A store owner has 45 less persimmons than starfruits. After he sold 80% of the persimmons and 30% of the starfruits, he is left with 51 less persimmons than starfruits. What fraction of the fruits left were persimmons?

	Persimmons		Starfruits
Comparing persimmons and starfruits at first			45 less
Before	5x2 = 10 u	+ 45	10x1 = 10 u
Change	- 4x2 = - 8 u	- 36	- 3x1 = - 3 u
After	1x2 = 2 u	+ 9	7x1 = 7 u
Comparing persimmons  and starfruits in the end	51 less

80% = ⁸⁰₁₀₀ = ⁴₅ 
80% x 45 = ⁴₅ x 45 = 36
45 - 36 = 9

30% = ³⁰₁₀₀ = ³₁₀ 

The number of persimmons is 51 less than the number of starfruits in the end. So, if another 51 persimmons are added, the number of persimmons and starfruits in the end will be the same.

2 u + 9 + 51 = 7 u
2 u + 60 = 7 u
7 u - 2 u = 60
5 u = 60

1 u = 60 ÷ 5 = 12

Number of persimmons left
= 2 u + 9
= 2 x 12 + 9
= 24 + 9
= 33

Total number of fruits left
= 2 u + 9 + 7 u
= 9 u + 9
= 9 x 12 + 9
= 108 + 9
= 117

^{Persimmons left}_{Total fruits left} = ³³₁₁₇ = ¹¹₃₉

Answer(s): ¹¹₃₉