Opal had some chikoos and mangosteens in 2 baskets. In Basket K, the number of chikoos to the number of mangosteens was in the ratio of 3 : 8. In Basket L, there were twice as many chikoos as mangosteens. After Opal transferred ³₄ of the mangosteens from Basket K to Basket L, the number of fruits left in Basket K was 195 and the ratio of the number of chikoos to the number of mangosteens in Basket B became 5 : 9. How many fruits were in Basket L in the end?

	Basket K		Basket L
	Chikoos	Mangosteens	Chikoos	Mangosteens
Before	3 u	8 u	2x5 =  10 p	1x5 = 5 p
Change		- 6 u		+ 6 u (+ 13 p)
After	3 u	2 u	5x2 = 10 p	9x2 = 18 p

Number of mangosteens that Opal transferred from Basket K to Basket L
= ³₄ x 8 u
= 6 u

Total number of fruits in Basket K in the end
= 3 u + 2 u
= 5 u

5 u = 195
1 u = 195 ÷ 5 = 39

The number of chikoos in Basket L is the unchanged quantity.
LCM of 2 and 5 is 10.

Number of mangosteens that Opal transferred from Basket K to Basket L
= 6 u
= 6 x 39
= 234

Increase in the number of mangosteens that due to the transfer from Basket K to Basket L
= 18 p - 5 p
= 13 p

13 p = 6 u 
13 p = 234

1 p = 234 ÷ 13 = 18

Number of fruits in Basket L in the end
= 10 p + 18 p
= 28 p
= 28 x 18
= 504

Answer(s): 504