Q. .A and B are partners in ratio of 7:5.
They admit C for1/6 of share who takes
from A 1/24 and 1/8 from B. Find out new ratio and sacrificing ratio.
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Answer:
Old ratio (A and B) = 7 : 5
C is admitted for 1/5 share
Let the combined share of profit for all partners after C's admission = 1
Combined share of X and Y after Z's admission = 1 - C's share
= 1 - (1/5)
= 4/5
New ratio = Old ratio * Combined share of A and B
A's new share = (7/12) * (4/5)
= 7/15
B's new share = (5/12) * (4/5)
= 5/15
C's share = 1/5
Therefore, new share of A, B and C = (7/15), (5/15) and (1/5)
= (7/15), (5/15) and (3/15)
= 7 : 5 : 3
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