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Ram and Laxman started business on 1st Jan 2020 with a capital of Rs 1,20,000 and Rs 80,000 respectively. Ram introduced Rs. 50,000 to the firm on 1st July 2020 as additional capital. If the rate of interest is 15% p.a. Assuming that accounts are closed as per calender year then the Interest payable to Ram on Capital would be:

Solution

✅ Correct Option: 4

Ram's capital has two components with different time periods:

Initial Capital: Rs. 1,20,000 (from 1st Jan 2020 to 31st Dec 2020)

Time period = 12 months

Interest = Principal×Rate×Time12\text{Principal} \times \text{Rate} \times \frac{\text{Time}}{12}

Interest on initial capital = 1,20,000×15100×12121,20,000 \times \frac{15}{100} \times \frac{12}{12} = Rs. 18,000


Additional Capital: Rs. 50,000 (from 1st July 2020 to 31st Dec 2020)

Time period = 6 months (July to December)

Interest on additional capital = 50,000×15100×61250,000 \times \frac{15}{100} \times \frac{6}{12} = Rs. 3,750


Total Interest on Ram's Capital = 18,000 + 3,750 = Rs. 21,750

The additional capital introduced mid-year earns interest only for the remaining 6 months of the accounting period, which is why it's calculated separately from the initial capital that remained invested for the full year.

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