R and S are partners in a firm sharing profits in the ratio of 5:3 . They admitted B as a new partner for 1/7t

Question

R and S are partners in a firm sharing profits in the ratio of 5:3 . They admitted B as a new partner for 1/7th share in the profit. The new profit sharing ratio among R , S , and B becomes 4:2:1 . The sacrificing ratio of R and S is:

Accepted Answer

To find the sacrificing ratio, we use the formula:

Sacrifice = Old Share - New Share

Given data:Old Ratio of

R

and

S = 5 : 3 ⟹ R = \frac{5}{8}, S = \frac{3}{8}

New Ratio of

R

,

S

, and

B = 4 : 2 : 1 ⟹ R = \frac{4}{7}, S = \frac{2}{7}, B = \frac{1}{7}

Calculate Sacrifice for

R

:

Sacrifice of R = \frac{5}{8} - \frac{4}{7} = \frac{35 - 32}{56} = \frac{3}{56}

Calculate Sacrifice for

S

:

Sacrifice of S = \frac{3}{8} - \frac{2}{7} = \frac{21 - 16}{56} = \frac{5}{56}

Comparing the sacrifices of

R

and

S

:

Sacrificing Ratio = \frac{3}{56} : \frac{5}{56} = 3 : 5

$R$ and $S$ are partners in a firm sharing profits in the ratio of $5 : 3$ . They admitted $B$ as a new partner for $\frac{1}{7} th$ share in the profit. The new profit sharing ratio among $R$ , $S$ , and $B$ becomes $4 : 2 : 1$ . The sacrificing ratio of $R$ and $S$ is:

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Discussion

R and S are partners in a firm sharing profits in the ratio of 5:3. They admitted B as a new partner for 71​th share in the profit. The new profit sharing ratio among R, S, and B becomes 4:2:1. The sacrificing ratio of R and S is: