Question

Bharati and Astha were partners sharing profits in the ratio of 3 : 2. They admitted Dinkar as a new partner for 1/5th share in the future profits of the firm which he got equally from Bharati and Astha. Calculate the new profit-sharing ratio of Bharati, Astha and Dinkar.

Answer 1

Calculation of New Profit Sharing Ratio

Bharti : Astha = 3 : 2 (Old Ratio)

Dinkar = `1/5`

Bharti's Sacrifice = `1/5 xx 1/2 = 1/10`

Astha's Sacrifice = `1/5 xx 1/2 = 1/10`

Bharti's new share = `3/5 - 1/10 = [ 6 - 1 ]/10 = 5/10`

Astha's new share = `2/5 - 1/10 = [ 4 - 1]/10 = 3/10`

Dinkar's new share = `1/5 xx 2/2 = 2/10`

Bharti : Astha : Dinkar = 5 : 3 : 2 ( New Ratio )