question_answer

A and B who shared profits in the ratio of 2 : 1 admit C as a partner for l/5th share in profits, which he acquires from A and B in the ratio of 1 : 2. What will be the new profit sharing ratio?

Answer:

C?s Share\[=\frac{1}{5}\] A Sacrifice\[=\frac{1}{5}\times \frac{1}{3}=\frac{1}{15}\] B Sacrifice\[=\frac{1}{5}\times \frac{2}{3}=\frac{2}{15}\] A?s New Share\[=\,\frac{2}{3}-\frac{1}{15}=\frac{10-1}{15}=\frac{9}{15}\] B?s New Share\[=\,\frac{1}{3}-\frac{2}{15}=\frac{5-2}{15}=\frac{3}{15}\] C?s New Share\[=\,\frac{1}{15}-\frac{2}{15}=\frac{1+2}{15}=\frac{3}{15}\] New Ratio =9 : 3 : 3 = 3 : 1 : 3