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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 1/4 share in the profits, which he acquired wholly from Das. Determine the new profit sharing ratio among Das, Sinha and Pal.

Solution

✅ Correct Option: 2

Old Profit Sharing Ratio:

Das : Sinha = 4 : 1

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

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


Pal's Admission:

Pal is admitted for 14\frac{1}{4} share, acquired wholly from Das.

Since Pal takes his entire share from Das only, Sinha's share remains unchanged.


New Profit Sharing Ratio:

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

= 45−14\frac{4}{5} - \frac{1}{4}

= 1620−520\frac{16}{20} - \frac{5}{20}

= 1120\frac{11}{20}

Sinha's new share = 15=420\frac{1}{5} = \frac{4}{20} (unchanged)

Pal's new share = 14=520\frac{1}{4} = \frac{5}{20}

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

The correct answer is Option 2: 11:4:5

2025: 13 May Shift 2

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