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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 capitals. Interest is allowed @ 8% p.a. Calculate interest payable on capital to Saloni during the financial year 2019–2020.

Solution

✅ Correct Option: 2

Since capital changes at different dates, interest needs to be calculated for each period separately using the formula:

Interest on Capital = Capital×Rate100×Time (months)12\text{Capital} \times \frac{\text{Rate}}{100} \times \frac{\text{Time (months)}}{12}

Saloni's Capital Changes:

Opening Capital (April 01, 2019): Rs. 2,00,000

Additional Capital (July 01, 2019): Rs. 50,000

Withdrawal (October 01, 2019): Rs. 30,000


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

Capital = Rs. 2,00,000

Interest = 2,00,000×8100×3122,00,000 \times \frac{8}{100} \times \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 \times \frac{8}{100} \times \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 \times \frac{8}{100} \times \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 correct answer is Option 2: Rs. 17,800

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