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A,B,and C are equal partners with capitals of Rs.1,00,000, Rs.75,000, Rs.50,000 respectively. On c's retirement his share is acquired by A and B in the ratio of 6:4 respectively. Gaining ratio will be a)3:2 b)2:2 c)2:3 d)none?
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A,B,and C are equal partners with capitals of Rs.1,00,000, Rs.75,000, ...
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A,B,and C are equal partners with capitals of Rs.1,00,000, Rs.75,000, ...
Given Information:
- A, B, and C are equal partners with capitals of Rs.1,00,000, Rs.75,000, and Rs.50,000 respectively.
- C retires and his share is acquired by A and B in the ratio of 6:4.
To Find:
The gaining ratio.
Solution:
Step 1: Calculate the Total Capital:
To find the total capital, we need to add the capitals of A, B, and C.
Total Capital = Rs.1,00,000 + Rs.75,000 + Rs.50,000 = Rs.2,25,000
Step 2: Calculate the New Capitals of A and B:
Since C retires and his share is acquired by A and B in the ratio of 6:4, we can calculate the new capitals of A and B using the following formula:
New Capital = (Old Capital x Ratio) / Total Ratio
New Capital of A = (Rs.1,00,000 x 6) / 10 = Rs.60,000
New Capital of B = (Rs.75,000 x 6) / 10 = Rs.45,000
Step 3: Calculate the Gaining Ratio:
Gaining Ratio = New Capital of A - Old Capital of A : New Capital of B - Old Capital of B
Gaining Ratio = (Rs.60,000 - Rs.1,00,000) : (Rs.45,000 - Rs.75,000)
Gaining Ratio = (-Rs.40,000) : (-Rs.30,000)
Gaining Ratio = 4:3
Step 4: Simplify the Gaining Ratio:
To simplify the gaining ratio, we divide both sides by the greatest common divisor (GCD) of 4 and 3, which is 1.
Simplified Gaining Ratio = 4/1 : 3/1 = 4:3
Final Answer:
The gaining ratio is 4:3, which means option c) 2:3 is the correct answer.
- A, B, and C are equal partners with capitals of Rs.1,00,000, Rs.75,000, and Rs.50,000 respectively.
- C retires and his share is acquired by A and B in the ratio of 6:4.
To Find:
The gaining ratio.
Solution:
Step 1: Calculate the Total Capital:
To find the total capital, we need to add the capitals of A, B, and C.
Total Capital = Rs.1,00,000 + Rs.75,000 + Rs.50,000 = Rs.2,25,000
Step 2: Calculate the New Capitals of A and B:
Since C retires and his share is acquired by A and B in the ratio of 6:4, we can calculate the new capitals of A and B using the following formula:
New Capital = (Old Capital x Ratio) / Total Ratio
New Capital of A = (Rs.1,00,000 x 6) / 10 = Rs.60,000
New Capital of B = (Rs.75,000 x 6) / 10 = Rs.45,000
Step 3: Calculate the Gaining Ratio:
Gaining Ratio = New Capital of A - Old Capital of A : New Capital of B - Old Capital of B
Gaining Ratio = (Rs.60,000 - Rs.1,00,000) : (Rs.45,000 - Rs.75,000)
Gaining Ratio = (-Rs.40,000) : (-Rs.30,000)
Gaining Ratio = 4:3
Step 4: Simplify the Gaining Ratio:
To simplify the gaining ratio, we divide both sides by the greatest common divisor (GCD) of 4 and 3, which is 1.
Simplified Gaining Ratio = 4/1 : 3/1 = 4:3
Final Answer:
The gaining ratio is 4:3, which means option c) 2:3 is the correct answer.
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A,B,and C are equal partners with capitals of Rs.1,00,000, Rs.75,000, Rs.50,000 respectively. On c's retirement his share is acquired by A and B in the ratio of 6:4 respectively. Gaining ratio will be a)3:2 b)2:2 c)2:3 d)none?
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A,B,and C are equal partners with capitals of Rs.1,00,000, Rs.75,000, Rs.50,000 respectively. On c's retirement his share is acquired by A and B in the ratio of 6:4 respectively. Gaining ratio will be a)3:2 b)2:2 c)2:3 d)none? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A,B,and C are equal partners with capitals of Rs.1,00,000, Rs.75,000, Rs.50,000 respectively. On c's retirement his share is acquired by A and B in the ratio of 6:4 respectively. Gaining ratio will be a)3:2 b)2:2 c)2:3 d)none? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A,B,and C are equal partners with capitals of Rs.1,00,000, Rs.75,000, Rs.50,000 respectively. On c's retirement his share is acquired by A and B in the ratio of 6:4 respectively. Gaining ratio will be a)3:2 b)2:2 c)2:3 d)none?.
A,B,and C are equal partners with capitals of Rs.1,00,000, Rs.75,000, Rs.50,000 respectively. On c's retirement his share is acquired by A and B in the ratio of 6:4 respectively. Gaining ratio will be a)3:2 b)2:2 c)2:3 d)none? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A,B,and C are equal partners with capitals of Rs.1,00,000, Rs.75,000, Rs.50,000 respectively. On c's retirement his share is acquired by A and B in the ratio of 6:4 respectively. Gaining ratio will be a)3:2 b)2:2 c)2:3 d)none? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A,B,and C are equal partners with capitals of Rs.1,00,000, Rs.75,000, Rs.50,000 respectively. On c's retirement his share is acquired by A and B in the ratio of 6:4 respectively. Gaining ratio will be a)3:2 b)2:2 c)2:3 d)none?.
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