Calculating Interest on Drawings at the End of Each Month

This problem requires us to calculate the interest charged on money withdrawn by a partner (Mr. Kunal) from the firm for personal use. These withdrawals are known as drawings. The key information is the amount withdrawn per month, the frequency (end of each month), the total period (one year), and the interest rate.

Understanding Interest on Drawings

Firms charge interest on drawings to discourage partners from withdrawing excessive amounts of money for personal use and to compensate the firm for the loss of potential earnings on that money.

Method for Calculation

When a fixed amount is withdrawn at regular intervals (like monthly), we can use the Average Period Method to simplify the calculation. This method assumes the entire drawing amount is outstanding for an average period.

Steps for Average Period Method (End of Month Drawings)

1. Calculate the total amount of drawings during the year.
2. Determine the average period for which the drawings are outstanding.
3. Calculate the interest on drawings using the total drawings, interest rate, and the average period.

Step 1: Calculate Total Drawings

Mr. Kunal withdrew ₹10,000 each month for one year.

Number of months in a year = 12

Total Drawings = Amount per month $\times$ Number of months

Total Drawings = ₹10,000 $\times$ 12 = ₹1,20,000

So, the total drawings for the year are ₹1,20,000.

Step 2: Determine the Average Period

Since the withdrawals are made at the end of each month, we use a specific formula for the average period:

Average Period = $\frac{\text{Time left after 1st drawing} + \text{Time left after last drawing}}{2}$

• The first drawing is made at the end of April (assuming the year starts April 1st). The time left after this drawing until March 31st is 11 months (April to March is 12 months, but withdrawal is at the end of April, so May, June, ..., March = 11 months).
• The last drawing is made at the end of March. The time left after this drawing until March 31st is 0 months.

Average Period = $\frac{11 \text{ months} + 0 \text{ months}}{2} = \frac{11}{2} \text{ months} = 5.5 \text{ months}$

The average period for interest calculation is 5.5 months.

Step 3: Calculate Interest on Drawings

The formula for interest on drawings using the average period is:

Interest on Drawings = Total Drawings $\times$ $\frac{\text{Rate of Interest}}{100} \times \frac{\text{Average Period}}{12}$

Given:

• Total Drawings = ₹1,20,000
• Rate of Interest = 8% p.a.
• Average Period = 5.5 months

Let's plug in the values:

Interest on Drawings = ₹$1,20,000 \times \frac{8}{100} \times \frac{5.5}{12}$

Interest on Drawings = ₹$1,20,000 \times 0.08 \times \frac{5.5}{12}$

Interest on Drawings = ₹$9,600 \times \frac{5.5}{12}$

Interest on Drawings = ₹$9,600 \times 0.45833...$

Interest on Drawings = ₹$4,400$

Conclusion

The interest on drawings for Mr. Kunal for the year ending March 31, 2022, charged at 8% p.a., is ₹4,400.

Revision Table: Interest on Drawings Calculation Methods

Additional Information: Understanding Personal Drawings in Accounting

Drawings represent funds or goods taken by the owner(s) of a business for their personal use, not related to the business operations. In sole proprietorships and partnerships, drawings reduce the owner's or partner's capital account. Interest on drawings is a gain for the firm (revenue) and a charge against the partner's capital account. It is typically credited to the Profit and Loss Appropriation Account or directly to the partners' Capital/Current Accounts depending on the accounting practice and partnership deed.

The partnership deed usually specifies whether interest on drawings is to be charged and at what rate. If the deed is silent, no interest on drawings is charged.