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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

This means:

  • 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 acquired wholly from Das.

This means only Das will sacrifice his share to Pal, while Sinha's share remains unchanged.

Das's New Share = Old Share - Sacrificed Share

Das's New Share = 45−14\frac{4}{5} - \frac{1}{4}

Converting to common denominator (20):

= 1620−520=1120\frac{16}{20} - \frac{5}{20} = \frac{11}{20}

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

Pal's Share = 14=520\frac{1}{4} = \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

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