Thanks in advance.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First, she gets 3%, or half, of the 6% commission
Let +x+ = the sales price of the property
+.03x+ = her commission
-------------------------
Then She does a 60/40 commission split, so
she is left with +%28+60%2F100+%29%2A%28+.03x+%29+
+%28+60%2F100+%29%2A%28+.03x+%29+=+4140+
+%28+3%2F5+%29%2A%28+.03x+%29+=+4140+
+.03x+=+%28+5%2F3+%29%2A4140+
+.03x+=+6900+
+x+=+6900+%2F+.03+
+x+=+230000+
The sales price of the property is $230,000