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.
You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.
Start your 14-day free trial to unlock the full solution →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
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.
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 …
Unlock everything free for 14 days
- Full step-by-step solutions
- Concept-first explanations
- Methods, shortcuts & mistakes
- PYQ mapping + timed mock tests
Full access for 14 days. No credit card required.