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Sameer and Yasmin are partners with capitals of Rs 15,00,000 and Rs 10,00,000 respectively. They agreed to share profits in the ratio of 3:2. The books are closed on March 31, every year. They admit Ravi on October 1, 2019 in the partnership, who bring Rs 12,00,000 as capital and Sameer also introduced additional capital Rs 3,00,000 on that date. Interest on partner's capital is provided @5% p.a. The amount of interest on the capital of Sameer for the year 2019-20 is-

Solution

✅ Correct Option: 1

Since Sameer introduced additional capital on October 1, 2019, his capital balance changed during the year. Interest needs to be calculated separately for two periods.

Period 1: April 1, 2019 to September 30, 2019 (6 months)

Capital: Rs 15,00,000

Interest = 15,00,000×5100×61215,00,000 × \frac{5}{100} × \frac{6}{12}

Interest = Rs 37,500


Period 2: October 1, 2019 to March 31, 2020 (6 months)

Capital: Rs 15,00,000 + Rs 3,00,000 = Rs 18,00,000

Interest = 18,00,000×5100×61218,00,000 × \frac{5}{100} × \frac{6}{12}

Interest = Rs 45,000


Total Interest on Sameer's Capital for 2019-20

= Rs 37,500 + Rs 45,000 = Rs 82,500

The additional capital introduced by Sameer on October 1 earns interest only for 6 months (October to March), while his original capital earns interest for the full year. This is why we calculate interest in two parts based on the time period for which different capital amounts were maintained in the business.

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