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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 consists of two components with different time periods:

Initial Capital: Rs. 1,20,000 from 1st Jan 2020 to 31st Dec 2020 = 12 months

Additional Capital: Rs. 50,000 from 1st July 2020 to 31st Dec 2020 = 6 months


Interest is calculated separately for each period using the formula:

Interest = Capital × Rate × Time12\frac{Time}{12}

Interest on Initial Capital:

= 1,20,000 × 15100\frac{15}{100} × 1212\frac{12}{12}

= 1,20,000 × 0.15

= Rs. 18,000

Interest on Additional Capital:

= 50,000 × 15100\frac{15}{100} × 612\frac{6}{12}

= 50,000 × 0.15 × 0.5

= Rs. 3,750

Total Interest on Capital for Ram:

= 18,000 + 3,750

= Rs. 21,750

The additional capital introduced on 1st July gets interest only for 6 months (July to December), not for the full year, which is why it's calculated separately with the proportionate time period.

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