Numerical Problems - 1.8.4 | ICSE Class 12 Accounts – Chapter 5: Ratio Analysis | ICSE Class 12 Accounts
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Interactive Audio Lesson

Listen to a student-teacher conversation explaining the topic in a relatable way.

Understanding Financial Ratios

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0:00
Teacher
Teacher

Today, we're going to explore the importance of financial ratios in assessing a business's health. Why do you think ratios are useful?

Student 1
Student 1

They help compare a company's performance over time, right?

Teacher
Teacher

Exactly! Ratios simplify complex numbers for us. Now, can anyone tell me the formula for the Current Ratio?

Student 2
Student 2

It's Current Assets divided by Current Liabilities.

Teacher
Teacher

Correct! The ideal ratio is often 2:1, indicating good short-term financial health. Remember, 'Current over Current equals Confidence in Cash!'

Student 3
Student 3

What about the Quick Ratio?

Teacher
Teacher

Great question! The Quick Ratio tells us how well a company can pay off its short-term obligations without selling off inventory. Who can share the formula?

Student 4
Student 4

It's Quick Assets divided by Current Liabilities!

Teacher
Teacher

That's right! 'Quick over Current gives a Fast for Financial's Concern.' Very well done! Now, let's summarize today’s key points about liquidity ratios.

Calculating Numerical Problems

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0:00
Teacher
Teacher

Now let's apply the concepts. We will calculate the Current Ratio and Quick Ratio using some example data. Who would like to do the first calculation?

Student 1
Student 1

I can try! If we have Current Assets of ₹1,00,000 and Current Liabilities of ₹50,000, then the Current Ratio would be ₹1,00,000 divided by ₹50,000.

Teacher
Teacher

Correct! So what does that give us?

Student 1
Student 1

That gives us a Current Ratio of 2:1, which is ideal!

Teacher
Teacher

Exactly! Now, how about the Quick Ratio? We know we need to calculate Quick Assets first. Can anyone tell me how we do that?

Student 2
Student 2

We subtract Inventory and Prepaid Expenses from Current Assets.

Teacher
Teacher

Right! So with Current Assets of ₹1,00,000, Inventory of ₹20,000, and Prepaid Expenses of ₹5,000, what's the Quick Assets?

Student 3
Student 3

That would be ₹1,00,000 minus ₹20,000 minus ₹5,000, which equals ₹75,000!

Teacher
Teacher

Perfect! And what’s our Quick Ratio now?

Student 4
Student 4

It’s ₹75,000 divided by ₹50,000, which is 1.5!

Teacher
Teacher

Well done, everyone! Remember, these ratios are crucial for assessing liquidity. Let's summarize the steps for calculating these ratios.

Profitability Ratios

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0:00
Teacher
Teacher

Now, let’s shift to profitability ratios, starting with Earnings per Share, or EPS. Does anyone remember the formula?

Student 1
Student 1

It's Net Profit after Tax minus Preference Dividend, divided by the number of Equity Shares.

Teacher
Teacher

Exactly! EPS gives us a glimpse of how much profit is allocated to each share. What do we need to calculate it from the following data: Net Profit after Tax of ₹2,00,000, Preference Dividend of ₹20,000, and 36,000 Equity Shares?

Student 3
Student 3

We subtract the Preference Dividend from Net Profit first, then divide by the number of shares!

Teacher
Teacher

Spot on! So can someone calculate it?

Student 4
Student 4

That’s ₹2,00,000 minus ₹20,000, which is ₹1,80,000, divided by 36,000 shares equals ₹5 per share!

Teacher
Teacher

Excellent work! And why is EPS significant?

Student 2
Student 2

It helps investors understand how profitable the company is per share!

Teacher
Teacher

Correct! Remember, 'Earnings means Equity keeps Everyone Excited!' Let’s summarize the key points about profitability ratios.

Introduction & Overview

Read a summary of the section's main ideas. Choose from Basic, Medium, or Detailed.

Quick Overview

This section focuses on practical numerical problems related to ratio analysis, requiring students to apply formulas to calculate various financial ratios.

Standard

In this section, students will solve numerical problems to calculate vital financial ratios such as the Current Ratio, Quick Ratio, Return on Capital Employed, and Earnings per Share. These exercises reinforce the understanding of ratio analysis as a tool for evaluating a company's financial health.

Detailed

Numerical Problems

In this section, we dive into practical applications of ratio analysis through numerical problems. Students will engage in calculations that reinforce their comprehension of key ratios used in financial evaluation. The ratios covered in the problems are:

  • Current Ratio: A measure of a company's ability to pay short-term obligations. The formula for the Current Ratio is:

\[ \text{Current Ratio} = \frac{\text{Current Assets}}{\text{Current Liabilities}} \]

  • Quick Ratio: An indicator of a company's capacity to meet short-term liabilities without relying on the sale of inventory. The formula is:

\[ \text{Quick Ratio} = \frac{\text{Quick Assets}}{\text{Current Liabilities}} \]

Where Quick Assets = Current Assets - Inventory - Prepaid Expenses.

  • Return on Capital Employed: This ratio measures a company's profitability and the efficiency with which its capital is employed:

\[ \text{Return on Capital Employed} = \frac{\text{Net Profit before Interest and Tax}}{\text{Capital Employed}} \times 100 \]

  • Earnings per Share (EPS): Indicates a company's profitability on a per-share basis:

\[ \text{EPS} = \frac{\text{Net Profit after Tax - Preference Dividend}}{\text{Number of Equity Shares}} \]

This hands-on approach will enable students to apply knowledge practically, ensuring a deeper understanding of the financial implications of these ratios in business decision-making.

Audio Book

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Calculating Current Ratio

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  1. From the following data, calculate the Current Ratio and Quick Ratio:
    o Current Assets: ₹1,00,000
    o Inventory: ₹20,000
    o Prepaid Expenses: ₹5,000
    o Current Liabilities: ₹50,000

Detailed Explanation

To calculate the Current Ratio, we need to use the formula:

Current Ratio = Current Assets / Current Liabilities

From the data provided:
- Current Assets = ₹1,00,000
- Current Liabilities = ₹50,000

Plugging in these values:
Current Ratio = ₹1,00,000 / ₹50,000 = 2. This means the company has ₹2 in current assets for every ₹1 of current liabilities, indicating a healthy liquidity position.

Examples & Analogies

Imagine a school with two types of funds: ₹1,00,000 from student fees (current assets) and ₹50,000 due to suppliers (current liabilities). For every ₹1 owed, the school has ₹2 available in fees, suggesting it can easily cover its obligations, similar to how a student can easily pay back a small loan with their allowance.

Calculating Quick Ratio

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  1. (continued) To calculate the Quick Ratio:
    Quick Assets = Current Assets – Inventory – Prepaid Expenses
    Quick Ratio = Quick Assets / Current Liabilities

Where:
Quick Assets = ₹1,00,000 – ₹20,000 – ₹5,000.

Detailed Explanation

To find the Quick Ratio, first we compute the Quick Assets:
Quick Assets = Current Assets - Inventory - Prepaid Expenses = ₹1,00,000 - ₹20,000 - ₹5,000 = ₹75,000.

Now, using the formula:
Quick Ratio = Quick Assets / Current Liabilities = ₹75,000 / ₹50,000 = 1.5. This means the company has ₹1.5 in quick assets for every ₹1 of current liabilities, highlighting its capacity to pay urgent liabilities without selling inventory.

Examples & Analogies

Consider a lemonade stand with ₹1,00,000 in total cash but needs to account for ingredients worth ₹20,000 and advances worth ₹5,000. By determining quick assets as money left after essentials, the owner sees they still have a quick safety net of ₹75,000 to manage immediate bills, similar to how quickly we can use cash instead of waiting for inventory to sell.

Calculating Return on Capital Employed

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  1. Calculate Return on Capital Employed from the following:
    o Net Profit before Interest and Tax: ₹80,000
    o Capital Employed: ₹4,00,000

Detailed Explanation

Return on Capital Employed (ROCE) is calculated using the formula:
ROCE = (Net Profit before Interest and Tax / Capital Employed) × 100.

Using the provided data:
ROCE = (₹80,000 / ₹4,00,000) × 100 = 20%. This indicates that for every ₹100 invested, the company generates ₹20 as profit before interest and tax.

Examples & Analogies

Think of a community garden where people invest ₹4,00,000 in tools, seeds, and labor. If, after selling their produce, they earn ₹80,000 in profit, that means they achieved a 'return' of 20% on their investment, showing that their efforts yielded a healthy benefit, in the same way businesses evaluate profitability.

Calculating Earnings Per Share (EPS)

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  1. Calculate EPS:
    o Net Profit after Tax: ₹2,00,000
    o Preference Dividend: ₹20,000
    o Number of Equity Shares: 36,000

Detailed Explanation

Earnings Per Share (EPS) can be calculated using the formula:
EPS = (Net Profit after Tax - Preference Dividend) / Number of Equity Shares.

Using the values:
EPS = (₹2,00,000 - ₹20,000) / 36,000 = ₹1,80,000 / 36,000 = ₹5. This means each equity shareholder earns ₹5 per share, which reflects the profitability of the company on a per-share basis.

Examples & Analogies

Consider a delicious pizza where a group of friends (shareholders) get to share the profit (slices) after paying a fixed amount to a chef (preference dividend). If they have a pizza worth ₹2,00,000 to slice and the chef takes ₹20,000, they split the rest into 36 slices, enjoying ₹5 worth from each slice, which represents their individual earnings.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Liquidity Ratios: Ratios that measure a company's short-term ability to meet its financial obligations.

  • Profitability Ratios: Ratios that evaluate a business's overall profitability and efficiency.

  • Current Ratio: A critical measure to assess short-term financial health.

  • Quick Ratio: A more stringent test of liquidity by excluding inventory.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • If a company has Current Assets of ₹150,000 and Current Liabilities of ₹75,000, the Current Ratio is 2:1.

  • For a business with Net Profit of ₹1,000,000, Preference Dividend of ₹50,000, and 50,000 shares, EPS would be ₹19 per share.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎵 Rhymes Time

  • When solving for EPS, don't forget the fee, Net Profit minus Preference, then divide with glee!

📖 Fascinating Stories

  • Imagine a cash-strapped business, navigating loans and debts, needing to calculate its Current Ratio to ensure it's never stuck.

🧠 Other Memory Gems

  • To remember the EPS calculation: 'Net minus Preference, over Shares — keep it clear for financial cares!'

🎯 Super Acronyms

C.R. (Current Ratio) = Current A for Assets over Current L for Liabilities — 'C.R. keeps the cash flow steady!'

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Current Ratio

    Definition:

    A liquidity ratio that measures a company's ability to cover its short-term liabilities with its short-term assets.

  • Term: Quick Ratio

    Definition:

    A liquidity ratio that measures a company’s ability to meet its short-term obligations without relying on the sale of inventory.

  • Term: Return on Capital Employed (ROCE)

    Definition:

    A profitability ratio that measures the efficiency of a company in generating profits from its capital employed.

  • Term: Earnings per Share (EPS)

    Definition:

    A financial ratio that represents the portion of a company's profit allocated to each outstanding share of common stock.