Question 55

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:

Let the capacity of bottles be 100 units.

Total capacity = 100 + 100 = 200 units

Apple juice in 1st bottle = 100 - 35 = 65

Apple juice in 2nd bottle = 100 - $$33 \frac{1}{3}$$ = 200/3

Total apple juice = 65 + 200/3= 395/3

The percentage of apple juice in the mixture = $$\frac{395}{3 \times 200} \times 100 =  65 \frac{5}{6}$$%

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