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gold from gems trade divided by the gold for buying gems
then the cost of gems to buy gold divided by how many gems you get when buying them with gold and if this number is small the your first one you will make a profit
You will never make any profits by converting gold to gems to gold, you will always lose nearly 20% with every conversion.
How about we actually do the math then, since it seems you are unable to.
250 gold for 886 gems is 0.28 gold per gem.
2000 gems for 831 gold is 2.41 gems per gold.
If you had 1000 gold and converted it to gems (X2.41), you would have 2410 gems. If you converted that back to gold (X0.28), you would have 675 gold. Doesn't look like "a profit in gold and gems" to me,
In order to actually profit in this scenario, the gold per gem would have to be at least 0.42, or the gems per gold would have to be at least 3.57.