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A and B share profits in the ratio of 3:2. C was admitted as a partner who gets 1/5 share. New profit sharing ratio, if C acquires 3/20 from A and 1/20 from B, would be:

Solution

✅ Correct Option: 1

Old profit sharing ratio between A and B = 3:2

This means:

  • A's share = 35\frac{3}{5}
  • B's share = 25\frac{2}{5}

C is admitted for 15\frac{1}{5} share and acquires it specifically from A and B:

  • From A: 320\frac{3}{20}
  • From B: 120\frac{1}{20}

Calculating new shares:

A's new share = 35−320\frac{3}{5} - \frac{3}{20}

Converting to common denominator: 35=1220\frac{3}{5} = \frac{12}{20}

A's new share = 1220−320=920\frac{12}{20} - \frac{3}{20} = \frac{9}{20}


B's new share = 25−120\frac{2}{5} - \frac{1}{20}

Converting to common denominator: 25=820\frac{2}{5} = \frac{8}{20}

B's new share = 820−120=720\frac{8}{20} - \frac{1}{20} = \frac{7}{20}


C's new share = 320+120=420\frac{3}{20} + \frac{1}{20} = \frac{4}{20}


New profit sharing ratio = 920:720:420\frac{9}{20} : \frac{7}{20} : \frac{4}{20} = 9 : 7 : 4

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