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P and Q are partners sharing Profits in the ratio of 2:1. R is admitted to the partnership with effect from 1st April on the term that he will bring Rs. 20,000 as his capital for 1/4th share and pays Rs. 9,000 for goodwill, half of which is to be withdrawn by P and Q. How much cash can P & Q withdraw from the firm (if any).
  • a)
    3,000:1,500.
  • b)
    6,000:3,000.
  • c)
    NIL.
  • d)
    None of the above.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
P and Q are partners sharing Profits in the ratio of 2:1. R is admitte...
P and Q withdrew half of goodwill.. 9000/2= 4500. in sacrificing ratio 3000 and 1500 by P and Q respectively.
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P and Q are partners sharing Profits in the ratio of 2:1. R is admitte...
Given:
- P and Q are partners sharing profits in the ratio of 2:1.
- R is admitted to the partnership with effect from 1st April.
- R brings Rs. 20,000 as his capital for 1/4th share.
- R pays Rs. 9,000 for goodwill, half of which is to be withdrawn by P and Q.

To find:
- How much cash can P and Q withdraw from the firm.

Solution:

Step 1: Calculate the share of R:
R brings Rs. 20,000 as his capital for 1/4th share, so the total capital would be 4 times the capital brought by R.
Total Capital = 4 * Rs. 20,000 = Rs. 80,000
Therefore, the share of R in the total capital = Rs. 20,000

Step 2: Calculate the share of P and Q:
Given that P and Q share profits in the ratio of 2:1.
Let the share of P be 2x and the share of Q be x.
Therefore, the total share of P and Q = 2x + x = 3x

Step 3: Calculate the total share of all partners:
The total share of all partners would be the sum of their individual shares.
Total share = Share of P + Share of Q + Share of R
Total share = 2x + x + Rs. 20,000

Step 4: Calculate the ratio of share of P and Q:
Given that the total share of P and Q is in the ratio of 2:1.
Therefore, (2x + x) / (2x + x + Rs. 20,000) = 2/1
Simplifying the equation, we get:
3x / (3x + Rs. 20,000) = 2/1
Cross-multiplying, we get:
3x = 2(3x + Rs. 20,000)
3x = 6x + Rs. 40,000
3x - 6x = Rs. 40,000
-3x = Rs. 40,000
x = Rs. 40,000 / -3
x = -Rs. 13,333.33 (approx.)

Step 5: Calculate the share of P and Q:
The share of P = 2x = 2 * (-Rs. 13,333.33) = -Rs. 26,666.67 (approx.)
The share of Q = x = -Rs. 13,333.33 (approx.)

Step 6: Calculate the amount to be withdrawn:
Half of the goodwill amount, i.e., Rs. 4,500 (Rs. 9,000 / 2) is to be withdrawn by P and Q. Since the profits are shared in the ratio of 2:1, P would withdraw 2/3rd of Rs. 4,500 and Q would withdraw 1/3rd of Rs. 4,500.
Amount to be withdrawn by P = (2/3) * Rs. 4,500 = Rs. 3,000
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P and Q are partners sharing Profits in the ratio of 2:1. R is admitted to the partnership with effect from 1st April on the term that he will bring Rs. 20,000 as his capital for 1/4th share and pays Rs. 9,000 for goodwill, half of which is to be withdrawn by P and Q. How much cash can P & Q withdraw from the firm (if any).a)3,000:1,500.b)6,000:3,000.c)NIL.d)None of the above.Correct answer is option 'A'. Can you explain this answer?
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