Three business partners, A, B and C, share the profits as follows: The ratio of A’s share to B’s share is 6:5 and the ratio of B’s share to C’s share is 3:4. Determine
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Old ratio (A, B, and C) = 4 : 3 : 2
D is admitted for 1/10 share
Let the combined share of profit for all partners after D's admission = 1
Combined share of A, B and C after D's admission = 1 - D's share
= 1 - (1/10)
= 9/10
New ratio = Old ratio * Combined share of A, B and C
A's new share = (4/9) * (9/10)
= 4/10
B's new share = (3/9) * (9/10)
= 3/10
C's new share = (2/9) * (9/10)
= 2/10
D's share = 1/10
Therefore, new share of A, B, C and D = (4/10), (3/10), (2/10) and (1/10)
= 4 : 3 : 2 : 1
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