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Question
R & S are in partnership sharing profit and losses at the ratio 3:2. They take T as a new partner. Calculate the new profit sharing ratio, if T purchases 1/10th share from R.
R & S are in partnership sharing profit and losses at the ratio 3:2. They take T as a new partner. Calculate the new profit sharing ratio, if T purchases 1/10th share from R.
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Solution
The correct option is A 5:4:1
Old ratio (R and S) = 3 : 2
T is admitted for 1/10th share of profitR's Sacrifice in favour of T = 1/10New ratio = Old ratio - Sacrificing ratio R's new share = (3/5) - (1/10) = 5/10S's new share = (2/5) - (0) = 2/5 or 4/10T's share = 1/10Therefore, new ratio of R : S : T = 5 : 4 : 1
Old ratio (R and S) = 3 : 2
T is admitted for 1/10th share of profit
R's Sacrifice in favour of T = 1/10
New ratio = Old ratio - Sacrificing ratio
R's new share = (3/5) - (1/10) = 5/10
S's new share = (2/5) - (0) = 2/5 or 4/10
T's share = 1/10
Therefore, new ratio of R : S : T = 5 : 4 : 1
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