To calculate the discount received in Department B, we need to analyze the information provided in the table and understand the concept of discounts in financial accounting.
Given Data:
- Sales in Department B: ₦500,000
- Purchases in Department B: ₦250,000
- Discount received in Department A: ₦24,000
- Discount allowed in Department A: ₦15,000
Understanding Discounts:
- Discount Received: This is the reduction in the amount payable to suppliers for purchases made. It is typically a percentage of the total purchases and is recorded as income.
- Discount Allowed: This is the reduction in the amount receivable from customers for sales made. It is also typically a percentage of the total sales and is recorded as an expense.
Step-by-Step Calculation:
- Identify the Discount Rate:
- We need to find the discount rate that applies to Department A first, as it is the only department with a recorded discount received.
- The discount received in Department A is ₦24,000 on purchases of ₦150,000.
[
\text{Discount Rate for Dept A} = \frac{\text{Discount Received}}{\text{Purchases}} = \frac{24,000}{150,000} = 0.16 \text{ or } 16\%
]
- Apply the Discount Rate to Department B:
- Now that we have the discount rate of 16%, we can apply this to the purchases made in Department B to find the discount received.
[
\text{Discount Received in Dept B} = \text{Purchases in Dept B} \times \text{Discount Rate}
]
[
\text{Discount Received in Dept B} = 250,000 \times 0.16 = 40,000
]
- Conclusion:
- The calculated discount received in Department B is ₦40,000. However, this value does not match any of the options provided (₦12,000, ₦15,000, ₦16,000, ₦9,000).
Analyzing the Options:
- Option A: ₦12,000: This is too low compared to the calculated discount.
- Option B: ₦15,000: This is also lower than the calculated discount.
- Option C: ₦16,000: This is still lower than the calculated discount.
- Option D: ₦9,000: This is the lowest and does not match the calculated discount.
Final Thoughts:
It appears that there may be a misunderstanding or miscommunication regarding the discount received in Department B. Based on the calculations, the discount received should be ₦40,000 based on the 16% discount rate derived from Department A's data.
Revision Summary:
- Discount Received: A reduction in the amount payable for purchases.
- Discount Rate Calculation: Use the formula (\text{Discount Rate} = \frac{\text{Discount}}{\text{Purchases}}).
- Application of Discount Rate: Apply the calculated discount rate to the purchases of the relevant department.
- Check Options: Ensure that the calculated value matches the provided options; if not, re-evaluate the data or assumptions.
In conclusion, the correct answer based on the calculations is not among the provided options, indicating a potential error in the options or the data provided.