Rakshit and Malik are partners in a firm sharing profits and losses in the ratio of 4 : 1. On 1st April, 2021, their capitals were Rs. 1,20,000 and Rs.80,000 respectively. On 1st December, 2021, they decided that the total capital of the firm should be Rs.3,00,000 to be contributed by them in the ratio of 2 : 1. According to the partnership deed, interest on capital is allowed to the partners @ 6% p.a. Calculate interest on capital to be allowed for the year ending 31st March, 2022
Question
Rakshit and Malik are partners in a firm sharing profits and losses in the ratio of 4 : 1. On 1st April, 2021, their capitals were Rs. 1,20,000 and Rs.80,000 respectively. On 1st December, 2021, they decided that the total capital of the firm should be Rs.3,00,000 to be contributed by them in the ratio of 2 : 1. According to the partnership deed, interest on capital is allowed to the partners @ 6% p.a. Calculate interest on capital to be allowed for the year ending 31st March, 2022
Solution
To calculate the interest on capital for Rakshit and Malik, we need to first determine their capital contributions for the year ending 31st March, 2022.
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From 1st April, 2021 to 30th November, 2021 (8 months), Rakshit's capital was Rs. 1,20,000 and Malik's capital was Rs. 80,000.
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From 1st December, 2021 to 31st March, 2022 (4 months), they decided to change their capital contributions to a total of Rs. 3,00,000 in the ratio of 2:1. This means Rakshit contributed 2/3 of the total capital and Malik contributed 1/3. So, Rakshit's capital was Rs. 2,00,000 (2/3 of Rs. 3,00,000) and Malik's capital was Rs. 1,00,000 (1/3 of Rs. 3,00,000).
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Now, we calculate the interest on capital for each partner at 6% per annum.
For Rakshit:
- For the first 8 months: Interest = 1,20,000 * 6/100 * 8/12 = Rs. 4,800
- For the next 4 months: Interest = 2,00,000 * 6/100 * 4/12 = Rs. 4,000
- Total interest for Rakshit = Rs. 4,800 + Rs. 4,000 = Rs. 8,800
For Malik:
- For the first 8 months: Interest = 80,000 * 6/100 * 8/12 = Rs. 3,200
- For the next 4 months: Interest = 1,00,000 * 6/100 * 4/12 = Rs. 2,000
- Total interest for Malik = Rs. 3,200 + Rs. 2,000 = Rs. 5,200
So, the interest on capital to be allowed for the year ending 31st March, 2022 is Rs. 8,800 for Rakshit and Rs. 5,200 for Malik.
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