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

Answer:

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

$4y {?}^{2}$

Answer 2

New-Profit sharing ratio is calculated below.

Explanation:

Old ratio given between Bharati and Astha is given as 3:2.

Profit share Dinkar would get after his admission = 1/5th of the profit (that is equally from Bharati and Astha)

Calculating Astha and Bharati’s sacrifice:

Bharati’s sacrifice

$=\frac{1}{5} \times \frac{1}{2}=\frac{1}{10}$

Astha’s sacrifice

$=\frac{1}{5} \times \frac{1}{2}=\frac{1}{10}$

Calculating New Share:

This amount will be deducted to calculate new share:

Bharati’s new share

$=\frac{3}{5}-\frac{1}{10}=\frac{6}{10}-\frac{1}{10}=\frac{5}{10}$

Astha’s new share

$=\frac{2}{5}-\frac{1}{10}=\frac{4}{10}-\frac{1}{10}=\frac{3}{10}$

Dinkar's new share

$=\frac{1}{5} \times \frac{2}{2}=\frac{2}{10}$

Thus, New profit-sharing ratio becomes = Bharati: Astha: Dinkar

$=\frac{5}{10}:\frac{3}{10}:\frac{2}{10}$

This can also be written as: 5:3:2

Thus, the New profit-sharing ratio becomes 5 : 3 :2