A store owner has 44 more pomegranates than mangoes. After he sold 75% of the pomegranates and 40% of the mangoes, he is left with 38 less pomegranates than mangoes. What fraction of the fruits left were mangoes?

	Pomegranates		Mangoes
Comparing pomegranates and mangoes at first	44 more
Before	4x5 = 20 u	+ 44	5x4 = 20 u
Change	- 3x5 = - 15 u	- 33	- 2x4 = - 8 u
After	1x5 = 5 u	+ 11	3x4 = 12 u
Comparing pomegranates  and mangoes in the end	38 less

75% = ⁷⁵₁₀₀ = ³₄ 
75% x 44 = ³₄ x 44 = 33
44 - 33 = 11

40% = ⁴⁰₁₀₀ = ²₅ 

The number of pomegranates is 38 less than the number of mangoes in the end. So, if another 38 pomegranates are added, the number of pomegranates and mangoes in the end will be the same.

5 u + 11 + 38 = 12 u
5 u + 49 = 12 u
12 u - 5 u = 49
7 u = 49

1 u = 49 ÷ 7 = 7

Number of mangoes left
= 12 u
= 12 x 7
= 84

Total number of fruits left
= 5 u + 11 + 12 u
= 17 u + 11
= 17 x 7 + 11
= 119 + 11
= 130

^{Mangoes left}_{Total fruits left} = ⁸⁴₁₃₀ = ⁴²₆₅

Answer(s): ⁴²₆₅