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There are two quantities that somebody could mean by the word "profit".
There's money profit and there's percentage profit.
X = how much Baka paid for the article.
0.15 = his percentage profit expressed as a decimal
0.15X = his money profit
Add the money he paid and his profit and get how much he sold it for:
X + 0.15X = 6900
1.00X + 0.15X = 6900
1.15X = 6900
X = 6900/1.15
X = 6000 <--what Baka paid for the article
If he had sold it for only $6600, the money value of his profit would have been
$6600 - $6000 = $600.
To find what percentage $600 is of $6000 we divide 600/6000 = 0.10 = 10%.
The money profit would have been $600 and the percentage profit would have been
10%.
Edwin