The average number of pomegranates in Box G, Box H and Box J is 55 and it is 10 more than the average number of chikoos in the 3 boxes. ¹₅ of the chikoos are in Box G and the chikoos in Box G is 60% of the number of chikoos in Box H. If each box has the same number of fruits, what percentage of the fruits in Box J are pomegranates?
Average number of chikoos
= 55 - 10
= 45

Total number of chikoos
= 3 x 45
= 135

Total number of pomegranates
= 3 x 55 
= 165

Total number of fruits
= 135 + 165
= 300

Number of fruits in each box
= 300 ÷ 3
= 100

Chikoos in Box G	Chikoos in Box H	Chikoos in Box J	Total chikoos
1x3	4x3		5x3
3x1	5x1
3 u	5 u	7 u	15 u

60% = ⁶⁰₁₀₀ = ³₅

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

Total number of chikoos
= 3 u + 5 u + 7 u
= 15 u

15 u = 135

1 u = 135 ÷ 15 = 9

Number of chikoos in Box J
= 7 u
= 7 x 9
= 63

Number of pomegranates in Box J
= 100 - 63
= 37

Percentage of the fruits in Box J are pomegranates
= ³⁷₁₀₀ x 100%
= 37%

Answer(s): 37%