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Calculate interest on drawing if Ram withdrew Rs. 3,000 per month at the beginning of each month for the whole year, if interest on drawing is charged @ 9 % per annum.

Solution

✅ Correct Option: 4

Since Ram withdraws Rs. 3,000 per month at the beginning of each month, the money is used for varying periods throughout the year.

Total drawings for the year = Rs. 3,000 × 12 = Rs. 36,000

For drawings at the beginning of each month, the average period formula is:

Average Period = n+12\frac{n + 1}{2} months, where nn = number of months

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


Interest on drawings is calculated using:

Interest = Total Drawings × Rate × Time / 100

Since the time is in months, we convert the annual rate accordingly:

Interest = 36,000×9×6.512×100\frac{36,000 × 9 × 6.5}{12 × 100}

Interest = 2,106,0001,200\frac{2,106,000}{1,200}

Interest = Rs. 1,755

Note: When drawings are made at the beginning of the month, we use 6.5 months as average period (not 5.5 months which is used when drawings are at the end of each month).

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