Roshel had some pears and mangoes in 2 boxes. In Box K, the number of pears to the number of mangoes was in the ratio of 2 : 9. In Box L, there were thrice as many pears as mangoes. After Roshel transferred ¹₃ of the mangoes from Box K to Box L, the number of fruits left in Box K was 264 and the ratio of the number of pears to the number of mangoes in Box B became 1 : 4. How many fruits were in Box L in the end?

	Box K		Box L
	Pears	Mangoes	Pears	Mangoes
Before	2 u	9 u	3x1 =  3 p	1x1 = 1 p
Change		- 3 u		+ 3 u (+ 11 p)
After	2 u	6 u	1x3 = 3 p	4x3 = 12 p

Number of mangoes that Roshel transferred from Box K to Box L
= ¹₃ x 9 u
= 3 u

Total number of fruits in Box K in the end
= 2 u + 6 u
= 8 u

8 u = 264
1 u = 264 ÷ 8 = 33

The number of pears in Box L is the unchanged quantity.
LCM of 3 and 1 is 3.

Number of mangoes that Roshel transferred from Box K to Box L
= 3 u
= 3 x 33
= 99

Increase in the number of mangoes that due to the transfer from Box K to Box L
= 12 p - 1 p
= 11 p

11 p = 3 u 
11 p = 99

1 p = 99 ÷ 11 = 9

Number of fruits in Box L in the end
= 3 p + 12 p
= 15 p
= 15 x 9
= 135

Answer(s): 135