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Sagot :
Certainly! Let's systematically solve for the unknown values and percentages in the accounting records provided for Businesses B and C as of 28 February 2021.
### For Business B:
1. Cost of Goods Available for Sales (D):
[tex]\[ \text{Cost of Goods Available for Sales} = \text{Opening Stock} + \text{Purchases} + \text{Carriage on Purchases} \][/tex]
[tex]\[ \text{Cost of Goods Available for Sales} = 56000 + 120000 + 7500 = 183500 \][/tex]
2. Closing Stock (E):
[tex]\[ \text{Cost of Goods Available for Sales} = \text{Cost of Sales} + \text{Closing Stock} \][/tex]
So,
[tex]\[ \text{Closing Stock} = \text{Cost of Goods Available for Sales} - \text{Cost of Sales} \][/tex]
[tex]\[ \text{Closing Stock} = 183500 - 135500 = 48000 \][/tex]
3. Sales (F):
[tex]\[ \text{Sales} = \text{Cost of Sales} + \text{Gross Profit} \][/tex]
[tex]\[ \text{Sales} = 135500 + 54200 = 189700 \][/tex]
4. Gross Profit on Turnover (G):
[tex]\[ \text{Gross Profit on Turnover} = \left(\frac{\text{Gross Profit}}{\text{Sales}}\right) \times 100 \][/tex]
[tex]\[ \text{Gross Profit on Turnover} = \left(\frac{54200}{189700}\right) \times 100 \approx 28.57\% \][/tex]
### For Business C:
5. Closing Stock:
[tex]\[ \text{Cost of Goods Available for Sales} = \text{Cost of Sales} + \text{Closing Stock} \][/tex]
[tex]\[ \text{Closing Stock} = \text{Cost of Goods Available for Sales} - \text{Cost of Sales} \][/tex]
[tex]\[ \text{Closing Stock} = 169000 - 130000 = 39000 \][/tex]
6. Gross Profit on Cost of Sales (K):
[tex]\[ \text{Gross Profit on Cost of Sales} = \left(\frac{\text{Gross Profit}}{\text{Cost of Sales}}\right) \times 100 \][/tex]
[tex]\[ \text{Gross Profit on Cost of Sales} = \left(\frac{5000}{130000}\right) \times 100 \approx 3.85\% \][/tex]
7. Gross Profit on Turnover (L):
[tex]\[ \text{Gross Profit on Turnover} = \left(\frac{\text{Gross Profit}}{\text{Sales}}\right) \times 100 \][/tex]
[tex]\[ \text{Gross Profit on Turnover} = \left(\frac{5000}{208000}\right) \times 100 \approx 2.40\% \][/tex]
### Summary of Calculated Values:
#### Business B:
- D (Cost of Goods Available for Sales): 183500
- E (Closing Stock): 48000
- F (Sales): 189700
- G (Gross Profit on Turnover): 28.57%
#### Business C:
- Closing Stock: 39000
- K (Gross Profit on Cost of Sales): 3.85%
- L (Gross Profit on Turnover): 2.40%
This concludes the solution for the missing amounts and percentages based on the given accounting records as of 28 February 2021.
### For Business B:
1. Cost of Goods Available for Sales (D):
[tex]\[ \text{Cost of Goods Available for Sales} = \text{Opening Stock} + \text{Purchases} + \text{Carriage on Purchases} \][/tex]
[tex]\[ \text{Cost of Goods Available for Sales} = 56000 + 120000 + 7500 = 183500 \][/tex]
2. Closing Stock (E):
[tex]\[ \text{Cost of Goods Available for Sales} = \text{Cost of Sales} + \text{Closing Stock} \][/tex]
So,
[tex]\[ \text{Closing Stock} = \text{Cost of Goods Available for Sales} - \text{Cost of Sales} \][/tex]
[tex]\[ \text{Closing Stock} = 183500 - 135500 = 48000 \][/tex]
3. Sales (F):
[tex]\[ \text{Sales} = \text{Cost of Sales} + \text{Gross Profit} \][/tex]
[tex]\[ \text{Sales} = 135500 + 54200 = 189700 \][/tex]
4. Gross Profit on Turnover (G):
[tex]\[ \text{Gross Profit on Turnover} = \left(\frac{\text{Gross Profit}}{\text{Sales}}\right) \times 100 \][/tex]
[tex]\[ \text{Gross Profit on Turnover} = \left(\frac{54200}{189700}\right) \times 100 \approx 28.57\% \][/tex]
### For Business C:
5. Closing Stock:
[tex]\[ \text{Cost of Goods Available for Sales} = \text{Cost of Sales} + \text{Closing Stock} \][/tex]
[tex]\[ \text{Closing Stock} = \text{Cost of Goods Available for Sales} - \text{Cost of Sales} \][/tex]
[tex]\[ \text{Closing Stock} = 169000 - 130000 = 39000 \][/tex]
6. Gross Profit on Cost of Sales (K):
[tex]\[ \text{Gross Profit on Cost of Sales} = \left(\frac{\text{Gross Profit}}{\text{Cost of Sales}}\right) \times 100 \][/tex]
[tex]\[ \text{Gross Profit on Cost of Sales} = \left(\frac{5000}{130000}\right) \times 100 \approx 3.85\% \][/tex]
7. Gross Profit on Turnover (L):
[tex]\[ \text{Gross Profit on Turnover} = \left(\frac{\text{Gross Profit}}{\text{Sales}}\right) \times 100 \][/tex]
[tex]\[ \text{Gross Profit on Turnover} = \left(\frac{5000}{208000}\right) \times 100 \approx 2.40\% \][/tex]
### Summary of Calculated Values:
#### Business B:
- D (Cost of Goods Available for Sales): 183500
- E (Closing Stock): 48000
- F (Sales): 189700
- G (Gross Profit on Turnover): 28.57%
#### Business C:
- Closing Stock: 39000
- K (Gross Profit on Cost of Sales): 3.85%
- L (Gross Profit on Turnover): 2.40%
This concludes the solution for the missing amounts and percentages based on the given accounting records as of 28 February 2021.
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