a b and c share the profit in the ratio 1 by 2 ratio 1 by 3 ratio 1 by 6 c retire then gaining ratio is
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Question:
A, B and C share the profits in the ratio 1/2 : 1/3 : 1/6. C retires, then Gain ratio is?
Answer: 3 : 2
Step-by-step explanation:
What is Gain ratio?
Gain ratio is the ratio in which the continuing partners acquire the share of retiring partner.
Formula: Gain ratio = New ratio - Old ratio
Here, Old ratio = 1/2 : 1/3 : 1/6
= 3/6 : 2/6 : 1/6
= 3 : 2 : 1
Given that, C retires.
New ratio = 3 : 2
Hence, applying formula of Gain ratio
A's Gain:
= 3/5 - 3/6
= (18 - 15) / 30
= 3/30 or 1/10
B's Gain:
= 2/5 - 2/6
= (12 - 10)/30
= 2/30 or 1/15
Thus, Gain ratio = 1/10 : 1/15
= 3/30 : 2/30
= 3 : 2
Gain ratio is 3 : 2.
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