The average number of chikoos in Box L, Box M and Box N is 46 and it is 4 more than the average number of persimmons in the 3 boxes. ¹₉ of the persimmons are in Box L and the persimmons in Box L is 40% of the number of persimmons in Box M. If each box has the same number of fruits, what percentage of the fruits in Box N are chikoos?
Average number of persimmons
= 46 - 4
= 42

Total number of persimmons
= 3 x 42
= 126

Total number of chikoos
= 3 x 46 
= 138

Total number of fruits
= 126 + 138
= 264

Number of fruits in each box
= 264 ÷ 3
= 88

Persimmons in Box L	Persimmons in Box M	Persimmons in Box N	Total persimmons
1x2	8x2		9x2
2x1	5x1
2 u	5 u	11 u	18 u

40% = ⁴⁰₁₀₀ = ²₅

The number of persimmons in Box L is repeated.  Make the number of persimmons in Box L the same.  LCM of 1 and 2 is 2. 

Total number of persimmons
= 2 u + 5 u + 11 u
= 18 u

18 u = 126

1 u = 126 ÷ 18 = 7

Number of persimmons in Box N
= 11 u
= 11 x 7
= 77

Number of chikoos in Box N
= 88 - 77
= 11

Percentage of the fruits in Box N are chikoos
= ¹¹₈₈ x 100%
= 12.5%

Answer(s): 12.5%