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Illustrations · Illustration 6

Q.Josh and Krish are partners sharing profits and losses in the ratio of 3:1. Their capitals at the end of the financial year 2015-2016 were ₹1,50,000 and ₹75,000. During the year 2015-2016, Josh's drawings were ₹20,000 and the drawings of Krish were ₹5,000, which had been duly debited to partner's capital accounts. Profit before charging interest on capital for the year was ₹16,000. The same had also been debited in their profit sharing ratio. Krish had brought additional capital of ₹16,000 on October 1, 2015. Calculate interest on capital @ 12% p.a. for the year 2015-2016.

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Work backwards from the closing capital (add back drawings, subtract the profit share already credited, subtract additional capital brought in) to find the opening capital, then apply the normal interest calculation. Josh's opening capital was ₹1,58,000 (unchanged all year, interest ₹18,960); Krish's was ₹60,000 with a further ₹16,000 added on October 1 (interest ₹8,160).

Concept

When only the closing capital is given, reconstruct the opening capital first: add back drawings (they reduced the capital), subtract the share of profit already credited (it increased the capital), and subtract any additional capital brought in during the year (it also increased the capital) — what's left is the balance the partner started the year with.

Working Note — Opening Capital

ParticularsJosh (₹)Krish (₹)
Capital at end1,50,00075,000
Add: Drawings during the year20,0005,000
1,70,00080,000
Less: Share of profit (credited, ratio 3:1)12,0004,000
1,58,00076,000

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