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When drawings are made at the beginning of every month for the full year, interest on drawings is calculated for

Solution

✅ Correct Option: 2

When equal amounts are withdrawn at the beginning of every month throughout the year, we need to find the average period for which the total drawings remain with the partner.

The first drawing (made on 1st January) stays with the partner for 12 months, while the last drawing (made on 1st December) stays for only 1 month. All other drawings fall between these periods.

To find the average time period, we use:

Average Period = n+12\frac{n + 1}{2} months

where nn = total number of months = 12

Average Period = 12+12\frac{12 + 1}{2} = 132\frac{13}{2} = 6.5 months

This can also be verified by calculating the actual average:

Drawing periods: 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 months

Average = 12+11+10+9+8+7+6+5+4+3+2+112\frac{12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1}{12} = 7812\frac{78}{12} = 6.5 months

Therefore, interest on drawings is calculated for 6.5 months.

The correct answer is Option 2.

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