CBSE Class 12th Economics Important Numericals with Solutions

CBSE Class 12th Economics Important Numericals are often the deciding factor between a good score and a perfect 100. Understanding these numerical problems is vital for mastering the syllabus and gaining confidence for the board exams. This guide covers essential calculations from key chapters, including National Income, Income Determination, Government Budget, Money and Banking, and Balance of Payments. By providing core formulas and step-by-step practical examples, this resource is designed to reinforce your conceptual learning and ensure you are exam-ready.

Key Chapters for Numerical Problems

The primary chapters from which numerical problems are typically drawn from Economics are:

1. National Income

2. Income Determination

3. Government Budget

4. Balance of Payments

5. Money and Banking (specifically Credit Creation)

6. Indian Economic Development (specifically Employment and Unemployment)

GDP Deflator / Price Index

The GDP Deflator or Price Index (PI) is a crucial measure. Numericals involving the GDP Deflator are considered highly important for upcoming examinations.

• Formula for Price Index (PI) / GDP Deflator:
  PI = (Nominal GDP / Real GDP) × 100

Example 1: Calculating Real GDP

• Given:

• Nominal GDP = 1200

• Price Index = 120

• To Calculate: Real GDP

• Solution:

• 120 = (1200 / Real GDP) × 100

• Real GDP = (1200 / 120) × 100

• Real GDP = 10 × 100 = 1000

National Income – Value Added Method

National Income numericals are frequent, especially those using the Value Added Method, also known as the Output Method, Production Method, or Industrial Method. This method is especially important.

 The three main methods for National Income accounting are:

1. Income Method

2. Expenditure Method

3. Value Added Method

• Formula for Gross Value Added at Market Price (GVA at MP):
  GVA at MP = Value of Output (VO) – Intermediate Consumption (IC)

Understanding Value of Output (VO)

The Value of Output (VO) is composed of:

1. Domestic Sales

2. International Sales (Exports)

3. Production for Self-Consumption

4. Unsold Stock or Change in Stock. (Memory Tip: Often, Domestic Sales and International Sales are combined as "Sales" in problem statements. If "Production for Self-Consumption" is not provided, assume it's zero.)

• If Sales are not directly given, they can be computed as Quantity Sold (Units) × Price Per Unit.

Understanding Intermediate Consumption (IC)

Intermediate Consumption (IC) refers to goods and services used up in production or purchased for resale.

• Key Characteristics of IC:

1. Purpose of Resale

2. Aid to Production

3. Recurring Nature

• Example: Raw materials.

• Purpose: Subtracting IC avoids double counting in national income.

Crucial Conversions for National Income Aggregates

Example 2: Calculating NVA at FC with Detailed Breakdown

• Given:

• Sales = 2000 units × ₹10/unit = ₹20,000

• Net Change in Stock = -50

• Intermediate Cost (IC) = ₹10,000

• Consumption of Fixed Capital (Depreciation) = 600

• Indirect Tax (GST) = 400

• Subsidies = 500

• To Calculate: Net Value Added at Factor Cost (NVA at FC)

• Solution:

• Step 1: Calculate Value of Output (VO)

• VO = Sales + Net Change in Stock = 20,000 + (-50) = 19,950

• Step 2: Calculate GVA at MP

• GVA at MP = VO – IC = 19,950 – 10,000 = 9,950

• Step 3: Convert GVA at MP to NVA at FC

• NVA at MP = GVA at MP – Depreciation = 9,950 – 600 = 9,350

• NIT = Indirect Tax – Subsidies = 400 – 500 = -100

• NVA at FC = NVA at MP – NIT = 9,350 – (-100) = 9,350 + 100 = 9,450

Income Determination – Investment Multiplier

The Investment Multiplier (K) is a core concept. This formula is extremely important.

• Investment Multiplier (K) Formula: K = ΔY / ΔI = 1 / (1 – MPC) = 1 / MPS

• ΔY: Change in National Income

• ΔI: Change in Investment

• MPC: Marginal Propensity to Consume

• MPS: Marginal Propensity to Save
  (Memory Tip: When solving problems, always write down the complete formula first. This helps in securing marks due to step marking.)

Example 3: Calculating Change in Investment (ΔI)

• Given:

• Increase in National Income (ΔY) = 2000 Crores

• MPC = 75% = 0.75

• To Calculate: Increase in Investment (ΔI)

• Solution:

• ΔY / ΔI = 1 / (1 – MPC)

• 2000 / ΔI = 1 / (1 – 0.75) = 1 / 0.25 = 4

• ΔI = 2000 / 4 = 500 Crores

Example 4: Calculating Change in Income (ΔY) due to Change in MPC

• Given:

• Initial MPC = 75% = 0.75

• New MPC = 90% = 0.90

• Change in Investment (ΔI) = 1000 Crores

• To calculate: Increase in Income (ΔY) resulting from the change in MPC.

• Solution:

• Case 1: When MPC = 0.75

• ΔY / 1000 = 1 / (1 – 0.75) = 4

• ΔY = 4 × 1000 = 4000 Crores

• Case 2: When MPC = 0.90

• ΔY / 1000 = 1 / (1 – 0.90) = 10

• ΔY = 10 × 1000 = 10,000 Crores

• Change in Income = 10,000 – 4000 = 6000 Crores

Income Determination – Equilibrium Income

This focuses on calculating Investment Expenditure in an economy at equilibrium. This type of question is on high alert for examinations.

• Equilibrium Condition: National Income (Y) = Consumption (C) + Investment (I).

• Consumption Function: C = Ā + MPC × Y, where Ā is Autonomous Consumption.

Example 5: Finding Investment (I) in an Equilibrium Economy

• Given:

• National Income (Y) = 1000

• Autonomous Consumption (Ā) = 100

• MPC = 0.8

• To Calculate: Investment (I)

• Solution:

• Y = (Ā + MPC × Y) + I

• 1000 = (100 + 0.8 × 1000) + I

• 1000 = 100 + 800 + I

• 1000 = 900 + I

• I = 1000 – 900 = 100

Government Budget – Deficits

Numerical problems related to the Government Budget often involve calculating different types of deficits. It is absolutely essential to prepare for Government Budget numericals this year.

The three main types of budgetary deficits are:

1. Revenue Deficit (RD)

2. Fiscal Deficit (FD)

3. Primary Deficit (PD)

• Formulas for Deficits:

• Revenue Deficit (RD) = Revenue Expenditure – Revenue Receipts

• Fiscal Deficit (FD) = Total Expenditure – Total Receipts (excluding borrowings)
  (Memory Tip: The Fiscal Deficit is conceptually equivalent to the total borrowings required by the government.)

• Primary Deficit (PD) = Fiscal Deficit – Interest Payments

Example 6: Calculating Primary Deficit (PD)

• Given:

• Revenue Expenditure (RE) = 20

• Capital Expenditure (CE) = 15

• Revenue Deficit (RD) = 10

• Non-debt creating Capital Receipts = 50% of Revenue Receipts

• Interest Payments = 4

• To Calculate: Primary Deficit (PD)

• Solution:

• Step 1: Calculate Revenue Receipts (RR)

• RD = RE – RR => 10 = 20 – RR => RR = 10

• Step 2: Calculate Total Receipts (excluding borrowings)

• Non-debt creating Capital Receipts = 50% of 10 = 5

• Total Receipts (excluding borrowings) = RR + Non-debt creating Capital Receipts = 10 + 5 = 15

• Step 3: Calculate Total Expenditure

• Total Expenditure = RE + CE = 20 + 15 = 35

• Step 4: Calculate Fiscal Deficit (FD)

• FD = Total Expenditure – Total Receipts (excluding borrowings) = 35 – 15 = 20

• Step 5: Calculate Primary Deficit (PD)

• PD = FD – Interest Payments = 20 – 4 = 16

Money and Banking – Credit Creation

Numericals from Money and Banking primarily focus on Credit Creation. This is a very important topic.

• Concept: Commercial banks expand credit through a multiplier process.

• Formula for Total Credit Creation: Total Credit Creation = Initial Deposit × (1 / CRR)

• CRR: Cash Reserve Ratio (Legal Reserve Ratio).

Example 7: Calculating CRR

• Given:

• Initial Deposit (Primary Deposit) = 400

• Total Deposit Created = 4000

• To Calculate: Reserve Requirement (CRR)

• Solution:

• Total Credit Creation = Primary Deposit × (1 / CRR)

• 4000 = 400 × (1 / CRR)

• 10 = 1 / CRR

• CRR = 1 / 10 = 0.1 or 10%

National Income – Income Method

This section deals with calculating National Income components using the Income Method.

• Formula for Net Domestic Product at Factor Cost (NDP at FC) via Income Method:
  NDP at FC = Compensation of Employees (COE) + Operating Surplus (OS) + Mixed Income (MI)
  (Memory Tip: Always write down the formula first in examinations to secure step marking.)

Understanding Operating Surplus (OS)

Operating Surplus (OS) comprises income from property and entrepreneurship. It includes:

1. Rent

2. Interest

3. Royalty

4. Profit

Pre-tax Profit and its Components

The Pre-tax Profit is foundational. It refers to profit before any tax is applied.

• Components of Pre-tax Profit:

1. Dividends: The portion of profit distributed to shareholders.

2. Undistributed Profit: Also known as Net Retained Earnings or Savings of Private Corporate Sector, this is profit retained by the company. (Memory Tip: Dividends are distributed, Undistributed Profit is saved and retained.)

3. Corporate Tax: The tax paid out of profit, included in pre-tax profit.

• Deriving Pre-tax Profit: If Profit After Tax is given, add Corporate Tax to find Pre-tax Profit.

Example 8: Calculating Domestic Income (NDP at FC) and National Income (NNP at FC)

• Given Components:

• COE = 2000

• Rent & Interest = 800 (assume Royalty = 0)

• Corporate Tax = 460, Dividends = 940, Undistributed Profit = 300

• Mixed Income (MI) of Self-Employed = 200

• Net Factor Income From Abroad (NFIA) = 150

• To Calculate: Domestic Income (NDP at FC) and National Income (NNP at FC)

• Solution:

• Step 1: Calculate Total Profit

• Total Profit = Corporate Tax + Dividends + Undistributed Profit = 460 + 940 + 300 = 1700

• Step 2: Calculate Operating Surplus (OS)

• OS = Rent & Interest + Total Profit = 800 + 1700 = 2500

• Step 3: Calculate Domestic Income (NDP at FC)

• NDP at FC = COE + OS + MI = 2000 + 2500 + 200 = 4700

• Step 4: Calculate National Income (NNP at FC)

• NNP at FC = NDP at FC + NFIA = 4700 + 150 = 4850

National Income Calculation: Expenditure Method

The Expenditure Method estimates National Income. It primarily yields Gross Domestic Product at Market Price (GDP at MP).

• Formula for GDP at MP:
  GDP at MP = Private Final Consumption Expenditure (PFCE) + Government Final Consumption Expenditure (GFCE) + Gross Domestic Capital Formation (GDCF) + Net Exports

• Components Breakdown:

• Gross Domestic Capital Formation (GDCF): If Gross Domestic Fixed Capital Formation is given, Change in Stock (Net Addition to Stock) must be added to it to find GDCF.

Example 9: Calculating National Income (NNP at FC)

• Given:

• PFCE = 1000

• GFCE = 2000

• Gross Domestic Fixed Capital Formation = 1000

• Net Addition to Stock (Change in Stock) = 50

• Net Exports = 100

• Consumption of Fixed Capital (Depreciation) = 100

• Net Factor Income From Abroad (NFIA) = 20

• Net Indirect Taxes (NIT) = 200

• To Calculate: National Income (NNP at FC)

• Solution:

• Step 1: Calculate Gross Domestic Capital Formation (GDCF)

• GDCF = 1000 + 50 = 1050

• Step 2: Calculate GDP at MP

• GDP at MP = 1000 (PFCE) + 2000 (GFCE) + 1050 (GDCF) + 100 (Net Exports) = 4150

• Step 3: Convert GDP at MP to National Income (NNP at FC)

• NNP at FC = GDP at MP – Depreciation + NFIA – NIT

• NNP at FC = 4150 – 100 + 20 – 200 = 3870

National Income: Calculating NDP at FC by Expenditure and Production Methods

This type of comprehensive question is crucial for securing marks.

Calculation using Expenditure Method

• Components: PFCE, GFCE, Net Domestic Capital Formation (NDCF), Net Exports.

• NDCF: Net Domestic Fixed Capital Formation + Net Change in Stock.

Example 10 (Part A): Expenditure Method

• Given:

• PFCE = 1450, GFCE = 400

• Net Domestic Fixed Capital Formation = 200

• Net Change in Stock = -50

• Net Imports = -50 (implies Net Exports = +50)

• Indirect Taxes (IT) = 100, Subsidies = 0

• To Calculate: NDP at FC

• Solution:

• NDCF = 200 + (-50) = 150

• Net Exports = -(-50) = 50

• NDP at MP = PFCE + GFCE + NDCF + Net Exports = 1450 + 400 + 150 + 50 = 2050

• NDP at FC = NDP at MP – IT + Subsidies = 2050 – 100 + 0 = 1950

Calculation using Production Method (Value Added Method)

• Formula: GVA at MP = Value of Output - Intermediate Consumption (IC).

Example 10 (Part B): Production (Value Added) Method

• Given:

• Value of Output in the Economy = 4100

• Intermediate Consumption (Primary) = 600

• Intermediate Consumption (Secondary) = 700

• Intermediate Consumption (Tertiary) = 700

• Consumption of Fixed Capital (Depreciation) = 50

• Indirect Taxes (IT) = 100, Subsidies = 0

• To Calculate: NDP at FC

• Solution:

• Total IC = 600 + 700 + 700 = 2000

• GDP at MP (GVA at MP) = Value of Output – Total IC = 4100 – 2000 = 2100

• NDP at MP = GDP at MP – Depreciation = 2100 – 50 = 2050

• NDP at FC = NDP at MP – IT + Subsidies = 2050 – 100 + 0 = 1950

• Conclusion: NDP at FC calculated by both methods is 1950, confirming consistency.

Income Determination: Calculating Income from Savings and APS/APC Ratio

This is a unique and important question type.

• Key Concepts:

• APS + APC = 1

• APS = Savings (S) / Income (Y)
  (Memory Tip: If a ratio A:B is given, the fraction for A is A/(A+B).)

Example 11: Calculating Level of Income (Y)

• Given:

• Total Savings (S) = 2000

• Ratio of APS : APC = 2 : 7

• To Calculate: Level of Income (Y)

• Solution:

• Step 1: Calculate APS from the ratio

• APS = 2 / (2 + 7) = 2 / 9

• Step 2: Use the APS formula

• APS = S / Y => 2/9 = 2000 / Y

• Y = (2000 × 9) / 2 = 1000 × 9 = 9000

Balance of Trade (BOT) Calculation

The Balance of Trade (BOT) is the difference between a country's Exports (X) and Imports (M) of goods only.

• Surplus: When Exports (X) > Imports (M).

• Deficit: When Imports (M) > Exports (X).

Example 12: Calculating Exports with BOT Surplus

• Given:

• BOT Surplus = 10,000

• Imports (M) of Merchandise are half (1/2) of the Exports (X) of Merchandise (M = 1/2 X).

• To Calculate: Value of Exports (X)

• Solution:

• X - M = 10,000

• X - (1/2 X) = 10,000

• (1/2)X = 10,000

• X = 10,000 × 2 = 20,000

Balance of Payments: Current Account Calculation

The Balance of Payments (BOP) has two primary accounts: Current Account and Capital Account.

Components of the Current Account

1. Goods: Visible Exports/Imports.

2. Services: Invisible Exports/Imports (e.g., tourism).

3. Income: Factor income receipts/payments (wages, profits, interest, dividends).

4. Unilateral Transfers (UTs): Single-sided transactions (e.g., gifts, grants, remittances). (Memory Tip: Unilateral Transfers are always single-sided.)

Example 13: Calculating Balance on Current Account

• Given:

• Visible Exports (Goods) = 100, Visible Imports (Goods) = 150

• Invisible Exports (Services) = 70, Invisible Imports (Services) = 30

• Net Current Transfers (UTs) = 15

• Income: Not given (assume 0)

• To Calculate: Total Balance on Current Account

• Solution:

• Balance on Goods = 100 - 150 = -50

• Balance on Services = 70 - 30 = 40

• Balance on Income = 0

• Net Unilateral Transfers = 15

• Total Balance on Current Account = -50 + 40 + 0 + 15 = 5 (Surplus)

Key Macroeconomic Formulas for Table-Based Questions

These formulas are crucial for table-based questions.

• Average Propensity to Consume (APC): APC = C / Y (Consumption / Income)

• Marginal Propensity to Consume (MPC): MPC = ΔC / ΔY (Change in Consumption / Change in Income)

• Average Propensity to Save (APS): APS = S / Y (Saving / Income)

• Marginal Propensity to Save (MPS): MPS = ΔS / ΔY (Change in Saving / Change in Income)

Numerical Problem Solving: Multiplier and Income Determination

• Problem Statement & Given Data:

• An economy with additional investment (ΔI) of ₹1000 Crores.

• 80% of additional income is spent on consumption.

• This implies MPC = 80% = 0.8.

• To Calculate: Investment Multiplier (k) and Change in Income (ΔY).

Solution:

• 1. Calculate the Investment Multiplier (k):

• k = 1 / (1 - MPC) = 1 / (1 - 0.8) = 1 / 0.2 = 5

• 2. Calculate the Change in Income (ΔY):

• k = ΔY / ΔI => ΔY = k × ΔI

• ΔY = 5 × ₹1000 Crores = ₹5000 Crores