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Numerical Questions · Q3

Q.Current Ratio is 3.5:1. Working Capital is ₹90,000. Calculate the amount of Current Assets and Current Liabilities.

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✓ Free question

Current Assets = ₹1,26,000 and Current Liabilities = ₹36,000, derived from the given Current Ratio of 3.5:1 and Working Capital of ₹90,000.

The core idea here is that the Current Ratio and Working Capital are two different ways of expressing the same relationship between Current Assets (CA) and Current Liabilities (CL). The Current Ratio tells us the proportion (CA : CL = 3.5 : 1), while Working Capital tells us the absolute difference (CA – CL = ₹90,000). To find the individual amounts, we need to solve these two equations simultaneously.

Think of it this way: if Current Liabilities are one unit, then Current Assets are 3.5 units. The difference between them (3.5 units – 1 unit = 2.5 units) equals the Working Capital of ₹90,000. Once we know the value of one unit, we can multiply to find both CA and CL.

Watch out

A common mistake is to directly divide Working Capital by the Current Ratio. That gives a meaningless figure. You must first find the value of one unit by dividing Working Capital by the difference in the ratio's units.

Let’s set up the equations:

Let Current Liabilities = x.

Then, Current Assets = 3.5x (because the ratio is 3.5:1).

Working Capital = Current Assets – Current Liabilities

₹90,000 = 3.5x – x

₹90,000 = 2.5x

Now, solve for x (Current Liabilities):

x = ₹90,000 / 2.5

x = ₹36,000

Therefore, Current Liabilities = ₹36,000.

Now, find Current Assets:

Current Assets = 3.5 × ₹36,000 = ₹1,26,000.

Tip

You can verify your answer instantly: Working Capital should be ₹1,26,000 – ₹36,000 = ₹90,000, and the ratio should be 1,26,000 : 36,000 = 3.5 : 1. Both conditions are satisfied.

Working Note:

ParticularsCalculationAmount (₹)
1. Value of one ratio unitWorking Capital / (Ratio difference) = 90,000 / (3.5 – 1) = 90,000 / 2.536,000
2. Current Liabilities1 unit × 36,00036,000
3. Current Assets3.5 units × 36,0001,26,000
✓Final answer

Current Assets are ₹1,26,000 and Current Liabilities are ₹36,000.

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