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Numerical Questions · Q27

Q.On March 31, 2017, after the close of books of accounts, the capital accounts of Ram, Shyam and Mohan showed balance of Rs. 24,000 Rs. 18,000 and Rs. 12,000, respectively. It was later discovered that interest on capital @ 5% had been omitted. The profit for the year ended March 31, 2017, amounted to Rs. 36,000 and the partner's drawings had been Ram, Rs. 3,600; Shyam, Rs. 4,500 and Mohan, Rs. 2,700. The profit sharing ratio of Ram, Shyam and Mohan was 3:2:1. Calculate interest on capital.

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Interest on capital is charged on the opening capital. Working back from the closing balances (which already include profit and drawings but not the omitted interest), opening capitals are ₹9,600, ₹10,500 and ₹8,700, giving interest @ 5% of Ram ₹480, Shyam ₹525, Mohan ₹435.

Why work backwards

Interest on capital is computed on the opening capital, but only the closing balances are given. Since the interest was omitted, each closing balance reflects only opening capital + share of profit - drawings. Reversing this:

Opening Capital = Closing Capital - Share of Profit + Drawings

Working notes

1. Share of profit (₹36,000 in 3 : 2 : 1)

Ram=3/6×36,000=18,000, Shyam=2/6×36,000=12,000, Mohan=1/6×36,000=6,000

2. Opening capital

PartnerClosing (₹)- Profit (₹)+ Drawings (₹)Opening (₹)
Ram24,00018,0003,6009,600
Shyam18,00012,0004,50010,500
Mohan12,0006,0002,7008,700

3. Interest on capital @ 5%

Ram=9,600×5%=480, Shyam=10,500×5%=525, Mohan=8,700×5%=435 …

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