Math Problem Statement

From the following evaluate: i. Current ratio ii. Quick ratio iii. Absolute liquid ratio Stock in Trade: ₹1,00,000 Creditors: ₹60,000 B/P: ₹10,000 Cash in Hand: ₹40,000 Prepaid Expenses: ₹5,000 B/R: ₹45,000

Solution

To evaluate the three ratios — Current Ratio, Quick Ratio, and Absolute Liquid Ratio — we first need to classify the given data into current assets and current liabilities:

Provided data:

  1. Stock in Trade: ₹1,00,000
  2. Creditors: ₹60,000
  3. Bills Payable (B/P): ₹10,000
  4. Cash in Hand: ₹40,000
  5. Prepaid Expenses: ₹5,000
  6. Bills Receivable (B/R): ₹45,000

Step 1: Categorize the items:

Current Assets:

  • Stock in Trade: ₹1,00,000
  • Bills Receivable: ₹45,000
  • Cash in Hand: ₹40,000
  • Prepaid Expenses: ₹5,000

Total Current Assets = ₹1,00,000 + ₹45,000 + ₹40,000 + ₹5,000 = ₹1,90,000

Current Liabilities:

  • Creditors: ₹60,000
  • Bills Payable (B/P): ₹10,000

Total Current Liabilities = ₹60,000 + ₹10,000 = ₹70,000


Step 2: Calculate the Ratios:

i. Current Ratio:

Current Ratio=Total Current AssetsTotal Current Liabilities\text{Current Ratio} = \frac{\text{Total Current Assets}}{\text{Total Current Liabilities}} Current Ratio=1,90,00070,000=2.71:1\text{Current Ratio} = \frac{1,90,000}{70,000} = 2.71 : 1

ii. Quick Ratio:

Quick Assets=Current AssetsStock in TradePrepaid Expenses\text{Quick Assets} = \text{Current Assets} - \text{Stock in Trade} - \text{Prepaid Expenses} Quick Assets=1,90,0001,00,0005,000=85,000\text{Quick Assets} = 1,90,000 - 1,00,000 - 5,000 = 85,000 Quick Ratio=Quick AssetsCurrent Liabilities\text{Quick Ratio} = \frac{\text{Quick Assets}}{\text{Current Liabilities}} Quick Ratio=85,00070,000=1.21:1\text{Quick Ratio} = \frac{85,000}{70,000} = 1.21 : 1

iii. Absolute Liquid Ratio:

Absolute Liquid Assets=Cash in Hand+Bills Receivable\text{Absolute Liquid Assets} = \text{Cash in Hand} + \text{Bills Receivable} Absolute Liquid Assets=40,000+45,000=85,000\text{Absolute Liquid Assets} = 40,000 + 45,000 = 85,000 Absolute Liquid Ratio=Absolute Liquid AssetsCurrent Liabilities\text{Absolute Liquid Ratio} = \frac{\text{Absolute Liquid Assets}}{\text{Current Liabilities}} Absolute Liquid Ratio=85,00070,000=1.21:1\text{Absolute Liquid Ratio} = \frac{85,000}{70,000} = 1.21 : 1


Final Results:

  1. Current Ratio: 2.71 : 1
  2. Quick Ratio: 1.21 : 1
  3. Absolute Liquid Ratio: 1.21 : 1

Do you want more details on these calculations or concepts?
Here are some related questions to explore further:

  1. What is the significance of each ratio in evaluating a company’s liquidity?
  2. How does excluding stock improve the accuracy of the quick ratio?
  3. What industries benefit from a higher absolute liquid ratio?
  4. What are potential risks of having very high current ratios?
  5. How can prepaid expenses distort liquidity measurements?

Tip: Ensure the data for liabilities and assets is accurate and complete, as errors can distort the ratios significantly!

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Math Problem Analysis

Mathematical Concepts

Financial Ratios
Current Ratio
Quick Ratio
Absolute Liquid Ratio

Formulas

Current Ratio = Total Current Assets / Total Current Liabilities
Quick Ratio = (Current Assets - Stock in Trade - Prepaid Expenses) / Current Liabilities
Absolute Liquid Ratio = (Cash in Hand + Bills Receivable) / Current Liabilities

Theorems

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Suitable Grade Level

Undergraduate (Finance/Accounting)