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X, Y and Z are partners sharing profits in the ratio of 4:3:2. The partners have decided to share future profits in the ratio of 3:1:1. Find out the gainer partner.
  • a)
    Z is gainer
  • b)
    X is gainer
  • c)
    Y is gainer
  • d)
    Y and Z are gainer
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
X, Y and Z are partners sharing profits in the ratio of 4:3:2. The par...
Calculation of gain or sacrifice:
Formula : Old Share – New Share 
X = 4/9 – 3/5 = 7/45 Gain 
Y = 3/9 – 1/5 = 6/45 Sacrifice
Z = 2/9 - 1/5 = 1/45 Sacrifice
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Most Upvoted Answer
X, Y and Z are partners sharing profits in the ratio of 4:3:2. The par...
Partnership Agreement:
- Initially, X, Y, and Z share profits in the ratio of 4:3:2.
- The partners have now decided to share future profits in the ratio of 3:1:1.

Calculating Profit Sharing:
To determine the gainer partner, we need to compare the profit share of each partner in the initial and future ratios.

Initial Profit Sharing:
- Let the initial profit be P.
- X's share = (4/9)P
- Y's share = (3/9)P
- Z's share = (2/9)P

Future Profit Sharing:
- X's share = (3/5)Q
- Y's share = (1/5)Q
- Z's share = (1/5)Q

Comparing Profit Shares:
To find the gainer partner, we need to compare the change in profit shares between the initial and future ratios.

Change in X's Profit Share:
- Initial share: (4/9)P
- Future share: (3/5)Q
- Change: (3/5)Q - (4/9)P

Change in Y's Profit Share:
- Initial share: (3/9)P
- Future share: (1/5)Q
- Change: (1/5)Q - (3/9)P

Change in Z's Profit Share:
- Initial share: (2/9)P
- Future share: (1/5)Q
- Change: (1/5)Q - (2/9)P

Comparing Changes:
Since the question asks for the gainer partner, we need to identify the partner with the highest positive change in profit share.

- Change in X's share = (3/5)Q - (4/9)P
- Change in Y's share = (1/5)Q - (3/9)P
- Change in Z's share = (1/5)Q - (2/9)P

Calculating Gainer Partner:
To find the gainer partner, we compare the changes in profit share.

- Change in X's share = (3/5)Q - (4/9)P
- Change in Y's share = (1/5)Q - (3/9)P
- Change in Z's share = (1/5)Q - (2/9)P

The partner with the highest positive change in profit share is the gainer partner. In this case, the change in X's profit share is the highest, indicating that X is the gainer partner. Therefore, option B - X is the gainer, is the correct answer.
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Community Answer
X, Y and Z are partners sharing profits in the ratio of 4:3:2. The par...
In this situation X partner is gainer we can find that by calculating there sacrifice ratio
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