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Question

Radha and Rukmini are partners in a firm sharing profits in 3 : 2 ratio. They admitted Gopi as a new partner Radha surrendered 13 of her share in favour of Gopi and Rukmini surrendered 14 of her share in favour of Gopi. Calculate the new profit sharing ratio.

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Solution

New partner's share if not given, then it is always total sacrifice of old partners.

Old profit sharing ratio of Radha and Rukmini = 3 : 2

Gopi's share = 13 of Radha + 14 of Rukmini

Radha's sacrifice = 13 of 35=13×35=315

Rukmini's sacrifice = 14 of 25=14×25=220

Radha's new share = 35315=9315=615

Rukmini's new share = 25220=8220=620

Gopi's share = 315+220=12+660=1860

New profit sharing ratio of Radha, Rukmini and Gopi

615:620:1860

or 2460:1860:1860

or 24 : 18 : 18

or 4 : 3 : 3


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