Rohit and Mohit are partners in a firm sharing profits in the ratio of 5:3 . They admitted Bijoy as a new part

Question

Rohit and Mohit are partners in a firm sharing profits in the ratio of 5:3 . They admitted Bijoy as a new partner for 1/7th share in the profit. The new profit sharing ratio will be 4:2:1 . What will be the sacrificing ratio of Rohit and Mohit?

Accepted Answer

Given parameters:Old Ratio between Rohit and Mohit =

5 : 3 ⟹ Rohit = \frac{5}{8}, Mohit = \frac{3}{8}

New Ratio between Rohit, Mohit, and Bijoy =

4 : 2 : 1 ⟹ Rohit = \frac{4}{7}, Mohit = \frac{2}{7}, Bijoy = \frac{1}{7}

Formula for Sacrificing Share:

Sacrifice = Old Share - New Share

For Rohit:

Sacrifice_{Rohit} = \frac{5}{8} - \frac{4}{7} = \frac{35 - 32}{56} = \frac{3}{56}

For Mohit:

Sacrifice_{Mohit} = \frac{3}{8} - \frac{2}{7} = \frac{21 - 16}{56} = \frac{5}{56}

Comparing their sacrifices gives the ratio:

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

Rohit and Mohit are partners in a firm sharing profits in the ratio of $5 : 3$ . They admitted Bijoy as a new partner for $\frac{1}{7} th$ share in the profit. The new profit sharing ratio will be $4 : 2 : 1$ . What will be the sacrificing ratio of Rohit and Mohit?

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Rohit and Mohit are partners in a firm sharing profits in the ratio of 5:3. They admitted Bijoy as a new partner for 71​th share in the profit. The new profit sharing ratio will be 4:2:1. What will be the sacrificing ratio of Rohit and Mohit?