A store owner has 52 more mangosteens than passion fruits. After he sold 75% of the mangosteens and 40% of the passion fruits, he is left with 64 more passion fruits than mangosteens. What fraction of the fruits left were passion fruits?

	Mangosteens		Passion fruits
Comparing mangosteens and passion fruits at first	52 more
Before	4x5 = 20 u	+ 52	5x4 = 20 u
Change	- 3x5 = - 15 u	- 39	- 2x4 = - 8 u
After	1x5 = 5 u	+ 13	3x4 = 12 u
Comparing mangosteens  and passion fruits in the end			64 more

75% = ⁷⁵₁₀₀ = ³₄ 
75% x 52 = ³₄ x 52 = 39
52 - 39 = 13

40% = ⁴⁰₁₀₀ = ²₅ 

The number of passion fruits is 64 more than the number of mangosteens in the end. So, if another 64 mangosteens are added, the number of mangosteens and passion fruits in the end will be the same.

5 u + 13 + 64 = 12 u
5 u + 77 = 12 u
12 u - 5 u = 77
7 u = 77

1 u = 77 ÷ 7 = 11

Number of passion fruits left
= 12 u
= 12 x 11
= 132

Total number of fruits left
= 5 u + 13 + 12 u
= 17 u + 13
= 17 x 11 + 13
= 187 + 13
= 200

^{Passion fruits left}_{Total fruits left} = ¹³²₂₀₀ = ³³₅₀

Answer(s): ³³₅₀