The average number of persimmons in Box B, Box C and Box D is 36 and it is 8 more than the average number of chikoos in the 3 boxes. ¹₇ of the chikoos are in Box B and the chikoos in Box B is 30% of the number of chikoos in Box C. If each box has the same number of fruits, what percentage of the fruits in Box D are persimmons?
Average number of chikoos
= 36 - 8
= 28

Total number of chikoos
= 3 x 28
= 84

Total number of persimmons
= 3 x 36 
= 108

Total number of fruits
= 84 + 108
= 192

Number of fruits in each box
= 192 ÷ 3
= 64

Chikoos in Box B	Chikoos in Box C	Chikoos in Box D	Total chikoos
1x3	6x3		7x3
3x1	10x1
3 u	10 u	8 u	21 u

30% = ³⁰₁₀₀ = ³₁₀

The number of chikoos in Box B is repeated.  Make the number of chikoos in Box B the same.  LCM of 1 and 3 is 3. 

Total number of chikoos
= 3 u + 10 u + 8 u
= 21 u

21 u = 84

1 u = 84 ÷ 21 = 4

Number of chikoos in Box D
= 8 u
= 8 x 4
= 32

Number of persimmons in Box D
= 64 - 32
= 32

Percentage of the fruits in Box D are persimmons
= ³²₆₄ x 100%
= 50%

Answer(s): 50%