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Numerical Questions · Q4

Q.Shine Limited has a current ratio 4.5:1 and quick ratio 3:1; if the inventory is ₹36,000, calculate Current Liabilities and Current Assets.

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Current Assets = ₹1,08,000 and Current Liabilities = ₹24,000, derived from the given ratios and inventory figure.

Concept and Treatment

The question tests your understanding of Liquidity Ratios — specifically the relationship between Current Ratio, Quick Ratio, and Inventory. The key insight is that Inventory is the only difference between Current Assets and Quick Assets.

Current Ratio = Current Assets / Current Liabilities = 4.5 : 1

Quick Ratio = Quick Assets / Current Liabilities = 3 : 1

Quick Assets = Current Assets – Inventory (since inventory is the least liquid current asset and is excluded from quick assets).

Given Inventory = ₹36,000, we can set up two equations:

Let Current Liabilities = x.

Then Current Assets = 4.5x (from current ratio).

Quick Assets = 3x (from quick ratio).

Since Quick Assets = Current Assets – Inventory:

3x = 4.5x – 36,000

Solving: 1.5x = 36,000 → x = 24,000.

Therefore:

Current Liabilities = ₹24,000

Current Assets = 4.5 × 24,000 = ₹1,08,000

Watch out

A common mistake is to treat the ratios as absolute numbers rather than proportions. Remember: a ratio of 4.5:1 means Current Assets are 4.5 times Current Liabilities, not that Current Assets are ₹4.5 and Liabilities ₹1.

Tip

You can also solve by noticing that the difference between the two ratios (4.5 – 3 = 1.5) represents the proportion of inventory relative to Current Liabilities. So 1.5 × CL = Inventory = 36,000 → CL = 24,000.

Working Notes

Working Note 1: Calculation of Current Liabilities

Let Current Liabilities = CL …

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