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Well another way to think about the problem is this...

If after 10L of water is drawn out of the mixture, the proportion of spirit is now 15 1/9%, then 17% - 15 1/9% = 1 8/9% = (17/9)%
This further implies that every 10L of the mixture contained (17/9)% of spirit.

17 divide by (17/9) = 9, 9 * 10L = 90L
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Assuming that the vessel was initially full.

And it's volume is x

17/100(x-10)=136/900(x)

x=90 l



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