Two bottles of the same capacity are 35% and $33\frac{1}{3}$% full of orange juice, respectively. They are filled up completely with apple juice and then the contents of both bottles are emptied into another vessel. The percentage of apple juice in the mixture is:

$65\frac{5}{6}$

 Average %age  of orange juice in new vessel = \(\frac{35 + 33 + 1/3}{2}\) =  34\(\frac{1}{6}\)%

( capacity of both the bottles are same )

SO , percentage of Apple juice in new vessel = 1 - 34\(\frac{1}{6}\)%

= 65\(\frac{5}{6}\)%