Roshel had some mangoes and kiwis in 2 baskets. In Basket T, the number of mangoes to the number of kiwis was in the ratio of 3 : 10. In Basket U, there were thrice as many mangoes as kiwis. After Roshel transferred ⁴₅ of the kiwis from Basket T to Basket U, the number of fruits left in Basket T was 55 and the ratio of the number of mangoes to the number of kiwis in Basket B became 4 : 5. How many fruits were in Basket U in the end?

	Basket T		Basket U
	Mangoes	Kiwis	Mangoes	Kiwis
Before	3 u	10 u	3x4 =  12 p	1x4 = 4 p
Change		- 8 u		+ 8 u (+ 11 p)
After	3 u	2 u	4x3 = 12 p	5x3 = 15 p

Number of kiwis that Roshel transferred from Basket T to Basket U
= ⁴₅ x 10 u
= 8 u

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

5 u = 55
1 u = 55 ÷ 5 = 11

The number of mangoes in Basket U is the unchanged quantity.
LCM of 3 and 4 is 12.

Number of kiwis that Roshel transferred from Basket T to Basket U
= 8 u
= 8 x 11
= 88

Increase in the number of kiwis that due to the transfer from Basket T to Basket U
= 15 p - 4 p
= 11 p

11 p = 8 u 
11 p = 88

1 p = 88 ÷ 11 = 8

Number of fruits in Basket U in the end
= 12 p + 15 p
= 27 p
= 27 x 8
= 216

Answer(s): 216