Partnership

Admission

Hard

common

X and Y are partners in a firm sharing profits in the ratio of 3:2. They admitted Z as a new partner for 1/4 share. The new profit sharing ratio between X and Y will be 2:1. Calculate their sacrificing ratio.

2:3

3:2

1:2

2:1

✅ Correct Option: 1

After Z takes $\frac{1}{4}$ , the remaining $\frac{3}{4}$ is shared by X and Y as $2:1$ . So X gets $\frac{2}{3} \times \frac{3}{4} = \frac{1}{2}$ and Y gets $\frac{1}{3} \times \frac{3}{4} = \frac{1}{4}$ .

Sacrifice of X $= \frac{3}{5} - \frac{1}{2} = \frac{1}{10}$ ; sacrifice of Y $= \frac{2}{5} - \frac{1}{4} = \frac{3}{20}$ .

Ratio $= \frac{2}{20} : \frac{3}{20} = 2:3$ .

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X and Y are partners in a firm sharing profits in the ratio of 3:2. They admitted Z as a new partner for 1/4 share. The new profit sharing ratio between X and Y will be 2:1. Calculate their sacrificing ratio.

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