Question

Radha and Rukmini are partners in a firm sharing profits in 3:2 ratio. They admitted Gopi as a new partner. Radha surrendered 1/3 of her share in favour of Gopi and Rukmani surrendered 1/4 of her share in favour of Gopi. Calculate new profit sharing ratio?

Answer 1

Radha: Rukmani Old Ratio : 3 : 2

Radha surrendered in favour of Gopi = \(\frac{1}{3}\)of his share.

Rukmani surrendered in favour of Gopi =\(\frac{1}{4}\) of his share

Radha \(\frac{3}{5} \times \frac{1}{3} = \frac{1}{5}\)

Rukumani \(\frac{3}{5} \times \frac{1}{4} = \frac{1}{10}\)

∴ 2:1

Sacrificing Ratio = Old Ratio x Surrender Ratio

New Ratio ⇒ 4:3:3