Question

A, B and C were partners sharing profits in the ratio of 5:4:3. C retired and his share was taken up by A and B in the ratio of 3:2. Find out the new ratio.

Answer 1

C' s share will be divided between A and B in the ratio of 3 : 2.

A will gain $\frac{3}{5}of\frac{3}{12}=\frac{9}{60}$

Hence, A's new share = $\frac{5}{12}+\frac{9}{60}=\frac{34}{60}$

B will gain $\frac{2}{5}of\frac{3}{12}=\frac{6}{60}$

Hence, B's new share = $\frac{4}{12}+\frac{6}{60}=\frac{26}{60}$

New Ratio = $A\frac{34}{60}:B\frac{26}{60}or17:13.$