There were some chikoos and pomegranates in Box M and Box N. In Box M, the ratio of the chikoos to the number of pomegranates was 2 : 1. In Box N, the ratio of the number of chikoos to the number of pomegranates was 3 : 1. There were 3 times as many fruits in Box M as in Box N. After another 72 pomegranates were put into Box N, the ratio of the number of chikoos to the number of pomegranates in Box N became 1 : 3. How many fruits were there in Box N in the end?

Box M		Box N
3x4 = 12 u		1x4 = 4 u
Chikoos	Pomegranates	Chikoos	Pomegranates
2x4	1x4	3	1
8 u	4 u	3 u	1 u

The total number of fruits in Box M is repeated.  Make the total number of fruits in Box M the same.  LCM of 3 and 3 is 12.

The total number of fruits in Box N at first is repeated.  Make the total number of fruits in Box N the same.  LCM of 1 and 4 is 4.

	Box M		Box N
	Chikoos	Pomegranates	Chikoos	Pomegranates
Before	8 u	4 u	3 u	1 u
Change				+ 72
After	8 u	4 u	1x3 = 3 u	3x3 = 9 u

Number of chikoos in Box N remains unchanged.  Make the number of chikoos in Box N the same.  LCM of 3 and 1 is 3.

Number of pomegranates put into Box N
= 9 u - 1 u
= 8 u

8 u = 72

1 u = 72 ÷ 8 = 9

Number of fruits in Box N in the end
= 3 u + 9 u
= 12 u
= 12 x 9
= 108

Answer(s): 108