As mentioned it would depend on the specifics of the tournament in which the archer is competing, but in an archery competition the winner is either the person who has the highest cumulative total score after a set number of arrows, or the one who has successfully overcome all opponents faced in a knockout scenario.
In the event of a tied score the archer with the highest number of 10s (including inner 10s) is declared the victor. If that number is also equal the one with the greater number of inner 10s is the winner. Alternatively – or subsequently – a shoot-off can be used to separate the competitors who have tied.