There are various different plays on the account names dependent upon the system your using but basically, Yes.
(Cr) Bank (Dr) Drawings
Shaun.
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Shaun
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As regards to tax there is no differentiation between the person and the business, so if a business makes a profit of £20,000 but the trader draws only £5000, the tax will be based on the profits of the business, ie £20000. Similarly if there was a profit of £5000 but the trader drew £20,000 (overdraft etc) they will be taxed on £5000 (profit of business)