A store owner has 85 less passion fruits than lemons. After he sold 60% of the passion fruits and 10% of the lemons, he is left with 16 less passion fruits than lemons. What fraction of the fruits left were passion fruits?

	Passion fruits		Lemons
Comparing passion fruits and lemons at first			85 less
Before	5x2 = 10 u	+ 85	10x1 = 10 u
Change	- 3x2 = - 6 u	- 51	- 1x1 = - 1 u
After	2x2 = 4 u	+ 34	9x1 = 9 u
Comparing passion fruits  and lemons in the end	16 less

60% = ⁶⁰₁₀₀ = ³₅ 
60% x 85 = ³₅ x 85 = 51
85 - 51 = 34

10% = ¹⁰₁₀₀ = ¹₁₀ 

The number of passion fruits is 16 less than the number of lemons in the end. So, if another 16 passion fruits are added, the number of passion fruits and lemons in the end will be the same.

4 u + 34 + 16 = 9 u
4 u + 50 = 9 u
9 u - 4 u = 50
5 u = 50

1 u = 50 ÷ 5 = 10

Number of passion fruits left
= 4 u + 34
= 4 x 10 + 34
= 40 + 34
= 74

Total number of fruits left
= 4 u + 34 + 9 u
= 13 u + 34
= 13 x 10 + 34
= 130 + 34
= 164

^{Passion fruits left}_{Total fruits left} = ⁷⁴₁₆₄ = ³⁷₈₂

Answer(s): ³⁷₈₂