The average number of lemons in Box T, Box U and Box V is 24 and it is 8 more than the average number of persimmons in the 3 boxes. ¹₆ of the persimmons are in Box T and the persimmons in Box T is 80% of the number of persimmons in Box U. If each box has the same number of fruits, what percentage of the fruits in Box V are lemons?
Average number of persimmons
= 24 - 8
= 16

Total number of persimmons
= 3 x 16
= 48

Total number of lemons
= 3 x 24 
= 72

Total number of fruits
= 48 + 72
= 120

Number of fruits in each box
= 120 ÷ 3
= 40

Persimmons in Box T	Persimmons in Box U	Persimmons in Box V	Total persimmons
1x4	5x4		6x4
4x1	5x1
4 u	5 u	15 u	24 u

80% = ⁸⁰₁₀₀ = ⁴₅

The number of persimmons in Box T is repeated.  Make the number of persimmons in Box T the same.  LCM of 1 and 4 is 4. 

Total number of persimmons
= 4 u + 5 u + 15 u
= 24 u

24 u = 48

1 u = 48 ÷ 24 = 2

Number of persimmons in Box V
= 15 u
= 15 x 2
= 30

Number of lemons in Box V
= 40 - 30
= 10

Percentage of the fruits in Box V are lemons
= ¹⁰₄₀ x 100%
= 25%

Answer(s): 25%