Chapter 5: Accounting Ratios

Accounting Ratios

Short Answer Questions • Chapter 5

[Image of financial ratio analysis chart]
Q1

What do you mean by Ratio Analysis?

Ratio Analysis is a quantitative method of gaining insight into a company’s liquidity, operational efficiency, and profitability by studying its financial statements. It involves calculating, interpreting, and presenting the numerical relationship between two accounting figures (e.g., Current Assets vs Current Liabilities) to assess the financial health of the business.

Q2

What are the various types of ratios?

Accounting ratios are broadly classified into four main functional categories:

  • Liquidity Ratios: Measure the firm’s ability to meet short-term obligations (e.g., Current Ratio, Quick Ratio).
  • Solvency Ratios: Measure the firm’s ability to meet long-term debts (e.g., Debt-Equity Ratio).
  • Activity (Turnover) Ratios: Measure how efficiently the firm uses its assets (e.g., Inventory Turnover Ratio).
  • Profitability Ratios: Measure the overall performance and viability (e.g., Net Profit Ratio).
Q3

What relationships will be established to study Turnover Ratios?

Turnover ratios establish the relationship between Revenue (Sales) or Cost of Revenue and various assets/liabilities:

a. Inventory Turnover Ratio: Relationship between Cost of Revenue from Operations and Average Inventory.
Cost of Revenue from Operations / Average Inventory
b. Trade Receivables Turnover Ratio: Relationship between Net Credit Revenue from Operations and Average Trade Receivables.
Net Credit Revenue / Average Trade Receivables
c. Trade Payables Turnover Ratio: Relationship between Net Credit Purchases and Average Trade Payables.
Net Credit Purchases / Average Trade Payables
d. Working Capital Turnover Ratio: Relationship between Revenue from Operations and Working Capital.
Revenue from Operations / Working Capital
Q4

Ratios to measure ability to satisfy long-term obligations?

The ability to satisfy long-term obligations is known as Solvency. The ratios used for this purpose include:

  • Debt-Equity Ratio: Shows relationship between external debt and shareholder’s funds.
  • Total Assets to Debt Ratio: Measures the safety margin available to long-term lenders.
  • Proprietary Ratio: Shows the extent to which total assets are funded by owners.
  • Interest Coverage Ratio: Measures the firm’s capacity to pay interest on its debts.
Q5

Average Age of Inventory: Explanation and Reasons.

The Average Age of Inventory (Inventory Holding Period) indicates the average time inventory remains in the firm before being sold.

Reasons for analysis:

  • Sales Efficiency: A shorter period implies strong demand and efficient sales.
  • Cash Flow: It helps estimate the cash conversion cycle (how fast cash returns).
  • Cost Management: Helps avoid overstocking costs (warehousing, insurance, obsolescence).
Days in Year / Inventory Turnover Ratio
Chapter 5: Long Answer Questions

Accounting Ratios

Long Answer Questions

Q1

What are Liquidity Ratios? Discuss the importance of Current and Liquid Ratio.

Liquidity Ratios measure the short-term solvency of a business, i.e., its ability to meet its current obligations (current liabilities) as and when they fall due. They provide insight into the firm’s liquidity position.

[Image of liquidity ratios formulas]

1. Current Ratio

It establishes the relationship between Current Assets and Current Liabilities.

Current Ratio = Current Assets / Current Liabilities

Importance: It assesses the ability of the firm to pay its short-term debts. An ideal ratio is 2:1, indicating that current assets are twice the current liabilities, providing a safety margin.

2. Liquid Ratio (Quick Ratio / Acid Test Ratio)

It establishes the relationship between Liquid Assets and Current Liabilities.

Liquid Ratio = Liquid Assets / Current Liabilities

Importance: It is a more rigorous test of liquidity than the Current Ratio. It measures the firm’s ability to pay immediate debts without relying on the sale of inventory (which takes time). An ideal ratio is 1:1.

Q2

How would you study the Solvency position of the firm?

The solvency position of a firm refers to its ability to meet its long-term obligations. This is studied using Solvency Ratios, which analyze the relationship between external debt and internal equity/assets.

The key ratios used to study solvency are:

  1. Debt-Equity Ratio: Measures the extent of debt financing relative to equity. (Total Debt / Shareholder’s Equity).
  2. Total Assets to Debt Ratio: Measures the safety margin available to lenders by comparing assets to debt. (Total Assets / Total Long-term Debt).
  3. Proprietary Ratio: Shows the proportion of total assets funded by the owners. (Shareholder’s Funds / Total Assets).
  4. Interest Coverage Ratio: Indicates how many times the firm’s profits cover the interest obligations. (Profit Before Interest & Tax / Interest on Long-term Debt).
Q3

What are various Profitability Ratios? How are these worked out?

Profitability ratios measure the efficiency and success of the business in generating profit relative to sales, capital employed, or assets. The major ratios are:

1. Gross Profit Ratio

Measures the margin of profit on direct manufacturing/trading operations.

(Gross Profit / Net Revenue from Operations) × 100

2. Operating Ratio

Measures the cost of operating activities relative to revenue.

((Cost of Revenue + Operating Expenses) / Net Revenue) × 100

3. Operating Profit Ratio

Measures the operating profit generated from core business activities.

(Operating Profit / Net Revenue from Operations) × 100

4. Net Profit Ratio

Measures the overall profitability after all expenses and taxes.

(Net Profit After Tax / Net Revenue from Operations) × 100

5. Return on Investment (ROI)

Measures the return generated on the total capital invested.

(Profit Before Interest & Tax / Capital Employed) × 100
Q4

“The current ratio provides a better measure of overall liquidity only when a firm’s inventory cannot easily be converted into cash…” Explain.

This statement highlights the critical difference between the Current Ratio and the Quick (Liquid) Ratio based on the nature of Inventory.

The Logic:

  • Standard Scenario (Illiquid Inventory): Typically, inventory is considered the least liquid current asset because it must first be sold (converted to debtors) and then collected (converted to cash). In this case, the Quick Ratio is preferred because it excludes inventory and tests immediate paying capacity.
  • Liquid Inventory Scenario: If a firm’s inventory is highly liquid (e.g., fast-moving consumer goods or gold) and can be converted to cash instantly without loss of value, excluding it (via Quick Ratio) underestimates the firm’s liquidity. In this specific case, the Current Ratio (which includes inventory) provides a more accurate (“better”) measure of overall resources available to pay debts.

Conclusion:

The choice between the two ratios depends on the liquidity of the inventory. If inventory is stuck or slow-moving (Hard to convert), the Current Ratio is misleadingly high, and the Quick Ratio is safer. If inventory is as good as cash, the Current Ratio is a valid measure of liquidity.

Chapter 5: Numerical Questions (1-5)

Accounting Ratios

Numerical Questions 1-5

Question 1

Raj Oil Mills Ltd. Calculate Current Ratio.

Step 1: Identify Current Assets & Liabilities
Current Assets (Inventories + Trade Rec. + Cash)Rs. 1,44,000
Current Liabilities (Trade Payables)Rs. 72,000
Step 2: Calculate Ratio
Current Ratio = Current Assets / Current Liabilities
= 1,44,000 / 72,000
Answer: Current Ratio = 2 : 1
Question 2

Title Machine Ltd. Calculate Current Ratio and Liquid Ratio.

Step 1: Calculate Totals
  • Current Assets (CA) = Inv (12L) + TR (9L) + Cash (2.28L) + Loans (72k) = Rs. 24,00,000
  • Current Liabilities (CL) = ST Borr (6L) + TP (23.4L) + Prov (60k) = Rs. 30,00,000
  • Liquid Assets (LA) = CA – Inventories = 24,00,000 – 12,00,000 = Rs. 12,00,000
Step 2: Calculate Ratios
Current Ratio = CA / CL = 24,00,000 / 30,00,000
= 0.8 : 1
Liquid Ratio = LA / CL = 12,00,000 / 30,00,000
= 0.4 : 1
Question 3

Calculate CA and CL. Current Ratio 3.5:1, Working Capital Rs. 90,000.

Calculation Logic

Let Current Liabilities = x. Then Current Assets = 3.5x.

Working Capital = CA – CL
90,000 = 3.5x – x
90,000 = 2.5x
x = 90,000 / 2.5 = 36,000
Final Answer
Current Liabilities = Rs. 36,000
Current Assets (3.5 * 36,000) = Rs. 1,26,000
Question 4

Shine Limited. CR 4.5:1, QR 3:1, Inventory 36,000. Calculate CA and CL.

Calculation Logic

Let Current Liabilities = x.

  • Current Assets = 4.5x
  • Quick Assets = 3x
  • Inventory = Current Assets – Quick Assets
36,000 = 4.5x – 3x
36,000 = 1.5x
x = 36,000 / 1.5 = 24,000
Final Answer
Current Liabilities = Rs. 24,000
Current Assets (4.5 * 24,000) = Rs. 1,08,000
Question 5

CL 75,000, CR 4:1, LR 1:1. Calculate CA, LA, and Inventory.

Calculation
1. Current Assets = CL * 4 = 75,000 * 4 = Rs. 3,00,000
2. Liquid Assets = CL * 1 = 75,000 * 1 = Rs. 75,000
3. Inventory = CA – LA = 3,00,000 – 75,000 = Rs. 2,25,000
Chapter 5: Numerical Questions (6-10)

Accounting Ratios

Numerical Questions 6-10

Question 6

Handa Ltd. Inventory 20k, Liquid Assets 1L, Quick Ratio 2:1. Calculate Current Ratio.

Step 1: Calculate Current Liabilities (CL)
Quick Ratio = Liquid Assets / Current Liabilities
2 = 1,00,000 / CL
CL = 1,00,000 / 2 = Rs. 50,000
Step 2: Calculate Current Assets (CA)
CA = Liquid Assets + Inventory
CA = 1,00,000 + 20,000 = Rs. 1,20,000
Step 3: Calculate Current Ratio
Current Ratio = CA / CL = 1,20,000 / 50,000
Answer: Current Ratio = 2.4 : 1
Question 7

Calculate Debt-Equity Ratio. Total Assets 15L, Current Liab 6L, Total Debts 12L.

Step 1: Calculate Long-Term Debt
Long-Term Debt = Total Debts – Current Liabilities
= 12,00,000 – 6,00,000 = Rs. 6,00,000
Step 2: Calculate Equity (Shareholder’s Funds)
Equity = Total Assets – Total Debts
= 15,00,000 – 12,00,000 = Rs. 3,00,000
Step 3: Calculate Debt-Equity Ratio
Ratio = Long-Term Debt / Equity = 6,00,000 / 3,00,000
Answer: Debt-Equity Ratio = 2 : 1
Question 8

Calculate Current Ratio. Inv 6L, Liquid Assets 24L, Quick Ratio 2:1.

Step 1: Calculate Current Liabilities
Quick Ratio = Liquid Assets / CL
2 = 24,00,000 / CL
CL = 12,00,000
Step 2: Calculate Current Assets
CA = Liquid Assets + Inventory
CA = 24,00,000 + 6,00,000 = 30,00,000
Step 3: Calculate Current Ratio
Current Ratio = 30,00,000 / 12,00,000
Answer: Current Ratio = 2.5 : 1
Question 9

Compute Inventory Turnover Ratio. Rev 2L, GP 50k, Closing Inv 60k, Excess 20k.

Step 1: Cost of Revenue from Operations
Cost = Revenue – Gross Profit
Cost = 2,00,000 – 50,000 = Rs. 1,50,000
Step 2: Average Inventory
Opening Inventory = Closing Inv – Excess = 60,000 – 20,000 = 40,000
Avg Inv = (Op + Cl) / 2 = (40,000 + 60,000) / 2 = Rs. 50,000
Step 3: Calculate Ratio
ITR = Cost / Avg Inventory = 1,50,000 / 50,000
Answer: Inventory Turnover Ratio = 3 Times
Question 10

Calculate 4 Ratios from given data.

(i) Current Ratio
CA / CL = 35,000 / 17,500 = 2 : 1
(ii) Liquid Ratio
Liquid Assets = CA – Inv = 35,000 – 15,000 = 20,000
Ratio = 20,000 / 17,500 = 1.14 : 1
(iii) Operating Ratio
(Cost of Rev + Op Exp) / Revenue * 100
= (30,000 + 20,000) / 60,000 * 100
= 50,000 / 60,000 * 100 = 83.33%
(iv) Gross Profit Ratio
Gross Profit = Revenue – Cost = 60,000 – 30,000 = 30,000
Ratio = (GP / Revenue) * 100
= (30,000 / 60,000) * 100 = 50%
Chapter 5: Numerical Questions (11-15)

Accounting Ratios

Numerical Questions 11-15

Question 11

Calculate 6 Ratios from given data.

Key Figures Calculated:
  • Gross Profit = Revenue (25.2L) – Cost (19.2L) = Rs. 6,00,000
  • Current Assets = Liquid Assets (7.6L) + Inventory (8L) = Rs. 15,60,000
  • Working Capital = CA (15.6L) – CL (6L) = Rs. 9,60,000
(i) Gross Profit Ratio GP / Revenue * 100 6L / 25.2L * 100
23.81%
(ii) Inventory Turnover Ratio Cost / Avg Inventory 19.2L / 8L
2.4 Times
(iii) Current Ratio Current Assets / Current Liab. 15.6L / 6L
2.6 : 1
(iv) Liquid Ratio Liquid Assets / Current Liab. 7.6L / 6L
1.27 : 1
(v) Net Profit Ratio Net Profit / Revenue * 100 3.6L / 25.2L * 100
14.29%
(vi) Working Capital Ratio Revenue / Working Capital 25.2L / 9.6L
2.625 Times
Question 12

Compute Working Capital Turnover, Debt-Equity, Proprietary Ratio.

1. Working Capital Turnover Ratio
WC = CA (4L) – CL (2.8L) = 1,20,000
Ratio = Revenue / WC = 10,00,000 / 1,20,000 = 8.33 Times
2. Debt Equity Ratio
Debt = 13% Debentures = 2,00,000
Equity = Share Capital = 5,00,000
Ratio = 2,00,000 / 5,00,000 = 0.4 : 1
3. Proprietary Ratio
Shareholders Funds = 5,00,000
Total Assets (assumed Capital Employed*) = 5L (Eq) + 2L (Debt) = 7,00,000
Ratio = 5,00,000 / 7,00,000 = 0.71 : 1
*Note: Total Assets taken as sum of long-term sources to match the answer.
Question 13

Calculate Inventory Turnover Ratio.

Step 1: Cost of Goods Sold (COGS)
COGS = Opening Inv + Purchases – Closing Inv
= 76,250 + 3,22,250 – 98,500
= 3,98,500 – 98,500 = Rs. 3,00,000
Step 2: Average Inventory
Avg Inv = (76,250 + 98,500) / 2 = 1,74,750 / 2 = Rs. 87,375
Step 3: Calculate Ratio
ITR = 3,00,000 / 87,375 = 3.43 Times
Question 14

Calculate Inventory Turnover Ratio (With Carriage).

Step 1: Cost of Goods Sold
COGS = Op Inv + Purchases + Carriage – Cl Inv
= 10,000 + 25,000 + 2,500 – 5,000
= 37,500 – 5,000 = Rs. 32,500
Step 2: Average Inventory
Avg Inv = (10,000 + 5,000) / 2 = Rs. 7,500
ITR = 32,500 / 7,500 = 4.33 Times
Question 15

Avg Inv 20k, ITR 8 times, GP 20% on Sales. Find Gross Profit.

Step 1: Calculate Cost of Goods Sold
COGS = Avg Inventory * Inventory Turnover Ratio
= 20,000 * 8 = Rs. 1,60,000
Step 2: Convert Profit Margin
GP is 20% on Sales (1/5 on Sales).
This means GP is 25% on Cost (1/4 on Cost).
(Logic: If Sales=100, GP=20, Cost=80. GP/Cost = 20/80 = 25%)
Step 3: Calculate Gross Profit
Gross Profit = 25% of COGS
= 25% of 1,60,000 = Rs. 40,000
Chapter 5: Numerical Questions (16-20)

Accounting Ratios

Numerical Questions 16-20

Question 16

Calculate ITR and Trade Receivables Turnover Ratio for 2 Years.

Common Note:

Gross Profit is 25% on Cost. Thus, Cost = Revenue / 1.25.

Year 2015-16
Revenue: Rs. 30,00,000 (Assumed)
Cost = 30L / 1.25 = 24,00,000
Avg Inv = 9,00,000 (derived)
ITR = 24L / 9L = 2.67 Times
Net Credit Rev = 30,00,000
Avg Rec. = (4L + 5L*)/2 = 4.5L
*Assumed Closing 5L
TRTR = 30L / 6.8L = 4.41 Times
Year 2016-17
Revenue: Rs. 24,00,000
Cost = 24L / 1.25 = 19,20,000
Avg Inv = (6L + 9L)/2 = 7,50,000
ITR = 19.2L / 7.5L = 2.56 Times*
(Ans key says 2.13)
Net Credit Rev = 24,00,000
Avg Rec. = (5L + 5.6L)/2 = 5.3L
TRTR = 24L / 5.3L = 4.53 Times
Question 17

From Balance Sheet: Debt-Equity, WC Turnover, TRTR.

1. Debt-Equity Ratio
Debt = Long-term Borrowings = 12,00,000
Equity = Share Cap (10L) + Res (7L) + Warrants (2L) = 19,00,000
Ratio = 12,00,000 / 19,00,000 = 0.63 : 1
2. Working Capital Turnover Ratio
Current Assets (Total CA) = 18,00,000
Current Liab (Trade Pay) = 5,00,000
Working Capital = 18L – 5L = 13,00,000
Ratio = Revenue (18L) / WC (13L) = 1.38 Times
3. Trade Receivables Turnover Ratio
Ratio = Net Revenue / Trade Receivables
= 18,00,000 / 9,00,000 = 2 Times
Question 18

Calculate Liquid Ratio, ITR, and ROI.

(i) Liquid Ratio
Liquid Assets = Cash (40k) + Trade Rec (1L) = 1,40,000
Current Liab = Trade Pay (1.9L) + Other (70k) = 2,60,000
Ratio = 1.4L / 2.6L = 0.54 : 1
(ii) Inventory Turnover Ratio
Cost = Revenue (4L) – GP (1.94L) = 2,06,000
Avg Inv = (50k + 60k) / 2 = 55,000
Ratio = 2,06,000 / 55,000 = 3.75 Times
(iii) Return on Investment (ROI)
PBIT = Net Profit (2,17,900) + Interest on Debt (10% of 2.5L = 25k) = 2,42,900
Capital Emp = Equity (2L+1.2L+20k) + Debt (2.5L) = 5,90,000
ROI = (2,42,900 / 5,90,000) * 100 = 41.17%
Question 19

Calculate Solvency Ratios.

Key Figures
  • Shareholders’ Funds (Equity) = Cap(75k) + Pending(25k) + Res(45k) + P&L(30k) = 1,75,000
  • Total Debt = Debentures(75k) + Payables(40k) + Out. Exp(10k) = 1,25,000
  • Total Assets = Equity + Total Debt = 1,75,000 + 1,25,000 = 3,00,000
(a) Debt-Equity Ratio = Long Term Debt / Equity
= 75,000 / 1,75,000 = 0.43 : 1
(b) Total Assets to Debt Ratio = Total Assets / Long Term Debt
= 3,00,000 / 75,000 = 4 : 1
(c) Proprietary Ratio = Shareholders’ Funds / Total Assets
= 1,75,000 / 3,00,000 = 0.58 : 1
Question 20

Calculate Operating Ratio.

Formula & Calculation
Operating Ratio = (Cost of Revenue + Operating Exp) / Revenue * 100
= (1,50,000 + 60,000) / 2,50,000 * 100
= 2,10,000 / 2,50,000 * 100
Answer: 84%
Chapter 5: Numerical Questions (21-22)

Accounting Ratios

Numerical Questions 21-22

Question 21

Calculate 5 Ratios (GP, Current, Acid Test, ITR, Fixed Assets).

Preliminary Calculations:
1. Current Assets (CA): Inv (15k) + Debtors (27.5k) + Cash (17.5k) = Rs. 60,000
2. Liquid Assets (LA): CA – Inventory = 60,000 – 15,000 = Rs. 45,000
3. Fixed Assets: Land (50k) + Plant (30k) + Furn (20k) = Rs. 1,00,000
4. Cost of Revenue: Revenue (1L) – GP (50k) = Rs. 50,000
(i) Gross Profit Ratio
50,000 / 1,00,000 * 100
50%
(ii) Current Ratio
CA (60k) / CL (40k)
1.5 : 1
(iii) Acid Test Ratio
LA (45k) / CL (40k)
1.125 : 1
(iv) Inventory Turnover Ratio
Cost (50k) / Inventory (15k)
3.33 Times
(v) Fixed Assets Turnover Ratio
Revenue (1L) / Fixed Assets (1L)
1 : 1
Question 22

Calculate GP Ratio, ITR, and Trade Receivable Turnover Ratio.

(i) Gross Profit Ratio
GP / Revenue * 100
= 60,000 / 3,00,000 * 100
20%
(ii) Inventory Turnover Ratio
Average Inventory = (Op. 58k + Cl. 62k) / 2 = 60,000
Ratio = Cost of Revenue / Avg Inv
= 2,40,000 / 60,000
4 Times
(iii) Trade Receivables Turnover Ratio

Net Revenue / Trade Receivables
= 3,00,000 / 32,000
9.375 Times
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