Calculate interest on drawings if an amount of ₹7,500 is withdrawn at the end of every two months for the year. The rate of interest on drawings is 8% p.a.
₹1,500
Calculating interest on drawings is an important concept in partnership accounting. When a partner withdraws a fixed amount at regular intervals, we can use the average period method to simplify the interest calculation.
In this specific problem, a partner withdraws ₹7,500 at the end of every two months for the entire year. The interest rate on these drawings is 8% per annum. We need to find the total interest on drawings for the year.
The drawings are made at the end of every two months for a year (12 months). Let's list when the drawings occur:
So, there are a total of 6 drawings made during the year.
The amount withdrawn each time is ₹7,500. Since there are 6 drawings:
Total Drawings = Amount per drawing $\times$ Number of drawings
Total Drawings = ₹7,500 $\times$ 6
Total Drawings = ₹45,000
When a fixed amount is withdrawn at the end of equal intervals (like every two months), we use the average period method. The average period is calculated as:
Average Period $= \frac{\text{Time left after 1st drawing} + \text{Time left after last drawing}}{2}$
Let's find the time left:
Now, calculate the average period:
Average Period $= \frac{10 \text{ months} + 0 \text{ months}}{2} = \frac{10 \text{ months}}{2} = 5 \text{ months}$
Using the total drawings, interest rate, and average period, we can calculate the interest on drawings:
Interest on Drawings $= \text{Total Drawings} \times \text{Rate of Interest} \times \frac{\text{Average Period}}{12 \text{ months}}$
Interest on Drawings $= ₹45,000 \times \frac{8}{100} \times \frac{5}{12}$
Interest on Drawings $= ₹45,000 \times 0.08 \times \frac{5}{12}$
Interest on Drawings $= ₹3,600 \times \frac{5}{12}$
Interest on Drawings $= \frac{3,600 \times 5}{12}$
Interest on Drawings $= \frac{18,000}{12}$
Interest on Drawings $= ₹1,500
The calculated interest on drawings is ₹1,500.
Here's a quick reference for the average period when a fixed amount is withdrawn regularly throughout the year:
| Drawing Pattern | Average Period |
|---|---|
| Beginning of every month | 6.5 months |
| Middle of every month | 6 months |
| End of every month | 5.5 months |
| Beginning of every quarter | 7.5 months |
| End of every quarter | 4.5 months |
| Beginning of every half-year | 9 months |
| End of every half-year | 3 months |
| Beginning of every two months | 7 months (12-0)/2 + 2/2 = 6+1=7 |
| End of every two months | 5 months (as calculated above) |
Drawings: Drawings refer to the amount of cash or goods withdrawn by a partner from the business for personal use. In accounting, drawings reduce the partner's capital.
Interest on Drawings: In many partnership agreements, partners are charged interest on their drawings. This is typically done to discourage excessive withdrawals and to compensate the firm for the capital withdrawn by partners that could have been used in the business. It is an income for the firm and is credited to the Profit and Loss Appropriation Account. It is debited to the partner's Capital Account or Current Account.
Average Period Method: This method is used when drawings of a fixed amount are made at regular intervals (beginning, middle, or end of month, quarter, half-year, etc.). Instead of calculating interest on each drawing for the specific period it was outstanding, we calculate interest on the total drawings for an average period. This simplifies the calculation significantly.
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