A store owner has 50 more mangosteens than passion fruits. After he sold 70% of the mangosteens and 20% of the passion fruits, he is left with 40 more passion fruits than mangosteens. What fraction of the fruits left were passion fruits?

	Mangosteens		Passion fruits
Comparing mangosteens and passion fruits at first	50 more
Before	10x1 = 10 u	+ 50	5x2 = 10 u
Change	- 7x1 = - 7 u	- 35	- 1x2 = - 2 u
After	3x1 = 3 u	+ 15	4x2 = 8 u
Comparing mangosteens  and passion fruits in the end			40 more

70% = ⁷⁰₁₀₀ = ⁷₁₀ 
70% x 50 = ⁷₁₀ x 50 = 35
50 - 35 = 15

20% = ²⁰₁₀₀ = ¹₅ 

The number of passion fruits is 40 more than the number of mangosteens in the end. So, if another 40 mangosteens are added, the number of mangosteens and passion fruits in the end will be the same.

3 u + 15 + 40 = 8 u
3 u + 55 = 8 u
8 u - 3 u = 55
5 u = 55

1 u = 55 ÷ 5 = 11

Number of passion fruits left
= 8 u
= 8 x 11
= 88

Total number of fruits left
= 3 u + 15 + 8 u
= 11 u + 15
= 11 x 11 + 15
= 121 + 15
= 136

^{Passion fruits left}_{Total fruits left} = ⁸⁸₁₃₆ = ¹¹₁₇

Answer(s): ¹¹₁₇