Question Details

X Ltd., has a current ratio of 3:1 and quick ratio of 2:1. If excess of current assets over quick assets, represented by inventories is Rs. 5,000, calculate current assets and quick assets.

Options

A

Rs. 15000; Rs. 10000

B

Rs. 15000: Rs. 14000

C

Rs. 10,000; Rs. 15000

D

Rs. 15000; Rs. 18000

Show Answer

Correct Answer :

Option A

Rs. 15000; Rs. 10000

Solution :

The correct option is Rs. 15000; Rs. 10000.

Let us break down the solution step-by-step using the given information:

1. Understanding the Ratios:
The Current Ratio is given as 3:1. The formula for the Current Ratio is:
Current Ratio = Current Assets (CA) Current Liabilities (CL)
Therefore, we can write:
CA = 3 × CL
Let this be Equation (1).

2. Understanding the Quick Ratio:
The Quick Ratio is given as 2:1. The formula for the Quick Ratio is:
Quick Ratio = Quick Assets (QA) Current Liabilities (CL)
Therefore, we can write:
QA = 2 × CL
Let this be Equation (2).

3. Using the Inventory Information:
The problem states that the excess of current assets over quick assets is represented by inventories, which is Rs. 5,000.
Mathematically:
Inventories = CA QA
Substituting the value of Inventories:
5,000 = CA QA
Let this be Equation (3).

4. Solving for Current Liabilities (CL):
Substitute Equation (1) and Equation (2) into Equation (3):
5,000 = 3 CL 2 CL
Simplifying this gives:
CL = Rs. 5,000

5. Calculating Current Assets (CA) and Quick Assets (QA):
Now, substitute the value of CL back into Equations (1) and (2):
For Current Assets:
CA = 3 × 5,000 = Rs. 15,000
For Quick Assets:
QA = 2 × 5,000 = Rs. 10,000

Thus, the Current Assets are Rs. 15,000 and the Quick Assets are Rs. 10,000.

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