Answered

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Kena is about to list her house as For Sale By Owner. What is the minimum she can list the house if she wants to receive a minimum of $231,700 on the sale while still allowing for a 4% commission for the buyer's realtor? Round to the nearest hundred dollars.

Sagot :

Recall that the a% of b can be computed using the following expression:

[tex]b\cdot\frac{a}{100}\text{.}[/tex]

Ler x be the amount (in dollars) that Kena lists her house, since the commission for the buyer's realtor is 4%, then she will receive the 96% of x.

Now, since Kena wants to receive a minimum of $231,700, then we can set the following equation:

[tex]x\cdot\frac{96}{100}=231700.[/tex]

Multiplying the above equation by 100/96 we get:

[tex]\begin{gathered} x\cdot\frac{96}{100}\cdot\frac{100}{96}=231700\cdot\frac{100}{96}, \\ x\approx241354.17. \end{gathered}[/tex]

Answer: $241,354.17.

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