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Let's determine the missing amounts step-by-step based on the given values.
### Company A
#### For the year 2023:
1. Net Sales (2023):
- [tex]\( \text{Net Sales} = 255,000 - 2,550 = 252,450 \)[/tex]
2. Gross Profit from Sales (2023):
- [tex]\( \text{Gross Profit} = 252,450 - 153,100 = 99,350 \)[/tex]
3. Total Operating Expenses (2023):
- [tex]\( \text{Total Operating Expenses} = 17,820 + 25,500 = 43,320 \)[/tex]
4. Profit (2023):
- [tex]\( \text{Profit} = 99,350 - 43,320 = 56,030 \)[/tex]
5. Gross Profit Ratio (2023):
- [tex]\( \text{Gross Profit Ratio} = \left( \frac{99,350}{252,450} \right) \times 100 = 39.35\% \)[/tex]
### Company B
#### For the year 2023:
1. Net Sales (2023):
- [tex]\( \text{Net Sales} = 44,500 - 1,000 - 5,400 = 41,500 \)[/tex]
2. Gross Profit from Sales (2023):
- (Given directly: -15,400)
3. Gross Profit Ratio (2023):
- [tex]\( \text{Gross Profit Ratio} = \left( \frac{-15,400}{41,500} \right) \times 100 = -37.11\% \)[/tex]
#### For the year 2022:
1. Sales (2022):
- [tex]\( \text{Sales} = 44,500 - 5,400 + 10250 = 41,500 - 10,250 = 50,250 \)[/tex]
2. Sales Discounts:
- (Given directly: 490)
3. Sales Returns and Allowances:
- (Given directly: 15,900)
4. Net Sales (2022):
- (Given directly: 41,500)
5. Cost of Goods Sold (2022):
- (Given directly: 56,900)
6. Gross Profit from Sales (2022):
- (Given directly: 19,700)
7. Selling Expenses (2022):
- Using the equation:
[tex]\( \text{Selling Expenses} = \text{Profit} + \text{Gross Profit} + \text{Cost of Goods Sold} - \text{Administrative Expenses} \)[/tex]
[tex]\[ \text{Selling Expenses} = 1,900 + 19,700 + 56,900 - 8,900 = 69,600 \][/tex]
### Finalizing the Table:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline \text{Category} & \text{Company A 2023} & \text{Company A 2022} & \text{Company B 2023} & \text{Company B 2022} \\ \hline \text{Sales} & 255,000 & 179,000 & 44,500 & 44,500 \\ \hline \text{Sales Discounts} & 2,550 & & 1,000 & 490 \\ \hline \text{Sales Returns and Allowances} & & 15,900 & 5,400 & \\ \hline \text{Net Sales} & 252,450 & 161,550 & 41,500 & 41,500 \\ \hline \text{Cost of Goods Sold} & 153,100 & & 56,900 & \\ \hline \text{Gross Profit from Sales} & 99,350 & 50,900 & -15,400 & 19,700 \\ \hline \text{Selling Expenses} & 17,820 & 18,900 & 24,900 & 69,600 \\ \hline \text{Administrative Expenses} & 25,500 & 25,500 & 29,600 & 8,900 \\ \hline \text{Total Operating Expenses} & 43,320 & 44,400 & 54,500 & 78,500 \\ \hline \text{Profit (Loss)} & 56,030 & 6,500 & -13,400 & 1,900 \\ \hline \text{Gross Profit Ratio (\%)} & 39.35\% & 39.35\% & -37.11\% & & \\ \hline \end{array} \][/tex]
This detailed step-by-step breakdown provides the complete values for the given problem, ensuring accuracy with rounded calculations only for the gross profit ratio.
### Company A
#### For the year 2023:
1. Net Sales (2023):
- [tex]\( \text{Net Sales} = 255,000 - 2,550 = 252,450 \)[/tex]
2. Gross Profit from Sales (2023):
- [tex]\( \text{Gross Profit} = 252,450 - 153,100 = 99,350 \)[/tex]
3. Total Operating Expenses (2023):
- [tex]\( \text{Total Operating Expenses} = 17,820 + 25,500 = 43,320 \)[/tex]
4. Profit (2023):
- [tex]\( \text{Profit} = 99,350 - 43,320 = 56,030 \)[/tex]
5. Gross Profit Ratio (2023):
- [tex]\( \text{Gross Profit Ratio} = \left( \frac{99,350}{252,450} \right) \times 100 = 39.35\% \)[/tex]
### Company B
#### For the year 2023:
1. Net Sales (2023):
- [tex]\( \text{Net Sales} = 44,500 - 1,000 - 5,400 = 41,500 \)[/tex]
2. Gross Profit from Sales (2023):
- (Given directly: -15,400)
3. Gross Profit Ratio (2023):
- [tex]\( \text{Gross Profit Ratio} = \left( \frac{-15,400}{41,500} \right) \times 100 = -37.11\% \)[/tex]
#### For the year 2022:
1. Sales (2022):
- [tex]\( \text{Sales} = 44,500 - 5,400 + 10250 = 41,500 - 10,250 = 50,250 \)[/tex]
2. Sales Discounts:
- (Given directly: 490)
3. Sales Returns and Allowances:
- (Given directly: 15,900)
4. Net Sales (2022):
- (Given directly: 41,500)
5. Cost of Goods Sold (2022):
- (Given directly: 56,900)
6. Gross Profit from Sales (2022):
- (Given directly: 19,700)
7. Selling Expenses (2022):
- Using the equation:
[tex]\( \text{Selling Expenses} = \text{Profit} + \text{Gross Profit} + \text{Cost of Goods Sold} - \text{Administrative Expenses} \)[/tex]
[tex]\[ \text{Selling Expenses} = 1,900 + 19,700 + 56,900 - 8,900 = 69,600 \][/tex]
### Finalizing the Table:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline \text{Category} & \text{Company A 2023} & \text{Company A 2022} & \text{Company B 2023} & \text{Company B 2022} \\ \hline \text{Sales} & 255,000 & 179,000 & 44,500 & 44,500 \\ \hline \text{Sales Discounts} & 2,550 & & 1,000 & 490 \\ \hline \text{Sales Returns and Allowances} & & 15,900 & 5,400 & \\ \hline \text{Net Sales} & 252,450 & 161,550 & 41,500 & 41,500 \\ \hline \text{Cost of Goods Sold} & 153,100 & & 56,900 & \\ \hline \text{Gross Profit from Sales} & 99,350 & 50,900 & -15,400 & 19,700 \\ \hline \text{Selling Expenses} & 17,820 & 18,900 & 24,900 & 69,600 \\ \hline \text{Administrative Expenses} & 25,500 & 25,500 & 29,600 & 8,900 \\ \hline \text{Total Operating Expenses} & 43,320 & 44,400 & 54,500 & 78,500 \\ \hline \text{Profit (Loss)} & 56,030 & 6,500 & -13,400 & 1,900 \\ \hline \text{Gross Profit Ratio (\%)} & 39.35\% & 39.35\% & -37.11\% & & \\ \hline \end{array} \][/tex]
This detailed step-by-step breakdown provides the complete values for the given problem, ensuring accuracy with rounded calculations only for the gross profit ratio.
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