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Himanshu withdrew Rs.2,500 at the end of each month. The partnership deed provides for charging of interest on drawings @ 12% p.a. Calculate interest on Himanshu's drawings for the year ended March 31, 2017.

Solution

✅ Correct Option: 2

When equal amounts are withdrawn at the end of each month, interest is calculated using a specific time period adjustment.

Given:

  • Monthly drawings = Rs. 2,500
  • Number of months = 12
  • Rate of interest = 12% p.a.

Total Drawings for the year:

Total Drawings = Rs. 2,500 × 12 = Rs. 30,000

Calculating Interest:

For withdrawals made at the end of each month, the average period formula is:

Average Period = (n−1)2n×12\frac{(n-1)}{2n} \times 12 months

where nn = number of months = 12

Average Period = (12−1)2×12×12\frac{(12-1)}{2 \times 12} \times 12 = 1124×12\frac{11}{24} \times 12 = 112\frac{11}{2} months = 5.5 months

Converting to years: 5.512\frac{5.5}{12} years

Interest on Drawings = Total Drawings × Rate × Time

= Rs. 30,000 × 12100\frac{12}{100} × 5.512\frac{5.5}{12}

= Rs. 30,000 × 12100\frac{12}{100} × 1124\frac{11}{24}

= Rs. 30,000 × 11200\frac{11}{200}

= Rs. 1,650

The formula simplifies because when drawings are at month-end, the first withdrawal (end of month 1) earns interest for 11 months, the second for 10 months, and so on, with the last withdrawal earning no interest.

Correct Option: 2

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