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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 withdrew Rs. 3,000 at the beginning of each month for the whole year, we need to calculate interest on these periodic drawings.

Total Drawings = Rs. 3,000 × 12 = Rs. 36,000

When equal amounts are withdrawn at the beginning of each month, the formula for interest on drawings is:

Interest on Drawings=Total Drawings×Rate100×Time Period+12×12\text{Interest on Drawings} = \text{Total Drawings} \times \frac{\text{Rate}}{100} \times \frac{\text{Time Period} + 1}{2 \times 12}

The "+1" is added because drawings are made at the beginning of each month (if withdrawn at the end, we would use the formula without +1).

Time Period = 12 months (whole year)

Substituting the values:

Interest=36,000×9100×12+12×12\text{Interest} = 36,000 \times \frac{9}{100} \times \frac{12 + 1}{2 \times 12}

=36,000×9100×1324= 36,000 \times \frac{9}{100} \times \frac{13}{24}

=36,000×9×13100×24= \frac{36,000 \times 9 \times 13}{100 \times 24}

=4,212,0002,400= \frac{4,212,000}{2,400}

=Rs. 1,755= \text{Rs. } 1,755

The average period for which drawings remain with Ram is 6.5 months (13/2 months), since the first drawing stays for 12 months and the last for 1 month.

Interest on Drawings = Rs. 1,755

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