A store owner has 24 less oranges than passion fruits. After he sold 75% of the oranges and 30% of the passion fruits, he is left with 21 less oranges than passion fruits. What fraction of the fruits left were oranges?

	Oranges		Passion fruits
Comparing oranges and passion fruits at first			24 less
Before	4x5 = 20 u	+ 24	10x2 = 20 u
Change	- 3x5 = - 15 u	- 18	- 3x2 = - 6 u
After	1x5 = 5 u	+ 6	7x2 = 14 u
Comparing oranges  and passion fruits in the end	21 less

75% = ⁷⁵₁₀₀ = ³₄ 
75% x 24 = ³₄ x 24 = 18
24 - 18 = 6

30% = ³⁰₁₀₀ = ³₁₀ 

The number of oranges is 21 less than the number of passion fruits in the end. So, if another 21 oranges are added, the number of oranges and passion fruits in the end will be the same.

5 u + 6 + 21 = 14 u
5 u + 27 = 14 u
14 u - 5 u = 27
9 u = 27

1 u = 27 ÷ 9 = 3

Number of oranges left
= 5 u + 6
= 5 x 3 + 6
= 15 + 6
= 21

Total number of fruits left
= 5 u + 6 + 14 u
= 19 u + 6
= 19 x 3 + 6
= 57 + 6
= 63

^{Oranges left}_{Total fruits left} = ²¹₆₃ = ¹₃

Answer(s): ¹₃