Math Problem Statement

Vaste activa:             €300.000

Totaal vermogen:       €1.200.000   De current ratio is 1,5

De quick ratio is 1   Hoe hoog is de voorraad?     De voorraad is: 

Solution

We can determine the voorraad (inventory) using the current ratio and the quick ratio formulas.

Definitions:

  1. Current ratio: Current assetsCurrent liabilities=1.5\frac{\text{Current assets}}{\text{Current liabilities}} = 1.5
  2. Quick ratio: Current assetsInventoryCurrent liabilities=1\frac{\text{Current assets} - \text{Inventory}}{\text{Current liabilities}} = 1
  3. Total assets: Vaste activa+Current assets=1.200.000\text{Vaste activa} + \text{Current assets} = 1.200.000

From this, we know:

  • Vaste activa = €300,000
  • Total assets = €1,200,000
  • Current assets = Total assets - Vaste activa Current assets=1.200.000300.000=900.000 euro\text{Current assets} = 1.200.000 - 300.000 = 900.000 \text{ euro}

Step 1: Current liabilities

From the current ratio: Current assetsCurrent liabilities=1.5\frac{\text{Current assets}}{\text{Current liabilities}} = 1.5 900.000Current liabilities=1.5\frac{900.000}{\text{Current liabilities}} = 1.5 Solving for current liabilities: Current liabilities=900.0001.5=600.000 euro\text{Current liabilities} = \frac{900.000}{1.5} = 600.000 \text{ euro}

Step 2: Calculate the inventory

Using the quick ratio: Current assetsInventoryCurrent liabilities=1\frac{\text{Current assets} - \text{Inventory}}{\text{Current liabilities}} = 1 Substitute the known values: 900.000Inventory600.000=1\frac{900.000 - \text{Inventory}}{600.000} = 1 Solving for inventory: 900.000Inventory=600.000900.000 - \text{Inventory} = 600.000 Inventory=900.000600.000=300.000 euro\text{Inventory} = 900.000 - 600.000 = 300.000 \text{ euro}

Conclusion:

The voorraad (inventory) is €300,000.

Would you like further details or have any questions? Here are 5 related questions to explore:

  1. How would the inventory change if the quick ratio were less than 1?
  2. What impact does the inventory level have on a company’s liquidity ratios?
  3. How are current liabilities calculated from the current ratio?
  4. How would fixed assets affect the balance sheet if they increased?
  5. How does a higher quick ratio reflect a company's financial health?

Tip: The quick ratio is more conservative than the current ratio, as it excludes inventory, which may not always be liquid.

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Math Problem Analysis

Mathematical Concepts

Algebra
Financial Ratios
Balance Sheet Calculations

Formulas

Current ratio: Current assets / Current liabilities = 1.5
Quick ratio: (Current assets - Inventory) / Current liabilities = 1
Total assets = Vaste activa + Current assets

Theorems

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Suitable Grade Level

Grades 10-12 (Financial Mathematics)