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AK, BK and CK are sharing profits in the ratio of 2:1:1. They have decided to share future profits in the ratio of 3:2:1. Find out the gainer partner.
  • a)
    BK is the gainer partner
  • b)
    CK is the gainer partner
  • c)
    AK is the gainer partner
  • d)
    Both AK is the gainer partner and CK is the gainer partner
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
AK, BK and CK are sharing profits in the ratio of 2:1:1. They have dec...
Calculation of gain or sacrifice:
Formula : Old Share – New Share 
AK = 2/4 – 3/6 = No Sacrifice/ No Gain
BK = 1/4 – 2/6 = 1/12 Gain
CK = 1/4 - 1/6 = 1/12 Sacrifice
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AK, BK and CK are sharing profits in the ratio of 2:1:1. They have dec...
Given:
Profit sharing ratio of AK:BK:CK = 2:1:1
Future profit sharing ratio of AK:BK:CK = 3:2:1

To find: Gainer partner

Solution:
Let's assume the total profit earned by the company as 'x'

According to the given profit sharing ratio, the share of AK, BK and CK will be:
AK's share = (2/4) x = (1/2) x
BK's share = (1/4) x
CK's share = (1/4) x

Now, according to the new profit sharing ratio, the share of AK, BK and CK will be:
AK's share = (3/6) x = (1/2) x
BK's share = (2/6) x = (1/3) x
CK's share = (1/6) x

We can see that the share of BK and CK has decreased while the share of AK has remained the same. Thus, AK is not the gainer partner.

To determine between BK and CK, we can calculate the absolute change in their profit shares:
Absolute change in BK's share = (1/3)x - (1/4)x = (1/12)x
Absolute change in CK's share = (1/6)x - (1/4)x = (-1/12)x

We can see that BK's share has increased while CK's share has decreased. Thus, BK is the gainer partner.

Therefore, option 'A' is the correct answer.
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Community Answer
AK, BK and CK are sharing profits in the ratio of 2:1:1. They have dec...
Bk is gaining 
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