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Das and Sinha are partners in a firm sharing profits in 4:1 ratio. They admitted Pal as a new partner for 1/4th share in the profits, which he acquired wholly from Das. The new profit sharing ratio of the partners is-

Solution

✅ Correct Option: 1

Old Profit Sharing Ratio:

Das : Sinha = 4 : 1

Das's share = 45\frac{4}{5}

Sinha's share = 15\frac{1}{5}


Pal is admitted for 14\frac{1}{4}th share which he acquires wholly from Das. This means Das sacrifices his entire share to Pal, while Sinha's share remains unchanged.

Calculating New Shares:

Das's new share = Old share - Share given to Pal

= 45−14\frac{4}{5} - \frac{1}{4}

= 16−520\frac{16 - 5}{20}

= 1120\frac{11}{20}

Sinha's new share = 15\frac{1}{5} (unchanged)

= 420\frac{4}{20}

Pal's share = 14\frac{1}{4}

= 520\frac{5}{20}


New Profit Sharing Ratio:

Das : Sinha : Pal = 1120:420:520\frac{11}{20} : \frac{4}{20} : \frac{5}{20}

= 11 : 4 : 5

The correct answer is Option 1: 11:4:5

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