GNDU Papers Editorial Team

Three missing Frequency

Three Missing Frequency
Three Missing Frequency,

 

Let the missing frequencies be:
30–40 = a
40–50 = b
50–60 = c

Given:
Total frequency = 150
Median = 48.25
Mode = 44

Step 1: Using Total Frequency

3 + 7 + a + b + c + 20 + 16 + 4 = 150
50 + a + b + c = 150
⇒ a + b + c = 100 …(1)

Step 2: Using Median

Median class = 40–50
l = 40, h = 10
c.f. before median class = 3 + 7 + a = 10 + a
Median formula:
48.25 = 40 + (75 – (10 + a)) / b × 10

Simplifying:
65 – a = 0.825b
⇒ 2600 – 40a = 33b …(2)

Step 3: Using Mode

Modal class = 40–50
Mode formula:
44 = 40 + (b – a) / (2b – a – c) × 10

Simplifying:
b + 2c = 3a
⇒ 5a + b = 200 …(3)

Step 4: Solving Equations

From (3):
b = 200 – 5a

Substitute in (1):
c = 100 – a – b

Substitute values in (2):
2600 – 40a = 33(200 – 5a)
2600 – 40a = 6600 – 165a
125a = 4000
⇒ a = 32

Now,
b = 200 – 5a = 200 – 160 = 40
c = 100 – 32 – 40 = 28

Final Missing Frequencies

30–40 = 32
40–50 = 40
50–60 = 28

Class Interval : Frequency

10–20 : 3

20–30 : 7

30–40 : 32

40–50 : 40

50–60 : 28

60–70 : 20

70–80 : 16

80–90 : 4

Total : 150

If you want to know the Syllabus of Business Statistics, you must visit the official website Gndu.

👉 Note Important questions of Business Statistics.

  1. Functions of Statistics
  2. Missing Frequency

Three Missing Frequency

Three Missing Frequency

Functions of Statistics

Functions of statistics
Functions of statistics

 

1(a) Define Statistics. Discuss the functions of Statistics.

Meaning / Definition of Statistics

Statistics is a branch of study that deals with the collection, classification, presentation, analysis and interpretation of numerical data.
In simple words, statistics helps in converting raw facts into meaningful information for decision-making.

Definition :
“Statistics is the science which deals with the collection, presentation, analysis and interpretation of numerical data.”

Functions of Statistics

1. Collection of Data

Statistics helps in collecting numerical facts through surveys, schedules, questionnaires, and observation.

2. Classification and Organization of Data

After collection, statistics helps in arranging data into classes and groups so that it becomes easy to understand.

3. Presentation of Data

Statistics provides methods like tables, graphs, charts, diagrams, frequency distribution, etc., to present data clearly.

4. Analysis of Data

Statistical tools such as averages, dispersion, correlation, regression, index numbers, etc., help in analyzing the data to draw meaningful conclusions.

5. Interpretation of Data

Statistics helps in interpreting results and making decisions or predictions based on analyzed data. Functions of statistics

6. Forecasting

Statistical techniques help in forecasting future trends (like demand, production, population, sales).

7. Formulation of Policies

Governments, businesses, and institutions use statistical information to make policies and plans. Functions of statistics

8. Comparison

Statistics helps in comparing different sets of data—between groups, years, regions, or sectors.

9. Testing Hypotheses

Statistics helps in testing assumptions and theories with the help of probability and sampling methods.

10. Decision Making

Managers and policy-makers use statistical results to make rational and scientific decisions. Functions of statistics

Conclusion

In conclusion, statistics plays an essential role in simplifying complex numerical facts. It helps in the systematic collection, classification, presentation, analysis, and interpretation of data. Through its various functions, statistics provides a scientific base for understanding information, comparing facts, forecasting trends, and making reliable decisions in business, economics, government, and daily life. Thus, statistics has become an important tool for planning and decision-making in every field.

If you would like to know the Syllabus of Business Statistics you must visit the official website Gndu.

👉 Important Questions of Business Statistics

  1. Missing Frequency

Missing frequency
Missing frequency

Q.1 (b) Solution

Given: Median = 86

Class

Frequency

45–50

2

50–60

1

60–70

6

70–80

6

80–90

x

90–100

12

100–110

5

Step 1: Total Frequency

Total frequency
N = 2 + 1 + 6 + 6 + x + 12 + 5
N = 32 + x

N/2 = (32 + x) / 2

Step 2: Cumulative Frequency

C.F. up to:

  • 45–50 = 2
  • 50–60 = 3
  • 60–70 = 9
  • 70–80 = 15
  • 80–90 = 15 + x ← Median class
  • 90–100 = 27 + x
  • 100–110 = 32 + x

Median class = 80–90 (because median value 86 lies here)

Step 3: Median Formula

Median = l + [(N/2 – c.f.) / f] × h

Here,
l = 80
c.f. = 15
f = x
h = 10

So,
86 = 80 + [( (32 + x)/2 – 15 ) / x ] × 10

Step 4: Solving

Subtract 80 from both sides:

6 = [ ( (32 + x)/2 – 15 ) / x ] × 10

Divide both sides by 10:

0.6 = [ (32 + x)/2 – 15 ] / x

Simplify numerator:

(32 + x)/2 – 15
= (32 + x – 30) / 2
= (x + 2) / 2

So,
0.6 = (x + 2) / (2x)

Cross-multiply:

0.6 × 2x = x + 2
1.2x = x + 2
1.2x – x = 2
0.2x = 2
x = 2 / 0.2
x = 10

Final Answer

Hence, the missing frequency = 10

Missing frequency

If you would like to find the Syllabus of Business Statistics, you must visit on the official website Gndu.

 

Limitation of Financial Accounting

Limitation of Financial Accounting
Limitation of Financial Accounting

 

Explain the nature and limitations of Financial Accounting.

Meaning of Financial Accounting

Financial Accounting is the systematic process of recording, classifying, summarising and presenting the financial transactions of a business in a significant manner. It measures all business activities in monetary terms and prepares financial statements like Profit & Loss Account and Balance Sheet to determine the profit or loss of the business and its financial position at the end of an accounting period.
It provides reliable and factual financial information mainly for external users such as investors, creditors, government, banks and other stakeholders. limitation of financial accounting

Nature of Financial Accounting

  1. Historical in Nature
    Financial accounting records only those transactions that have already occurred. It tells what has happened in the past, not what will happen in future.
  2. Based on Monetary Transactions
    Only those events that can be measured in money are recorded. Non-monetary factors like employee skills, brand reputation, and customer loyalty are not recorded.
  3. Maintains Systematic Records
    It provides a complete, systematic, and permanent record of all business financial transactions. limitation of financial accounting
  4. Follows Accounting Principles and Standards
    Financial accounting is governed by accounting principles, concepts, and standards (like AS/Ind AS) to ensure reliability and uniformity in reporting.
  5. Preparation of Financial Statements
    It involves the preparation of Trading Account, Profit & Loss Account and Balance Sheet to determine profit/loss and financial position. limitation of financial accounting
  6. Deals with External Reporting
    Financial accounting provides financial information mainly for external parties like investors, creditors, government, tax authorities, etc.
  7. Objective and Verifiable
    The information is based on documentary evidence such as bills, vouchers, invoices, and bank statements, making it reliable.
  8. Business-oriented
    It records only business transactions and completely ignores personal transactions of the owner. limitation of financial accounting

Limitations of Financial Accounting

  1. Historical Nature Only
    It gives information about the past and does not provide future forecasts or predictive analysis for decision-making.
  2. Ignores Qualitative Factors
    Factors like employee morale, management efficiency, customer satisfaction, etc., are not considered because they cannot be expressed in monetary terms. limitation of financial accounting
  3. Possibility of Window Dressing
    Financial statements can be manipulated to show a better financial position (e.g., undervaluing liabilities or overvaluing assets).
  4. Incomplete Information for Internal Management
    It does not provide detailed cost information, product-wise data, department-wise performance, etc. Management accounting is needed for these. limitation of financial accounting
  5. Affected by Personal Judgements
    Use of estimates like depreciation methods, provision for doubtful debts, stock valuation can vary from person to person, reducing comparability.
  6. Inflation Not Considered
    Assets are shown at historical cost, not at current market value. This reduces the relevance during inflation. limitation of financial accounting
  7. Limited Scope
    Financial accounting records only monetary transactions and ignores non-monetary but important events.
  8. No Control Over Errors and Frauds
    It records what has happened; it does not guarantee that errors, frauds or manipulations will not occur. limitation of financial accounting

Conclusion

Financial accounting provides a systematic record and true financial picture of a business, but it is historical, ignores qualitative aspects, and cannot meet the detailed informational needs of management. Therefore, it must be supplemented by cost and management accounting for effective decision-making. limitation of financial accounting

If you want to know the SYLLABUS of Financial Accounting, then you must visit the official website Gndu.

👉Note:- Important Questions of Financial Accounting

  1. What is capital expenditure, revenue expenditure and deferred revenue expenditure? Give characteristics of each. When are revenue expenses treated as capital expenses. ( December- 2023 )
  2. What are Consignment Accounts? Explain accounting treatment of consignment transactions in the books of consignor and consignee. ( December 2024 )
  3. What is a Voyage Account? Explain the procedure of preparing voyage accounts. ( December- 2023 )
  4. What are departmental accounts? What are its objectives? Discuss the methods of departmental accounts. ( December 2023 )

Departmental Accounting

Departmental Accounting
Departmental Accounting

 

What are departmental accounts? What are its objectives? Discuss the methods of departmental accounts. ( December 2023 )

Meaning of Department

A department is a separate, identifiable division or section of a business that performs specific functions and carries out a particular type of activity. departmental accounting
Each department operates as a distinct unit within the organization—such as Sales Department, Production Department, Clothing Department, Electronics Department, etc.—and its performance can be measured separately.

1. Meaning of Departmental Accounts

Departmental Accounts refer to the system of maintaining separate accounts for each department of a business (such as the Clothing Department, Electronics Department, Grocery Department, etc.). departmental accounting
This helps the business to ascertain the profit or loss of each department individually.

In large organizations like departmental stores, hotels, or companies with multiple product groups, departmental accounts help in comparing performance and controlling costs.

Characteristics of Departmental Accounts

  1. Separate Accounting for Each Department
    Each department (e.g., clothing, electronics, footwear) is treated as a distinct unit, and separate results are prepared.departmental accounting
  2. Common Set of Books
    Usually, one set of books is maintained, but the final accounts are prepared in columnar form, with a separate column for each department.
  3. Separate Profit Determination
    The main aim is to find department-wise gross profit and net profit.
  4. Allocation and Apportionment of Expenses
    Direct expenses are charged to respective departments, and indirect expenses are apportioned on logical bases (sales, area, time, etc.).
  5. Helps in Comparison
    Enables comparison of performance between departments or across different periods.departmental accounting
  6. Helps in Cost Control
    By knowing departmental results, management can identify inefficient areas and control costs.
  7. Managerial Responsibility
    Each department’s performance can be monitored, and accountability of departmental managers can be fixed.
  8. Preparation of Consolidated Final Accounts
    After finding department-wise profit, a combined Trading and P&L Account is prepared for the whole business.

2. Objectives of Departmental Accounting

  1. To ascertain profit or loss of each department
    Separate records help determine which department is performing better.
  2. To compare the performance of different departments
    Helps in identifying efficient and inefficient departments.departmental accounting
  3. To help in control and cost reduction
    Department-wise records reveal wastage, high expenses, or low sales.
  4. To assist in managerial decisions
    Helps decide expansion, closure, transfer of goods, pricing policies, etc.
  5. To fix responsibility of departmental managers
    Performance can be judged, and incentives or corrective actions can be given.departmental accounting
  6. To determine commission or bonus
    If departmental managers receive incentive based on departmental profit.
  7. To prepare consolidated final accounts
    After departmental results are known, the total business profit/loss can be calculated. departmental accounting

3. Methods of Departmental Accounting

There are two main methods:

Method 1: Separate Set of Books for Each Department

Explanation:

  • Each department maintains its own journals, ledgers, cash book, and trial balance.
  • Independent trading and profit & loss accounts are prepared for each department.
  • A final consolidated Profit & Loss Account is prepared for the whole business.

Suitable for:

  • Very large organizations with semi-autonomous departments.

Advantages:

  • Highly detailed and accurate
  • Better control and responsibility assignment

Disadvantages:

  • Very costly and time-consuming
  • Requires more staff and more records

Method 2: Single Set of Books with Columnar Format

Explanation:

  • One common set of books is maintained.
  • The Trading and Profit & Loss Account is prepared in columnar form, with a separate column for each department.
  • Expenses are allocated or apportioned to the respective departments based on a suitable basis.

Steps Followed:

  1. Record direct expenses directly in respective department columns (e.g., wages, purchases).
  2. Allocate indirect expenses (e.g., rent, salary, advertising) on reasonable bases:
    • Rent → floor area
    • Salary → time spent
    • Advertising → sales
    • Electricity → machine hours
  3. Find departmental gross profit.
  4. Deduct departmental indirect expenses.
  5. Obtain net profit of each department.
  6. Prepare consolidated final accounts.

Suitable for:

  • Medium or small businesses.
  • Most departmental stores use this method.

Conclusion

Departmental accounts involve preparing separate profit results for each department to control performance and help management in decision-making. Its objectives include measuring departmental profitability, comparing results, controlling expenses, and fixing responsibility. Departmental accounts may be kept either by maintaining separate books for each department or by using a columnar departmental Trading and Profit & Loss Account under a single set of books. departmental accounting.

If you want to know the Syllabus of Financial Accounting, You must visit the official website of Gndu.

👉 Note:- Important Questions of Financial Accounting

  1. What is capital expenditure, revenue expenditure and deferred revenue expenditure? Give characteristics of each. When are revenue expenses treated as capital expenses. ( December- 2023 )
  2. What are Consignment Accounts? Explain accounting treatment of consignment transactions in the books of consignor and consignee. ( December 2024 )
  3. What is a Voyage Account? Explain the procedure of preparing voyage accounts. ( December- 2023 )

Departmental Accounting

deferred revenue expenditure

deferred revenue expenditure
deferred revenue expenditure

 

What is capital expenditure, revenue expenditure and deferred revenue expenditure? Give characteristics of each. When are revenue expenses treated as capital expenses. ( December- 2023 )

1. Capital Expenditure

Meaning:

Capital expenditure is the money spent on acquiring, improving, or extending the life of fixed assets that give benefit for many years. It means which expense gives benefit long term is called Capital Expenditure.

Examples:

  • Purchase of machinery, building, furniture
  • Cost of installation of machinery
  • Major repairs that increase life of an asset

Characteristics of Capital Expenditure:

  • Provides benefits for more than one accounting year.
  • Increases earning capacity or life of an asset.
  • Incurred to acquire or improve fixed assets.
  • Recorded in Balance Sheet (added to the asset value).
  • Not charged fully to Profit & Loss A/c in the same year (depreciation charged every year).

2. Revenue Expenditure

Meaning:

Revenue expenditure is money spent for the day-to-day running of a business and benefits only the current accounting year.

Examples:

  • Salary, rent, stationery
  • Repairs and maintenance
  • Electricity expenses
  • Cost of goods sold

Characteristics of Revenue Expenditure:

  • Benefits are short-term (within one year).
  • Helps in maintenance of assets, not in creating or improving them.
  • Charged fully to the Profit & Loss Account in the same year.
  • Necessary for daily operations.
  • Does not generate future economic benefits beyond the current year.

3. Deferred Revenue Expenditure

Meaning:

These are expenses that are revenue in nature but the benefit lasts for several years, so they are not charged completely in one year.
Earlier they were shown in the Balance Sheet, but now as per Accounting Standards most are written off within a short period. deferred revenue expenditure

Examples:

  • Heavy advertisement expenditure for launching a product
  • Major repairs for temporary benefit
  • Discount on issue of shares/debentures (old concept) deferred revenue expenditure

Characteristics:

  • Revenue nature but benefit spreads over multiple years. deferred revenue expenditure
  • Partly charged to Profit & Loss A/c every year. deferred revenue expenditure
  • Remaining balance shown as a fictitious asset (older practice).
  • Helps in increasing sales or achieving long-term advantages. deferred revenue expenditure

4. When Are Revenue Expenses Treated as Capital Expenses?

Revenue expenses are treated as capital when:

(i) They are incurred to acquire a fixed asset

Example:

  • Wages paid for installation of machinery
  • Transport charges for new furniture

Though wages/transport are revenue normally, here they are added to asset cost → capital expenditure.

(ii) They increase the efficiency or life of an existing asset

Example:

  • Major overhaul of a machine
  • Spending on rebuilding a building

Since it improves the asset, it becomes capital.

(iii) They bring a new advantage or long-term benefit

Example:

  • Special repairs that increase productivity
  • Expenses that create new capacity

(iv) They are necessary to bring the new asset to working condition

Example:

  • Trial run expenses
  • Testing expenses
  • Consultancy fees for asset purchase

These are added to the asset cost.

Conclusion

In conclusion, capital expenditure creates or improves long-term assets, revenue expenditure supports the day-to-day operations of the business, and deferred revenue expenditure gives benefits over several years though revenue in nature. When a revenue expense helps in acquiring or enhancing a fixed asset, or provides long-term benefit, it is treated as capital expenditure. Together, these expenditures help in correctly determining profit and presenting a true financial position of the business. deferred revenue expenditure

If you want to know the Syllabus of Financial Accounting you must visit on Gndu

👉 Note:- Important questions are following

  1. What are Consignment Accounts? Explain accounting treatment of consignment transactions in the books of consignor and consignee.

Consignment account notes

What are Consignment Accounts? Explain accounting treatment of consignment transactions in the books of consignor and consignee.

Meaning of Consignment:

A consignment refers to an arrangement in which the owner of goods (called the consignor) sends goods to another person or agent (called the consignee) to sell those goods on behalf of the consignor.

The ownership of the goods remains with the consignor, even though the goods are in the possession of the consignee. The consignee only acts as an agent and sells the goods for a commission.

Key Points:

  1. Consignor → The person who sends the goods.
  2. Consignee → The person who receives the goods to sell on behalf of the consignor.
  3. Ownership → Remains with the consignor until the goods are sold.
  4. Commission → The consignee earns a commission for selling the goods.
  5. Risk of Goods → Lies with the consignor until the sale is made.

Example:

Suppose Ravi (consignor) sends 100 shirts to Amit (consignee) to sell in Delhi. Amit sells the shirts and sends the sales proceeds (after deducting his commission and expenses) to Ravi.

This arrangement is called a consignment.

Consignment Accounts

Meaning:

A Consignment Account is a special account prepared to find out the profit or loss on goods sent by the consignor (owner) to another person called the consignee (agent), who sells those goods on behalf of the consignor.

  • The Consignor = Owner of the goods
  • The Consignee = Agent who sells goods for the consignor and earns a commission

Ownership of goods remains with the consignor until they are sold. The consignee only acts as a selling agent.

Example for Understanding

Suppose A & Co. (consignor) of Delhi sends 100 bags of rice to B & Co. (consignee) of Mumbai to sell on its behalf.

B & Co. sells them and gets a commission. The profit or loss on this transaction will be known through the Consignment Account prepared by A & Co.

Accounting Treatment

Let’s see how consignment transactions are recorded in the books of both parties:

(A) In the Books of the Consignor

1. When goods are sent on consignment

Consignment A/c Dr.

To Goods Sent on Consignment A/c

(Cost price of goods sent)

Note: If goods are sent above cost (i.e., invoice price), the excess (loading) is later adjusted.

2. When expenses are incurred by consignor

(e.g., freight, insurance, etc.)

Consignment A/c Dr.

To Cash/Bank A/c

3. When consignee incurs expenses

(on behalf of consignor)

Consignment A/c Dr.

To Consignee’s A/c

4. When consignee sells goods

No entry for the sale in consignor’s books at that time.

The consignee will later send an Account Sales showing the sale proceeds.

5. When consignee sends Account Sales and remits money

For amount due from consignee:

Consignee’s A/c Dr.

To Consignment A/c

For commission allowed to consignee:

Consignment A/c Dr.

To Consignee’s A/c

When consignee remits cash:

Bank A/c Dr.

To Consignee’s A/c

6. For unsold goods (Closing Stock on Consignment)

Consignment Stock A/c Dr.

To Consignment A/c

7. For profit or loss on consignment

After all entries, transfer balance of Consignment A/c:

If credit side > debit side → Profit

Consignment A/c To Profit & Loss A/c

If debit side > credit side → Loss

Profit & Loss A/c To Consignment A/c

(B) In the Books of the Consignee

1. When goods received

No entry — because the consignee is not the owner of goods.

2. When consignee incurs expenses

Consignor’s A/c Dr.

To Cash/Bank A/c

3. When consignee sells goods

Cash/Bank/Debtors A/c Dr.

To Consignor’s A/c

4. When commission is earned

Consignor’s A/c Dr.

To Commission A/c

5. When consignee remits balance to consignor

Consignor’s A/c Dr.

To Bank A/c

Summary Table

Transaction

Consignor (Owner)

Consignee (Agent)

Goods sent

Dr. Consignment A/c

No entry

Expenses by consignor

Dr. Consignment A/c

No entry

Expenses by consignee

Dr. Consignment A/c

Dr. Consignor’s A/c

Sale of goods

No entry (until report)

Dr. Cash/Bank To Consignor

Commission

Dr. Consignment A/c

Cr. Commission A/c

Cash remitted

Dr. Bank A/c

Dr. Consignor’s A/c

Closing stock

Dr. Consignment Stock A/c

No entry

Conclusion of Consignment Account

The Consignment Account is prepared to determine the profit or loss on goods sent by the consignor to the consignee for sale.

It is a special trading account showing all expenses, losses, and incomes relating to the consignment. The balance of this account represents the profit (or loss) made on the consignment, which is transferred to the Profit and Loss Account of the consignor.

In short:

  • It helps the consignor to find the result of each consignment separately.
  • The consignee does not own the goods — he only acts as an agent.
  • All expenses and losses are debited, and all incomes, sales, and closing stock are credited.
  • Profit or loss on consignment is finally transferred to the consignor’s Profit & Loss Account.

Final Conclusion:

The consignment account shows the true financial result of goods sent on consignment and ensures proper accounting between consignor and consignee for the entire transaction.

Consignment account notes

If you find the syllabus of financial Accounting of bcom-l. Then you have to visit on the

gndu http://gndu.ac.in