X, Y and Z enter into a partnership. X invests some money at the beginning. Y Invests thrice the amount of X after 4 months and Z invest double the amount of Y after 9 months from the beginning. If the annual gain be Rs. 450000, then what is the share of Y?

1
Rs. 150000
2
Rs. 100000
3
Rs. 300000
4
Rs. 200000

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