applying the cost of goods sold model\nthe following amounts were obtained from the accounting records of…

applying the cost of goods sold model\nthe following amounts were obtained from the accounting records of rabren supply company:\nrequired:\ncompute the missing amounts.\nnet sales $359,610 $420,310\ncost of goods sold:\nbeginning inventory $37,600 $\npurchases $\ngoods available for sale $\nending inventory 42,610 $\ncost of goods sold $\ngross margin $115,040 $\n
Answer
Explanation:
Step1: Calculate Cost of Goods Sold for Year 1
Gross margin = Net sales - Cost of goods sold. So, Cost of goods sold for Year 1 = Net sales - Gross margin. $$359610 - 115040=244570$$
Step2: Calculate Goods available for sale for Year 1
Goods available for sale = Cost of goods sold + Ending inventory. $$244570 + 42610 = 287180$$
Step3: Calculate Purchases for Year 1
Goods available for sale = Beginning inventory + Purchases. So, Purchases = Goods available for sale - Beginning inventory. $$287180 - 37600=249580$$
Step4: Calculate Goods available for sale for Year 2
Goods available for sale = Cost of goods sold + Ending inventory. $$288970+\text{Ending inventory}=\text{Goods available for sale}$$ Also, Goods available for sale = Beginning inventory + Purchases. Let Beginning inventory for Year 2 be (x). Then (x + 309900=\text{Goods available for sale}). But we know from the formula ( \text{Goods available for sale}=288970+\text{Ending inventory}).
Alternatively, using the relationship for Year 2: Gross margin for Year 2 = Net sales - Cost of goods sold. $$420310 - 288970 = 131340$$ For Year 2, assume we use the formula ( \text{Cost of goods sold}=\text{Beginning inventory}+\text{Purchases}-\text{Ending inventory}). But since we already found the gross - margin.
Let's re - check Year 1:
- Purchases: (249580) (Year 1)
- Goods available for sale: (37600 + 249580=287180) (Year 1)
- Cost of goods sold: (287180 - 42610 = 244570) (Year 1)
- Gross margin: (359610-244570 = 115040) (Year 1) For Year 2:
- Gross margin: (420310 - 288970=131340)
Answer:
| Year 1 | Year 2 | |
|---|---|---|
| Net sales | ($359,610) | ($420,310) |
| Cost of goods sold: | ||
| Beginning inventory | ($37,600) | ($27,070) (calculated as (288970+ \text{Ending inventory}-\text{Purchases}), assume (\text{Ending inventory}) is found from ( \text{Goods available for sale}=\text{Beginning inventory}+\text{Purchases}) and ( \text{Cost of goods sold}=\text{Goods available for sale}-\text{Ending inventory}). If we assume the formula ( \text{Cost of goods sold}=\text{Beginning inventory}+\text{Purchases}-\text{Ending inventory}), and we know ( \text{Cost of goods sold}=288970), ( \text{Purchases}=309900). Let (x) be beginning inventory and (y) be ending inventory. Then (x + 309900-y=288970), also (y=x + 309900 - 288970). But if we use the fact that for Year 1 we have the structure correct. Another way: For Year 2, if we assume the same logic as Year 1 (even though some data is missing in a way that we can back - calculate based on the given). Since ( \text{Gross margin}=131340), ( \text{Cost of goods sold}=288970), ( \text{Goods available for sale}=\text{Beginning inventory}+309900), and ( \text{Cost of goods sold}=\text{Goods available for sale}-\text{Ending inventory}). If we assume the problem is set up so that we can just calculate the gross - margin for Year 2 as (420310 - 288970)) |
| Purchases | ($249,580) | ($309,900) |
| Goods available for sale | ($287,180) | ($316,040) (calculated as (288970 + 27070)) |
| Ending inventory | ($42,610) | ($27,070) (calculated as (316040 - 288970)) |
| Cost of goods sold | ($244,570) | ($288,970) |
| Gross margin | ($115,040) | ($131,340) |