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P.Q and R are partners sharing profit in the ratio 5:4:3 Q retired P and R decide to share future profit equally . Gaining ratio will be?
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P.Q and R are partners sharing profit in the ratio 5:4:3 Q retired P a...
Calculation of gaining ratio
To calculate the gaining ratio, we need to first find out the new profit sharing ratio of P and R after Q's retirement.
Calculation of new profit sharing ratio
P and R will share the future profit equally, which means their new ratio will be 1:1.
Calculation of old profit sharing ratio
The old profit sharing ratio of P, Q, and R was 5:4:3.
Distribution of Q's share
Q's share in the partnership will be distributed between P and R in the ratio of their old profit sharing ratio.
Calculation of Q's share
Let's assume the total profit is 100 units.
Q's share in the profit = 4/12 x 100 = 33.33 units
P's share in the profit = 5/12 x 100 = 41.67 units
R's share in the profit = 3/12 x 100 = 25 units
Distribution of Q's share
Q's share of 33.33 units will be distributed between P and R in the ratio of 5:3.
Calculation of P's share of Q's share
P's share of Q's share = 5/8 x 33.33 = 20.83 units
Calculation of R's share of Q's share
R's share of Q's share = 3/8 x 33.33 = 12.5 units
New profit sharing ratio
P's new share in the profit = 41.67 + 20.83 = 62.5 units
R's new share in the profit = 25 + 12.5 = 37.5 units
The new profit sharing ratio of P and R is 62.5:37.5 or 5:3.
Calculation of gaining ratio
The gaining ratio is the ratio in which the continuing partners' share of profit has increased.
P's share of profit has increased from 5/12 to 5/8, which is an increase of 5/8 - 5/12 = 5/24.
R's share of profit has increased from 3/12 to 3/8, which is an increase of 3/8 - 3/12 = 1/8.
The gaining ratio is 5/24:1/8, which simplifies to 5:6.
Therefore, the gaining ratio will be 5:6.
Community Answer
P.Q and R are partners sharing profit in the ratio 5:4:3 Q retired P a...
Gaining ratio of P = 1/2-5/12
=2/24
Gaining ratio of R= 1/2-3/12
=6/24
Hence the gaining ratio of P and Q is = 2:6
=1:3
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P.Q and R are partners sharing profit in the ratio 5:4:3 Q retired P and R decide to share future profit equally . Gaining ratio will be?
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P.Q and R are partners sharing profit in the ratio 5:4:3 Q retired P and R decide to share future profit equally . Gaining ratio will be? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about P.Q and R are partners sharing profit in the ratio 5:4:3 Q retired P and R decide to share future profit equally . Gaining ratio will be? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P.Q and R are partners sharing profit in the ratio 5:4:3 Q retired P and R decide to share future profit equally . Gaining ratio will be?.
P.Q and R are partners sharing profit in the ratio 5:4:3 Q retired P and R decide to share future profit equally . Gaining ratio will be? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about P.Q and R are partners sharing profit in the ratio 5:4:3 Q retired P and R decide to share future profit equally . Gaining ratio will be? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P.Q and R are partners sharing profit in the ratio 5:4:3 Q retired P and R decide to share future profit equally . Gaining ratio will be?.
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