Question

Red and White are two partners sharing profits and losses equally. They admit Black for 1/4th share.
In future, profit-sharing ratio between Red and White was to be 3:2. Determine new profit-sharing ratio.​

Answer 1

Answer: New profit sharing ratio is 9 : 6 : 5.

Step-by-step explanation:

Given that,

Black is admitted into partnership for 1/4th share in future profit.

Ratio between Red and White was 3 : 2.

We know that,

Formula = 1 - share of new partner

= 1 - 1/4

= 3/4 remaining profit.

Now,

New ratio = Old ratio × balance of 1

Red's new ratio = 3/5 × 3/4

= 9/20

White's New ratio = 2/5 × 3/4

= 6/20

Black's new ratio = 1/4 or 5/20 ..[given]

Thus, new profit sharing ratio = 9/20 : 6/20 : 5/20 or 9 : 6 : 5.

Answer 2

Required Answer :-

Remaining Profit = 1 -1/4

= 4 - 1/4

3/4

Now

New ratio of red = 3/5 × 3/4

= 3 × 3/5 × 4

= 9/20

New ratio of white = 2/5 × 3/4

= 2 × 3/5 × 4

= 6/20

New ratio of black = 1/4

So,

Ratio =  9/20:6/20:1/4