Question

(a) A and B are partner sharing profits in the ratio of 7 : 3. C was admitted with $\frac{3}{7}th$ share in the profit which he took $\frac{2}{7}th$ from A and $\frac{1}{7}th$ from B. Calculate new ratio of partners.

(b)Ram and Shyam are partners in a firm sharing profits in the ratio of 7 : 5. Mohan is admitted on $\frac{1}{6}th$ share which he takes $\frac{1}{24}th$ from Ram and $\frac{1}{8}th$ from Shyam. Calculate the new profit sharing ratio of the partners.

Answer 1

(a)A's share $=\frac{7}{10}-\frac{2}{7}=\frac{49-20}{70}=\frac{29}{70}$

B's share $=\frac{3}{10}-\frac{1}{7}=\frac{21-10}{10}=\frac{11}{70}$

C's share $=\frac{2}{7}+\frac{1}{7}=\frac{3}{7}$

Thus the new profit sharing ratio for A, B and C will be:

$\frac{29}{70}:\frac{11}{70}:\frac{3}{7}of\frac{29:11:30}{70}$ or 29:11:30

(b)Ram's old share is $\frac{7}{12}$, out of which he surrenders $\frac{1}{24}th$ in favour of Mohan.

Therefore, Ram's new share is $=\frac{7}{12}-\frac{1}{24}=\frac{14-1}{24}=\frac{13}{24}$

Shyam's old share is $\frac{5}{12}$, out of which he surrenders $\frac{1}{8}$th in favour of Mohan.

Therefore, Shyam's new share is $=\frac{5}{12}-\frac{1}{8}=\frac{10-3}{24}=\frac{7}{24}$

Mohan's share $=\frac{1}{6}$ or $\frac{4}{24}$

Therefore, New ratio of Ram, Shyam and Mohan will be 13:7:4.