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Saloni and Srishti are partners in a firm. Their capital accounts as on April 01, 2019 showed a balance of Rs. 2,00,000 and Rs. 3,00,000 respectively. On July 01, 2019 Saloni introduced additional capital of Rs. 50,000 and Srishti, Rs. 60,000. On October 01, 2019 Saloni withdrew Rs. 30,000 and on January 01, 2020 Srishti withdrew Rs. 15,000 from their respective capitals. Interest is allowed @ 8% p.a. Calculate interest payable on capital to Saloni during the financial year 2019–2020.

Solution

✅ Correct Option: 2

Interest on capital is calculated on the capital balance for the time period it was actually available in the business. Since Saloni's capital changed during the year, interest needs to be calculated separately for each period.

Saloni's Capital Movements:

  • Opening Capital (April 01, 2019): Rs. 2,00,000
  • Additional Capital (July 01, 2019): Rs. 50,000
  • Withdrawal (October 01, 2019): Rs. 30,000

Interest Rate = 8% p.a.


Period 1: April 01, 2019 to June 30, 2019 (3 months)

Capital = Rs. 2,00,000

Interest = 2,00,000×8100×3122,00,000 × \frac{8}{100} × \frac{3}{12} = Rs. 4,000

Period 2: July 01, 2019 to September 30, 2019 (3 months)

Capital = Rs. 2,00,000 + Rs. 50,000 = Rs. 2,50,000

Interest = 2,50,000×8100×3122,50,000 × \frac{8}{100} × \frac{3}{12} = Rs. 5,000

Period 3: October 01, 2019 to March 31, 2020 (6 months)

Capital = Rs. 2,50,000 - Rs. 30,000 = Rs. 2,20,000

Interest = 2,20,000×8100×6122,20,000 × \frac{8}{100} × \frac{6}{12} = Rs. 8,800


Total Interest on Capital for Saloni:

Rs. 4,000 + Rs. 5,000 + Rs. 8,800 = Rs. 17,800

The formula used is: Interest = Capital × Rate × Time12\frac{Time}{12} (where time is in months)

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