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X Y and Z are partners sharing profits in the ratio of 5: 3: 2. Calculate new ratio sacrificing ratio, gaining ratio in each of the following cases: Case 1. As per new agreement, Z takes 1/5th share from X. Case 2. As per new agreement, Z takes 1/5th share equally from X and Y. profit-sharing Case 3. As per new agreement, X, Y and Z decide to share the future profits and losses equally. Case 4. As per new agreement, Z takes 1/5th share of X and 1/6th share of Y.?
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X Y and Z are partners sharing profits in the ratio of 5: 3: 2. Calcul...
Case 1: Z takes 1/5th share from X

In this case, Z is taking a share from X, which means X's share will decrease, and Z's share will increase.

Calculating the new ratio:
Initially, the ratio of X:Y:Z is 5:3:2.
Let's assume the total profit is P.

According to the given ratio, X's share = (5/10) * P = P/2
Z's share = (2/10) * P = P/5

Z takes 1/5th share from X, which means Z will take (1/5) * (P/2) = P/10 from X.

After this change, the new ratios will be:
X's share = (P/2) - (P/10) = (5P - P)/10 = 4P/10 = 2P/5
Y's share remains the same = P/3
Z's share = (P/5) + (P/10) = (2P + P)/10 = 3P/10

Therefore, the new profit-sharing ratio will be 2P/5 : P/3 : 3P/10, which can be simplified to 12P : 10P : 9P or 12:10:9.

Case 2: Z takes 1/5th share equally from X and Y

In this case, Z is taking a share from both X and Y, which means the shares of X and Y will decrease, and Z's share will increase.

Calculating the new ratio:
Initially, the ratio of X:Y:Z is 5:3:2.
Let's assume the total profit is P.

According to the given ratio, X's share = (5/10) * P = P/2
Y's share = (3/10) * P = 3P/10
Z's share = (2/10) * P = P/5

Z takes 1/5th share equally from X and Y, which means Z will take (1/5) * (P/2) = P/10 from X and (1/5) * (3P/10) = 3P/50 from Y.

After this change, the new ratios will be:
X's share = (P/2) - (P/10) = (5P - P)/10 = 4P/10 = 2P/5
Y's share = (3P/10) - (3P/50) = (15P - 6P)/50 = 9P/50
Z's share = (P/5) + (P/10) + (3P/50) = (10P + 5P + 3P)/50 = 18P/50 = 9P/25

Therefore, the new profit-sharing ratio will be 2P/5 : 9P/50 : 9P/25, which can be simplified to 20P : 9P : 18P or 20:9:18.

Case 3: X, Y, and Z decide to share the future profits and losses equally
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X Y and Z are partners sharing profits in the ratio of 5: 3: 2. Calculate new ratio sacrificing ratio, gaining ratio in each of the following cases: Case 1. As per new agreement, Z takes 1/5th share from X. Case 2. As per new agreement, Z takes 1/5th share equally from X and Y. profit-sharing Case 3. As per new agreement, X, Y and Z decide to share the future profits and losses equally. Case 4. As per new agreement, Z takes 1/5th share of X and 1/6th share of Y.?
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X Y and Z are partners sharing profits in the ratio of 5: 3: 2. Calculate new ratio sacrificing ratio, gaining ratio in each of the following cases: Case 1. As per new agreement, Z takes 1/5th share from X. Case 2. As per new agreement, Z takes 1/5th share equally from X and Y. profit-sharing Case 3. As per new agreement, X, Y and Z decide to share the future profits and losses equally. Case 4. As per new agreement, Z takes 1/5th share of X and 1/6th share of Y.? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about X Y and Z are partners sharing profits in the ratio of 5: 3: 2. Calculate new ratio sacrificing ratio, gaining ratio in each of the following cases: Case 1. As per new agreement, Z takes 1/5th share from X. Case 2. As per new agreement, Z takes 1/5th share equally from X and Y. profit-sharing Case 3. As per new agreement, X, Y and Z decide to share the future profits and losses equally. Case 4. As per new agreement, Z takes 1/5th share of X and 1/6th share of Y.? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X Y and Z are partners sharing profits in the ratio of 5: 3: 2. Calculate new ratio sacrificing ratio, gaining ratio in each of the following cases: Case 1. As per new agreement, Z takes 1/5th share from X. Case 2. As per new agreement, Z takes 1/5th share equally from X and Y. profit-sharing Case 3. As per new agreement, X, Y and Z decide to share the future profits and losses equally. Case 4. As per new agreement, Z takes 1/5th share of X and 1/6th share of Y.?.
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