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

$\begin{array}{l}\text{Calulation of New Profit Sharing Ratio}\\ \text{Bharti :Astha}=\text{3:2 (Old Ratio)}\\ \text{Dinkar}=\frac{1}{5}\\ \text{Bharti}\text{'}\text{s sacrifice}=\frac{1}{5}\times \frac{1}{2}=\frac{1}{10}\\ \text{Astha}\text{'}\text{s sacrifice}=\frac{1}{5}\times \frac{1}{2}=\frac{1}{10}\\ \text{Bharti}\text{'}\text{s new share}=\frac{3}{5}-\frac{1}{10}=\frac{6-1}{10}=\frac{5}{10}\\ \text{Astha}\text{'}\text{s new share}=\frac{2}{5}-\frac{1}{10}=\frac{4-1}{10}=\frac{3}{10}\\ \text{Dinkar}\text{'}\text{s new share}=\frac{1}{5}\times \frac{2}{2}=\frac{2}{10}\\ \text{Bharti :Astha :Dinkar}=5:3:2\text{\hspace{0.17em}(New\hspace{0.17em}Ratio)}\end{array}$