Math Problem Statement
Solution
The table appears to list items related to a working capital estimate, with annual estimates and periods for credit allowed. Let me calculate the working capital requirement step-by-step.
Key Concepts:
Working capital is determined by analyzing current assets (cash, debtors, stock, work-in-progress, etc.) and current liabilities (purchases, wages, etc.) based on the periods allowed for credits or durations of payments.
Table Analysis:
- Cash: ₹50,000 (Immediate asset)
- Average Stock: ₹6,00,000 (inventory as an asset)
- Work-In-Progress (WIP): ₹2,00,000 (part of working capital as it is an unfinished asset)
- Cash Sales: ₹5,00,000 (likely excluded since they are cash transactions)
- Debtors (Receivables): Credit allowed is 2 months; annual sales ₹30,00,000.
- Purchase of Materials: Credit allowed is 8 weeks; annual purchases ₹13,00,000.
- Wages: Credit allowed is 2 weeks; annual wages ₹19,50,000.
- Rent and Rates: Credit allowed is 3 months; annual rent ₹1,00,000.
- Salaries: Credit allowed is 1 month; annual salary ₹6,00,000.
- Miscellaneous Expenses: Credit allowed is 2 months; annual expenses ₹1,20,000.
Step-by-Step Calculation of Working Capital:
1. Debtors (Receivables):
Credit period = 2 months.
Debtors = (Annual Sales × Credit Period) ÷ 12
Debtors = (₹30,00,000 × 2) ÷ 12 = ₹5,00,000
2. Purchase of Materials (Payables):
Credit period = 8 weeks = 2 months.
Materials Payables = (Annual Purchases × Credit Period) ÷ 12
Materials Payables = (₹13,00,000 × 2) ÷ 12 = ₹2,16,667
3. Wages (Outstanding Wages):
Credit period = 2 weeks = 0.5 months.
Outstanding Wages = (Annual Wages × Credit Period) ÷ 12
Outstanding Wages = (₹19,50,000 × 0.5) ÷ 12 = ₹81,250
4. Rent and Rates (Outstanding Rent):
Credit period = 3 months.
Outstanding Rent = (Annual Rent × Credit Period) ÷ 12
Outstanding Rent = (₹1,00,000 × 3) ÷ 12 = ₹25,000
5. Salaries (Outstanding Salaries):
Credit period = 1 month.
Outstanding Salaries = (Annual Salaries × Credit Period) ÷ 12
Outstanding Salaries = (₹6,00,000 × 1) ÷ 12 = ₹50,000
6. Miscellaneous Expenses (Outstanding Misc. Expenses):
Credit period = 2 months.
Outstanding Misc. Expenses = (Annual Expenses × Credit Period) ÷ 12
Outstanding Misc. Expenses = (₹1,20,000 × 2) ÷ 12 = ₹20,000
Total Working Capital:
Now, let’s compute the net working capital:
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Assets:
- Cash = ₹50,000
- Stock = ₹6,00,000
- Work-In-Progress = ₹2,00,000
- Debtors = ₹5,00,000
Total Assets = ₹13,50,000
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Liabilities:
- Materials Payables = ₹2,16,667
- Outstanding Wages = ₹81,250
- Outstanding Rent = ₹25,000
- Outstanding Salaries = ₹50,000
- Outstanding Misc. Expenses = ₹20,000
Total Liabilities = ₹3,92,917
Net Working Capital = Total Assets - Total Liabilities
Net Working Capital = ₹13,50,000 - ₹3,92,917 = ₹9,57,083
Would you like further clarification or a breakdown of any specific section? Let me know!
Related Questions:
- How are credit periods converted into monthly fractions for calculations?
- Why is cash sales excluded from working capital requirements?
- Can working capital requirements vary for different businesses?
- What role does WIP play in determining working capital?
- How do short credit periods affect the liabilities calculation?
Tip:
Working capital ensures that a business can meet its short-term obligations, so maintaining an optimal level is key to financial stability. Always monitor both assets and liabilities periodically.
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Math Problem Analysis
Mathematical Concepts
Working Capital Management
Time-based Proportions
Financial Ratios
Formulas
Debtors = (Annual Sales × Credit Period) ÷ 12
Outstanding Expenses = (Annual Expenses × Credit Period) ÷ 12
Net Working Capital = Total Assets - Total Liabilities
Theorems
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Suitable Grade Level
Undergraduate Finance or Accounting
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