Arnold sold two houses, each for $265,000. He made a profit ofpercent did he lose on the sale of both houses?

30% on one house, and sold the other at a 30% loss. What total

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- Dec 2nd 2009, 12:49 PMsri340Percentage problemArnold sold two houses, each for $265,000. He made a profit ofpercent did he lose on the sale of both houses?

30% on one house, and sold the other at a 30% loss. What total

- Dec 2nd 2009, 01:33 PMmasters
Hi sri340,

I hope I interpret your problem correctly.

If he received $265,000 on the sale of house (1) which included a 30% profit, then the original cost of the house was:

$\displaystyle 265000=H_1+.3x$

$\displaystyle H_1=203846.15$

If he received $265000 on the sale of house (2) which included a 30% loss, then the original cost of the house was:

$\displaystyle 265000=H_2-.3x$

$\displaystyle H_2=378571.43$

So, the original worth of both houses was $582,417.58.

He sold them both for 2($265,000)= $530,000.

That's a loss of $52,417.58.

The % of loss is $\displaystyle \frac{52417.58}{582417.58} \approx 9$%.