Irene had some chikoos and passion fruits in 2 boxes. In Box B, the number of chikoos to the number of passion fruits was in the ratio of 4 : 9. In Box C, there were four times as many chikoos as passion fruits. After Irene transferred ¹₃ of the passion fruits from Box B to Box C, the number of fruits left in Box B was 270 and the ratio of the number of chikoos to the number of passion fruits in Box B became 5 : 8. How many fruits were in Box C in the end?

	Box B		Box C
	Chikoos	Passion Fruits	Chikoos	Passion Fruits
Before	4 u	9 u	4x5 =  20 p	1x5 = 5 p
Change		- 3 u		+ 3 u (+ 27 p)
After	4 u	6 u	5x4 = 20 p	8x4 = 32 p

Number of passion fruits that Irene transferred from Box B to Box C
= ¹₃ x 9 u
= 3 u

Total number of fruits in Box B in the end
= 4 u + 6 u
= 10 u

10 u = 270
1 u = 270 ÷ 10 = 27

The number of chikoos in Box C is the unchanged quantity.
LCM of 4 and 5 is 20.

Number of passion fruits that Irene transferred from Box B to Box C
= 3 u
= 3 x 27
= 81

Increase in the number of passion fruits that due to the transfer from Box B to Box C
= 32 p - 5 p
= 27 p

27 p = 3 u 
27 p = 81

1 p = 81 ÷ 27 = 3

Number of fruits in Box C in the end
= 20 p + 32 p
= 52 p
= 52 x 3
= 156

Answer(s): 156