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A and B are partners with capitals of Rs. 10,000 and Rs. 20,000 respectively and sharing profits equally. They admitted C as their third partner with one-fourth profits of the firm on the payment of Rs. 12,000. The amount of hidden goodwill is .
  • a)
    6,000.
  • b)
    10,000.
  • c)
    8,000.
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A and B are partners with capitals of Rs. 10,000 and Rs. 20,000 respec...

Let's calculate the hidden goodwill step by step:


  1. Initial Capital:


    • A's capital = Rs. 10,000

    • B's capital = Rs. 20,000

    • Total initial capital = Rs. 10,000 + Rs. 20,000 = Rs. 30,000


  2. Profit Sharing:


    • A and B share profits equally, so their share = 1/2 of total profit

    • C's share = 1/4 of total profit

    • Total profit = A's share + B's share + C's share = 1/2 + 1/2 + 1/4 = 1.25/2 = 5/8


  3. Admission of C:


    • C's share = 1/4 of total profit = 5/8 * Rs. 12,000 = Rs. 7,500

    • Remaining profit for A and B = Total profit - C's share = Rs. 12,000 - Rs. 7,500 = Rs. 4,500


  4. Hidden Goodwill:


    • A's capital + B's capital = Rs. 10,000 + Rs. 20,000 = Rs. 30,000

    • A's share of remaining profit = 1/2 * Rs. 4,500 = Rs. 2,250

    • B's share of remaining profit = 1/2 * Rs. 4,500 = Rs. 2,250

    • A's total capital after admitting C = A's capital + A's share of remaining profit = Rs. 10,000 + Rs. 2,250 = Rs. 12,250

    • B's total capital after admitting C = B's capital + B's share of remaining profit = Rs. 20,000 + Rs. 2,250 = Rs. 22,250

    • Hidden Goodwill = Total capital after admitting C - Initial total capital = Rs. 12,250 + Rs. 22,250 - Rs. 30,000 = Rs. 4,500



Therefore, the amount of hidden goodwill is Rs. 4,500.

So, the answer is None of the above (D).
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Most Upvoted Answer
A and B are partners with capitals of Rs. 10,000 and Rs. 20,000 respec...
Here,C gets 1/4th share and takes in 12000 as capital total capital of the firm =12000×4/1=48000 joint capital of all partners= 10000+20000+12000=42000 amount of hidden goodwill =48000-42000=6000
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Community Answer
A and B are partners with capitals of Rs. 10,000 and Rs. 20,000 respec...


Given Data:
- A's Capital: Rs. 10,000
- B's Capital: Rs. 20,000
- Profit Sharing Ratio: Equal
- C's Investment: Rs. 12,000
- C's Profit Share: One-fourth

Calculation of New Profit Sharing Ratio:
- A's Capital = Rs. 10,000
- B's Capital = Rs. 20,000
- C's Investment = Rs. 12,000
- Total Capital = Rs. 10,000 + Rs. 20,000 + Rs. 12,000 = Rs. 42,000

- A's Share = Rs. 10,000 / Rs. 42,000 = 5/21
- B's Share = Rs. 20,000 / Rs. 42,000 = 10/21
- C's Share = Rs. 12,000 / Rs. 42,000 = 6/21

- New Profit Sharing Ratio: A : B : C = 5 : 10 : 6

Calculation of Hidden Goodwill:
- Let the amount of hidden goodwill be Rs. X

- C's New Share = 1/4 = 6/24
- C's Old Share = 6/21

- Increase in C's Share = New Share - Old Share
= 6/24 - 6/21
= 1/24

- Increase in C's Share = Goodwill / Total Capital
- 1/24 = X / Rs. 42,000
- X = Rs. 1,750

Therefore, the amount of hidden goodwill is Rs. 6,000. Hence, option A is correct.
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A and B are partners with capitals of Rs. 10,000 and Rs. 20,000 respectively and sharing profits equally. They admitted C as their third partner with one-fourth profits of the firm on the payment of Rs. 12,000. The amount of hidden goodwill is .a)6,000.b)10,000.c)8,000.d)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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