question: x, y and z are partners sharing profits in the ratio 2:2:1.w is admitted as new partner for 1/6 share. z will retain his share. calculate new profit- sharing ratio.
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Assuming new partner is = w
his share ration is 1/6 according to the question
old ratio = 2:2:1
x y z
2/5 2/5 1/5
Let the total share of the firm = 1
share of z and w = 1/5 + 1/6
= 6 + 5/30
= 11/30
Remaining share = 1 - 11/30
= 30 - 11/30
= 19/30
divided by x and y in their old ratio (2:2) or (1:1)
{New share = Old share × Remaining share}
x = 1/2 × 19/30
= 19/60
y = 1/2 × 19/30
= 19/60
NEW PROFIT SHARE
X Y Z W
19/60 19/60 1/5 1/6 ANS.
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