A bag was sold at a certain price. Had it been sold at \(23 \frac{1}{3}\)% of this price, there would have been a loss of \(33 \frac{1}{3}\)%. Find the percentage profit obtained by selling it at 65% of the original selling price.

1
\(81 \frac{5}{7}\)%
2
\(82 \frac{5}{7}\)%
3
\(85 \frac{5}{7}\)%
4
\(83 \frac{5}{7}\)%

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