Keshav, Nirmal and Pankaj are partners sharing profits and losses in the ratio of 4 : 3 : 2. Nirmal retires and the goodwill is valued at Rs. 72,000. Keshav and Pankaj decided to share future profits and losses in the ratio of 5 : 3. Gaining Ratio of Keshav and Pankaj is:
Keshav, Nirmal and Pankaj are partners sharing profits and losses in the ratio of 4 : 3 : 2. Nirmal retires and the goodwill is valued at Rs. 72,000. Keshav and Pankaj decided to share future profits and losses in the ratio of 5 : 3. Gaining Ratio of Keshav and Pankaj is:
Solution
Old Profit Sharing Ratio:
Keshav : Nirmal : Pankaj = 4 : 3 : 2
Keshav's old share =
Pankaj's old share =
New Profit Sharing Ratio (after Nirmal's retirement):
Keshav : Pankaj = 5 : 3
Keshav's new share =
Pankaj's new share =
Gaining Ratio = New Share - Old Share
Keshav's gain =
Converting to common denominator (LCM of 8 and 9 = 72):
=
Pankaj's gain =
=
Gaining Ratio = = 13 : 11 = 13/24 : 11/24
The gaining ratio represents the share in which Keshav and Pankaj acquire Nirmal's share. Since their combined gain must equal Nirmal's share of , we express it as parts of the total: Keshav gains 13 out of 24 parts and Pankaj gains 11 out of 24 parts.
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