Question

A and b were partners c joins them and it is decided that a receives half of b share and c receives one third of a share find new ratio

Answer 1

Given:

• A and B are partners in a firm.
• C is admitted into the firm.
• A receives half of B's share and C receives one-third of A's share.

To find: The new ratio.

Answer:

If nothing has been specified in the question, the old/existing profit-sharing ratio is assumed to be 1:1 [∵ there are 2 partners.]

• A's old share = 1/2
• B's old share = 1/2

As per the question, A receives half of B's share.

A's share = 1/2 ÷ 2 = 1/2 × 1/2 = 1/4

C receives one-third of A's share. Since A's share is now 1/4, C's share will be calculated from it.

C's share = 1/3 × 1/4 = 1/12

B's share remains the same, i.e., 1/2.

Calculation of the new profit-sharing ratio:

• A's share = 1/4, or 3/12
• B's share = 1/2, or 6/12
• C's share = 1/12

Therefore, the new profit-sharing ratio is 3:6:1.