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Numerical Questions · Q31

Q.A and B are partners sharing profits and losses in the ratio of 3:1. On 1st April 2017 they admitted C as a new partner for 1/4 share in the profits of the firm. C brings ₹20,000 for his 1/4 share in the profits of the firm. The capitals of A and B after all adjustments in respect of goodwill, revaluation of assets and liabilities, etc. have been worked out at ₹50,000 for A and ₹12,000 for B. It is agreed that partners' capitals will be according to new profit sharing ratio. Calculate the new capitals of A and B and pass the necessary journal entries assuming that A and B brought in or withdrew the necessary cash as the case may be for making their capitals in proportion to their profit sharing ratio?

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C brings ₹20,000 for a 1/4 share, so the new firm's total capital is ₹80,000 and the new ratio is 9:3:4. Required capitals are A ₹45,000 and B ₹15,000; against their present balances, A withdraws ₹5,000 (excess) and B brings in ₹3,000 (deficit).

New profit-sharing ratio

C's share =1/4; the remaining 3/4 is shared by A and B in their old ratio 3:1.

  • A =3/4×3/4=9/16
  • B =1/4×3/4=3/16
  • C =1/4=4/16

New ratio = 9:3:4.

Total capital and required capitals

C's ₹20,000 represents his 1/4 share, so total capital =20,000×4= ₹80,000.

  • A =9/16×80,000= ₹45,000
  • B =3/16×80,000= ₹15,000
  • C =4/16×80,000= ₹20,000 (already brought)

Adjustment

PartnerPresent capital (Rs.)Required capital (Rs.)Adjustment (Rs.)
A50,00045,000Withdraw 5,000
B12,00015,000Bring in 3,000

Journal entries

| Date | Particulars | Debit (Rs.) | Credit (Rs.) | …

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