Ratio of shares in the profit:
Aman : Rohan : Tapan = [(P + 25000) x 2] : [(P + 15000) x 2] : (2P x 1)
= (2P + 50000) : (2P + 30000) : 2P
According to the question
2P/(2P + 50000 + 2P + 30000 + 2P) x 69000 = 15000
=> 2P/(6P + 80000) x 23 = 5
=> 46P = 5 x (6P + 80000)
=> 46P = 30P + 400000
=> 46P - 30P = 400000
=> 16P = 400000
=> P = 400000/16
=> P = 25000
Quantity I:
(P + 25000) - (P + 15000)
=> P + 25000 - P - 15000
= Rs.10000
Quantity II:
2P - (P + 15000)
= P - 15000
= 25000 - 15000
= Rs.10000
Hence, Quantity I = Quantity II
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