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A and B started a business with Rs. 20000 and Rs. 35000 respectively. They agreed to share the profit in the ratio of their capital. C joins the partnership after 1 year with the condition that A, B and C will share profit equally and pays Rs. 220000 as premium for this, to be shared between A and B. This is to be divided between A and B in the ratio of 
  • a)
    10 : 1
  • b)
    1 : 10 
  • c)
    9 : 10
  • d)
    10 : 9 
Correct answer is option 'B'. Can you explain this answer?
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A and B started a business with Rs. 20000 and Rs. 35000 respectively. ...
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A and B started a business with Rs. 20000 and Rs. 35000 respectively. ...
Solution:

Given, A invested Rs. 20000, B invested Rs. 35000 and C joined after 1 year.

Let the total profit be x.

Ratio of profit sharing between A and B = 20000 : 35000 = 4 : 7

Profit sharing ratio of A, B and C = 1 : 1 : 1

Step 1: Calculation of profit sharing between A and B before C joins the partnership.

Total profit = x

Profit sharing of A = (4/11)x

Profit sharing of B = (7/11)x

Step 2: Calculation of total profit sharing after C joins the partnership.

Let the total profit after C joins be y.

Now, the profit sharing ratio between A, B and C is 1 : 1 : 1

Profit sharing of A = (1/3)y

Profit sharing of B = (1/3)y

Profit sharing of C = (1/3)y

Total amount invested by A and B = Rs. 55000

Premium amount paid by C = Rs. 220000

This premium amount is to be shared between A and B in the ratio of their capital.

Ratio of capital of A and B = 20000 : 35000 = 4 : 7

Step 3: Calculation of premium amount to be shared between A and B.

Premium amount to be shared between A and B = (4/11) x 220000 = Rs. 80000

Ratio of sharing of premium amount between A and B = 4 : 7

Step 4: Calculation of profit sharing ratio of A and B after sharing of premium amount.

Profit sharing of A = (1/3)y + (4/11) x 80000

Profit sharing of B = (1/3)y + (7/11) x 80000

Step 5: Calculation of y.

Profit sharing of A = Profit sharing of B

(1/3)y + (4/11) x 80000 = (1/3)y + (7/11) x 80000

(3/11) x 80000 = (4/11) y - (7/11) y

(3/11) x 80000 = -(3/11) y

y = - Rs. 240000

Since profit cannot be negative, the partnership is in loss.

Ratio of sharing of premium amount between A and B = 4 : 7

Premium amount to be shared between A and B = (4/11) x 220000 = Rs. 80000

Ratio of profit sharing between A and B after sharing of premium amount = 1 : 10

Hence, option B is the correct answer.
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A and B started a business with Rs. 20000 and Rs. 35000 respectively. ...
Answer ( B ) 1:10
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A and B started a business with Rs. 20000 and Rs. 35000 respectively. They agreed to share the profit in the ratio of their capital. C joins the partnership after 1 year with the condition that A, B and C will share profit equally and pays Rs. 220000 as premium for this, to be shared between A and B. This is to be divided between A and B in the ratio ofa)10 : 1b)1 : 10c)9 : 10d)10 : 9Correct answer is option 'B'. Can you explain this answer?
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A and B started a business with Rs. 20000 and Rs. 35000 respectively. They agreed to share the profit in the ratio of their capital. C joins the partnership after 1 year with the condition that A, B and C will share profit equally and pays Rs. 220000 as premium for this, to be shared between A and B. This is to be divided between A and B in the ratio ofa)10 : 1b)1 : 10c)9 : 10d)10 : 9Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A and B started a business with Rs. 20000 and Rs. 35000 respectively. They agreed to share the profit in the ratio of their capital. C joins the partnership after 1 year with the condition that A, B and C will share profit equally and pays Rs. 220000 as premium for this, to be shared between A and B. This is to be divided between A and B in the ratio ofa)10 : 1b)1 : 10c)9 : 10d)10 : 9Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B started a business with Rs. 20000 and Rs. 35000 respectively. They agreed to share the profit in the ratio of their capital. C joins the partnership after 1 year with the condition that A, B and C will share profit equally and pays Rs. 220000 as premium for this, to be shared between A and B. This is to be divided between A and B in the ratio ofa)10 : 1b)1 : 10c)9 : 10d)10 : 9Correct answer is option 'B'. Can you explain this answer?.
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