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Q.X and Y were partners in a firm. They admitted Z as a new partner for 20% share in the profits. After all adjustments regarding general reserve, goodwill, gain or loss on revaluation, the balances in capital accounts of X and Y were Rs. 3,85,000 and Rs. 4,15,000 respectively. Z brought proportionate capital so as to give him 20% share in the profits. Calculate the amount of capital to be brought by Z.

Manipur CohsemCOHSEM Manipur Higher Secondary Board (Commerce) 2022Subjective· 4mImportance★★★★★
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X and Y's combined adjusted capital (Rs. 8,00,000) represents the 80% share retained by old partners; Z's 20% share works out to Rs. 2,00,000.

Given: X and Y admit Z for 20% share in profits. After all adjustments (general reserve, goodwill, revaluation gain/loss), X's capital = Rs. 3,85,000 and Y's capital = Rs. 4,15,000. Z is to bring proportionate capital for his 20% share.

Step 1 — Combined adjusted capital of X and Y (old partners):

X + Y = 3,85,000 + 4,15,000 = Rs. 8,00,000

Since Z is admitted for a 20% share, X and Y together continue to hold the remaining 80% share of the new firm. Their combined adjusted capital of Rs. 8,00,000 therefore represents 80% of the total capital of the reconstituted firm.

Step 2 — Total capital of the new firm: …

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