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A, B and C are partners with profits sharing ratio 4:3:2. B retires. If A & C shares profits of B in 5:3, then find the new profit sharing ratio
- a)47:25
- b)17:11.
- c)31:11
- d)14:21
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A, B and C are partners with profits sharing ratio 4:3:2. B retires. I...
Solution:
Given: Profit sharing ratio of A, B, C = 4:3:2
Step 1: Calculate the total profit sharing ratio without B
Total profit sharing ratio without B = 4 + 2 = 6
Step 2: Find the ratio at which A & C shares profits of B
The ratio at which A & C shares profits of B = 5:3
Step 3: Calculate the total ratio of A & C
Total ratio of A & C = 5 + 3 = 8
Step 4: Calculate the new profit sharing ratio
A's share = (4/6) * 5 = 20/6
C's share = (2/6) * 3 = 6/6
New profit sharing ratio of A & C = 20/6 : 6/6 = 20:6 = 10:3
Step 5: Combine the new ratio with C's previous share
New profit sharing ratio = 10:3 + 2:6 = 10:3 + 3:6 = 30:9
Step 6: Simplify the ratio
Divide by 3 to simplify the ratio:
New profit sharing ratio = 30/3 : 9/3 = 10:3
Therefore, the new profit sharing ratio after B's retirement is 10:3, which is equivalent to 47:25 in the given options. Hence, the correct answer is option A.
Given: Profit sharing ratio of A, B, C = 4:3:2
Step 1: Calculate the total profit sharing ratio without B
Total profit sharing ratio without B = 4 + 2 = 6
Step 2: Find the ratio at which A & C shares profits of B
The ratio at which A & C shares profits of B = 5:3
Step 3: Calculate the total ratio of A & C
Total ratio of A & C = 5 + 3 = 8
Step 4: Calculate the new profit sharing ratio
A's share = (4/6) * 5 = 20/6
C's share = (2/6) * 3 = 6/6
New profit sharing ratio of A & C = 20/6 : 6/6 = 20:6 = 10:3
Step 5: Combine the new ratio with C's previous share
New profit sharing ratio = 10:3 + 2:6 = 10:3 + 3:6 = 30:9
Step 6: Simplify the ratio
Divide by 3 to simplify the ratio:
New profit sharing ratio = 30/3 : 9/3 = 10:3
Therefore, the new profit sharing ratio after B's retirement is 10:3, which is equivalent to 47:25 in the given options. Hence, the correct answer is option A.
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A, B and C are partners with profits sharing ratio 4:3:2. B retires. If A & C shares profits of B in 5:3, then find the new profit sharing ratioa)47:25b)17:11.c)31:11d)14:21Correct answer is option 'A'. Can you explain this answer?
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