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.
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 = 35−315=9−315=615
Rukmini's new share = 25−220=8−220=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