All 10 chapters 70+ formulas & indices Part B · 40 marks Updated April 2026
Formula Sheet · Indian Economic Development

Class 12 IED — Formulas, Indices & Ratios

Every numerical formula, index, ratio, and key data point a CBSE Class 12 Economics student needs from Part B (cross-checked against the standard CBSE / NCERT IED syllabus), organised chapter-wise. Each entry lists its variables. No worked examples — pure reference.

Practice MCQs on These All IED Chapters

Ch 1 Indian Economy on the Eve of Independence

Unit 6 · 12 marks weightage
Demographic Indicators (1947)
Population ≈ 350 million Crude Birth Rate ≈ 48 per 1,000 Crude Death Rate ≈ 40 per 1,000 Infant Mortality ≈ 218 per 1,000 live births Life Expectancy ≈ 32 years Literacy (overall) ≈ 16% Female Literacy ≈ 7%

Census-era figures (1941 Census). The high CBR-CDR gap and very high IMR reflect the underdevelopment of British India.

Sectoral Composition of Workforce (1947)
Primary (agriculture etc.) ≈ 70-75% Secondary (industry) ≈ 10% Tertiary (services) ≈ 15-20%

Heavy concentration in agriculture reflects the colonial economy. Industrial base was minimal at independence.

British-Era Growth (per Naoroji and modern estimates)
Aggregate GDP growth ≈ 2% per annum Per-capita GDP growth ≈ 0.5% per annum

Stagnation under British rule — population grew faster than the economy in many decades. Drain of wealth (Dadabhai Naoroji) eroded productive capacity.

Ch 2 Indian Economy 1950–1990

Unit 6 · 12 marks weightage
Per Capita Income
Per Capita Income = National Income ÷ Population

Used to compare standards of living over time and across countries. National Income = NNP at Factor Cost.

Hindu Rate of Growth
Aggregate GDP growth (1950-80) ≈ 3.5% per annum Per-capita GDP growth (1950-80) ≈ 1% per annum

Term coined by economist Raj Krishna. Critique of the slow, stagnant growth under the centrally-planned model — neither catastrophic nor accelerating.

Four Goals of Five-Year Plans
1. Growth — increase in GDP and per-capita income 2. Modernisation — adoption of new technology and social outlook 3. Self-reliance — reduce dependence on imports and foreign aid 4. Equity — ensure benefits reach the poor and marginalised

CBSE 6-mark workhorse — every year. These goals guided every Five-Year Plan from 1951 to 1990.

Green Revolution — Key Figures
HYV seeds introduced — 1967-68 Foodgrain production — ~50 mt (1950s) → ~176 mt (1990) Wheat output multiplier — roughly 5x in 25 years Geographic concentration — Punjab, Haryana, Western UP

Led by M.S. Swaminathan. Chemical fertilisers + HYV seeds + irrigation + pesticides. Transformed India from food-deficit to self-sufficient.

White Revolution (Operation Flood)
Launched 1970, led by Verghese Kurien (Amul / Anand pattern) Made India world's largest milk producer

Cooperative-led dairy revolution. Distinct from Green Revolution (food grains).

Marketed Surplus
Marketed Surplus = portion of farm output sold in the market = Total Output − On-farm consumption

A key concept for the Green Revolution era — only the marketed surplus enters food supply chains. Subsistence farmers may have low marketed surplus despite producing food.

Ch 3 LPG Reforms (1991)

Unit 6 · 12 marks weightage
1991 BoP Crisis — Key Numbers
Forex reserves ≈ < $1 billion (~2 weeks of imports) Inflation ≈ 16%+ Fiscal deficit (1990-91) ≈ 8.5% of GDP Gold pledged — ~67 tonnes pledged to Bank of England External debt — record-high; close to default

The crisis that triggered the LPG reforms. India had to seek IMF bailout and pledge gold reserves.

Three Components of LPG (1991)
L — Liberalisation : remove industrial licensing, free private sector P — Privatisation : reduce public sector ownership (disinvestment) G — Globalisation : integrate with world economy (trade, investment, finance)

Initiated under PM P.V. Narasimha Rao and Finance Minister Manmohan Singh. Departure from the planning-era Permit-Licence Raj.

Stabilisation vs Structural Reform
Stabilisation — short-term: correct BoP and inflation Structural Reform — long-term: improve economy's efficiency and competitiveness

Two phases of the 1991 programme. Stabilisation came first (immediate crisis); structural reform was the longer agenda (LPG components).

WTO & Trade Reforms
WTO came into being — 1 January 1995 Replaced GATT — General Agreement on Tariffs and Trade (1947) India is a founding member of the WTO

WTO administers global trade rules: TRIPS (intellectual property), TRIMS (investment), GATS (services). Membership requires reducing tariffs and removing trade barriers.

Disinvestment
Disinvestment = sale of part / all of government's stake in a PSU

Different from privatisation: disinvestment can be partial; privatisation requires majority private ownership. Used to raise capital receipts and reduce fiscal deficit.

Outsourcing & BPO
BPO = Business Process Outsourcing KPO = Knowledge Process Outsourcing India's advantage: low-cost English-speaking skilled workforce, time zones

India became a global hub for outsourced services post-1991, especially IT and BPO. Drove much of post-reform service-sector growth.

Ch 4 Poverty

Unit 7 · 22 marks weightage
Calorie-Based Poverty Line
Rural area — 2,400 kcal per person per day Urban area — 2,100 kcal per person per day

India defines poverty using a calorie-intake norm. Rural areas have a higher requirement because rural work involves more physical labour. Common MCQ trap — do not swap the two figures.

Head Count Ratio (HCR)
HCR = (Number of Poor ÷ Total Population) × 100

Percentage of population below the poverty line. India's HCR fell from ~55% (1973-74) to ~22% (2011-12). Limitation: treats all poor as equally poor.

Income Gap Ratio (I)
I = (z − μ_p) ÷ z

z = poverty line; μ_p = mean income of the poor. Measures how far below the line the average poor person is, as a fraction of the poverty line. Used as an input to Sen's Index.

Poverty Gap Index (PGI)
PGI = HCR × I = average shortfall of poor's income from poverty line, expressed as a fraction of the poverty line

Captures the depth of poverty — how far below the line the poor fall on average. A larger PGI means deeper poverty even if HCR is unchanged.

Sen's Poverty Index
Sen's Index = HCR × [I + (1 − I) × G]

HCR = Head Count Ratio (as a fraction); I = income gap ratio; G = Gini coefficient among the poor. Combines incidence (HCR), depth (I), and inequality (G) of poverty into a single index.

Tendulkar Poverty Line
2004-05: Rural ₹447, Urban ₹579 per person per month 2011-12: Rural ₹816, Urban ₹1,000 per person per month

Tendulkar Committee thresholds, derived from Monthly Per Capita Consumption Expenditure (MPCE). CBSE primarily uses the 2011-12 figures.

Rangarajan Poverty Line (2014)
Rural: ₹972 per person per month Urban: ₹1,407 per person per month

Newer methodology than Tendulkar; uses normative consumption baskets including food + non-food essentials. Mentioned in NCERT 2025-26 syllabus extensions.

Categories of the Poor
Chronic poor — always poor (long-term destitute) Churning poor — move in and out of poverty (e.g. casual labourers) Occasionally poor — usually non-poor; poor occasionally Non-poor — never poor

NCERT-explicit classification. Useful for targeting anti-poverty programmes — chronic poor need direct welfare; churning poor need stable employment.

Poverty Ratio Trend (Tendulkar)
1993-94: 45.3% 2004-05: 37.2% 2011-12: 21.9%

Poverty ratio nearly halved between 1993 and 2012 per Tendulkar methodology. CBSE asks the trend.

Ch 5 Human Capital Formation

Unit 7 · 22 marks weightage
Literacy Rate
Literacy Rate = (Number of Literates aged 7+ ÷ Population aged 7+) × 100

India's literacy as per Census 2011: 74% overall, 82.1% male, 65.5% female. Kerala highest (~94%); Bihar lowest (~63%). Youth literacy ≈ 86%.

Gross Enrolment Ratio (GER)
GER = (Total Enrolment in a Level of Education ÷ Population in the Official Age Group for that Level) × 100

Measures access to education at each level (primary, secondary, higher). GER > 100% possible if older/younger students enrol. GER < 100% means under-enrolment.

Per Capita Public Expenditure on Education
Per Capita Education Expenditure = Total Govt Expenditure on Education ÷ Population

One indicator of investment in human capital.

Education Expenditure as % of GDP
Target (Kothari Commission, 1964-66) — 6% of GDP Actual (current) — ≈ 4% of GDP

India consistently underspends on education relative to the Kothari target. Education expenditure as % of total government expenditure is currently around 10-15%.

Five Sources of Human Capital Formation
1. Expenditure on education 2. Expenditure on health 3. On-the-job training 4. Migration (in search of better opportunities) 5. Expenditure on information / acquiring information

NCERT-explicit sources. Each builds skills, knowledge, or health that boost productive capacity.

Right to Education (RTE) Act
RTE Act, 2009 — Free and compulsory education for children aged 6-14 — 25% reservation in private schools for EWS

Operationalised under Article 21A. Sets minimum infrastructure norms for schools.

Ch 6 Rural Development

Unit 7 · 22 marks weightage
Sources of Agricultural Credit
Non-Institutional — Moneylenders, Traders, Landlords, Relatives Institutional — Cooperatives, Commercial Banks, Regional Rural Banks (RRBs), NABARD, SHG-Bank Linkage, Microfinance, Kisan Credit Card (KCC)

CBSE 6-mark workhorse. Moneylenders historically dominated; institutional credit has grown but moneylender dependence persists in remote areas.

NABARD & KCC
NABARD — National Bank for Agriculture and Rural Development (est. 12 July 1982) KCC — Kisan Credit Card scheme (launched 1998)

NABARD is the apex institution for agricultural and rural credit. KCC provides timely short-term credit to farmers at concessional rates.

Government Price Support Chain
MSP — Minimum Support Price, announced by govt before sowing recommended by CACP (Commission for Agricultural Costs & Prices) Buffer Stock — government-procured grain held for food security Issue Price — subsidised price at which PDS sells grain to consumers PDS — Public Distribution System (network of Fair Price Shops)

The chain: MSP procures from farmers → Buffer Stock holds it → PDS distributes via Fair Price Shops at Issue Price. AAY targets the poorest of poor (35 kg/family/month at heavily subsidised rates).

Diversification of Agriculture
Diversification of Crops — shift from food grains to fruits, vegetables, flowers Diversification of Activities — shift labour from agriculture to allied sectors (dairy, poultry, fisheries) and non-farm employment

Reduces risk and raises rural incomes. Allied sectors are growing faster than crop agriculture in recent decades.

Other "Revolutions"
Green Revolution — food grains (Swaminathan) White Revolution — milk & dairy (Kurien, Operation Flood, 1970) Yellow Revolution — oilseeds Blue Revolution — fish & aquaculture Golden Revolution — horticulture (fruits, vegetables, honey) Pink Revolution — meat & poultry processing

CBSE 1-mark MCQ workhorse — match each colour to its sector.

Self-Help Groups (SHGs) & Microfinance
SHG — small group of 15-20 rural members who pool savings, lend internally Linked to commercial banks (SHG-Bank Linkage Programme via NABARD, 1992)

A major channel of micro-credit and women's empowerment in rural India. NABARD's SHG-Bank Linkage is one of the world's largest microfinance programmes.

Ch 7 Employment

Unit 7 · 22 marks weightage
Labour Force vs Workforce
Labour Force = Persons employed (Workforce) + Unemployed actively seeking work Workforce = Persons actually employed

A common CBSE trap. Workforce is a subset of Labour Force. The difference equals the number of unemployed who are actively seeking work.

Labour Force Participation Rate (LFPR)
LFPR = (Labour Force ÷ Total Population) × 100

Share of population that is in the labour market — either employed or actively seeking work.

Worker-Population Ratio (WPR)
WPR = (Workforce ÷ Total Population) × 100

Share of population that is actually employed. Difference between LFPR and WPR reflects unemployment.

Unemployment Rate
Unemployment Rate = (Number Unemployed ÷ Labour Force) × 100 = ((Labour Force − Workforce) ÷ Labour Force) × 100

Share of the labour force that is unemployed. Note: denominator is Labour Force, not total population.

Four Approaches to Measure Employment
UPS (Usual Principal Status) — major time spent during last 365 days UPSS (Usual Principal & Subsidiary) — UPS + minor activity in last 365 days CWS (Current Weekly Status) — at least 1 hour worked during last 7 days CDS (Current Daily Status) — half a day's work for each day of last 7 days

Different reference periods capture different forms of employment. CDS is the most comprehensive (catches casual / intermittent work); UPS is the narrowest.

Three Categories of Workers
1. Self-employed — own-account workers, employers, unpaid family workers (~52%) 2. Regular salaried — fixed wages or salary on regular basis (~18%) 3. Casual wage — irregular employment, paid by day or task (~30%)

Self-employment dominates Indian labour. Regular salaried is the smallest group. Percentages from PLFS — vary slightly year to year.

Types of Unemployment
Disguised / Hidden — too many workers in one activity (marginal product = 0) Seasonal — unemployment in off-season (agriculture) Open — visibly without work, actively seeking Structural — mismatch between worker skills and available jobs Cyclical — unemployment during economic downturns Frictional — temporary, between jobs

CBSE focuses heavily on disguised (rural agriculture) and seasonal (rural) unemployment as defining features of the Indian labour market.

Formal vs Informal Sector
Formal sector — enterprises with 10+ workers; formal contracts; social security Informal sector — small unincorporated enterprises; no contracts; no social security ~ 90% of Indian workforce is in the informal sector

Informalisation of the workforce = rising share of informal workers; even formal enterprises increasingly hire contract/temporary workers without benefits.

Jobless Growth
Jobless Growth — economy grows (GDP rises) without proportional rise in employment

India experienced jobless growth in periods after 1991. Causes: capital-intensive growth, automation, shift from labour-intensive manufacturing to services.

MGNREGA
MGNREGA — 100 days of guaranteed unskilled wage employment per rural household per financial year

Mahatma Gandhi National Rural Employment Guarantee Act, 2005. Legal right; if work not provided within 15 days, unemployment allowance must be paid. Per household, not per individual.

Ch 8 Infrastructure

Unit 7 · 22 marks weightage
Two Categories of Infrastructure
Economic Infrastructure — Transport, Communication, Energy, Banking, Irrigation Social Infrastructure — Education, Health, Housing, Sanitation

Both are essential for sustainable economic development. Economic infrastructure directly supports production; social infrastructure supports human capital.

Infant Mortality Rate (IMR)
IMR = (Infant deaths in a year ÷ Live births in same year) × 1,000

Infants dying before age 1, per 1,000 live births. Key health-infrastructure indicator. India's IMR has fallen from >100 (1990s) to ~26-28 (recent).

Maternal Mortality Ratio (MMR)
MMR = (Maternal deaths in a year ÷ Live births in same year) × 100,000

Women dying from pregnancy/childbirth complications per 100,000 live births. Trap: denominator base is 100,000 for MMR vs 1,000 for IMR. India's MMR ≈ 97 (latest).

Crude Birth Rate (CBR)
CBR = (Live births in a year ÷ Mid-year Population) × 1,000

Live births per 1,000 population. Falls with development.

Crude Death Rate (CDR)
CDR = (Deaths in a year ÷ Mid-year Population) × 1,000

Deaths per 1,000 population. Falls with improvements in healthcare and nutrition.

Total Fertility Rate (TFR)
TFR = average number of children a woman bears during her reproductive years (15-49)

Replacement level fertility ≈ 2.1. India's TFR has fallen below replacement (~2.0) in recent NFHS data.

Sex Ratio
Sex Ratio = (Number of Females ÷ Number of Males) × 1,000 (per 1,000 males in NCERT convention)

India's sex ratio (Census 2011) ≈ 943 females per 1,000 males. Child Sex Ratio (0-6 years) ≈ 919 — has worsened over decades, reflecting prenatal sex selection.

Energy Sources — Conventional vs Non-Conventional
Conventional — Coal, Petroleum, Natural Gas, Hydropower, Nuclear Non-Conventional — Solar, Wind, Biogas, Tidal, Geothermal

Coal is India's largest commercial energy source (~55%). Petroleum ~30% (mostly imported — energy security concern). Renewables share rising.

Three Systems of Medicine
Allopathy — modern Western medicine AYUSH — Ayurveda, Yoga, Unani, Siddha, Homoeopathy (Indian systems of medicine, separate ministry since 2014)

CBSE 1-mark MCQ. AYUSH systems are integral to Indian health infrastructure.

National Rural Health Mission (NRHM)
Launched 2005. Three-tier rural healthcare: Sub-Centre — 1 ANM/MPW for ~5,000 population (3,000 in hilly/tribal) Primary Health Centre — Medical Officer + ~30,000 population Community Health Centre — Specialists + ~120,000 population

Includes Janani Suraksha Yojana (maternal health) and ASHA workers (community health activists). Aims to deliver accessible rural healthcare.

Tele-density
Tele-density = (Number of telephone connections ÷ Population) × 100

Indicator of communication infrastructure. India's tele-density rose dramatically post-2000 with mobile expansion.

Ch 9 Environment & Sustainable Development

Unit 7 · 22 marks weightage
Four Functions of Environment
1. Supplies resources (renewable + non-renewable) 2. Assimilates waste 3. Sustains life (biosphere services) 4. Provides aesthetic services

CBSE 4-mark workhorse. Environmental degradation occurs when waste exceeds assimilative capacity OR resource extraction exceeds regeneration.

Renewable vs Non-Renewable Resources
Renewable — replenish naturally (solar, wind, water, forests) Non-Renewable — finite stock; cannot replenish in human timescale (coal, oil, natural gas, minerals)

Sustainable development requires shifting from non-renewable to renewable resources.

Green GDP
Green GDP = GDP − Depreciation of Natural Capital − Cost of Pollution

Adjusts conventional GDP for environmental damage AND resource depletion. Provides a truer picture of sustainable economic progress than raw GDP.

Sustainable Development (Brundtland 1987)
"Development that meets the needs of the present without compromising the ability of future generations to meet their own needs."

Brundtland Commission (formal name: World Commission on Environment and Development). The most-cited definition in CBSE board questions.

Eight NCERT Strategies for Sustainable Development
1. Use of non-conventional energy sources (solar, wind, mini-hydel) 2. LPG / gobar gas in rural areas 3. CNG in urban areas 4. Wind power 5. Solar power via photovoltaic cells 6. Mini-hydel plants 7. Traditional knowledge & practices 8. Bio-composting / bio-pesticides / bio-pest control

CBSE 6-mark workhorse — every year. Memorise the list.

Key International Environmental Treaties
Montreal Protocol (1987) — Ozone layer protection (CFC phase-out) Kyoto Protocol (1997) — GHG emission reduction (in force 2005) Paris Agreement (2015) — limit warming to 1.5-2°C Chipko Movement (1973) — India: forest conservation (Sundarlal Bahuguna)

India is a signatory to all major treaties; as a developing country, was historically not bound by mandatory emission cuts (principle of "common but differentiated responsibilities").

Ch 10 India, Pakistan & China — Comparative Development

Unit 8 · 6 marks weightage
Human Development Index (HDI) — current methodology
HDI = (Life Expectancy Index × Education Index × Income Index)^(1/3)

Geometric mean of three sub-indices (post-2010 UNDP methodology). Range: 0 to 1; higher is better. HDI was created by Mahbub-ul-Haq (Pakistan) and Amartya Sen (India) in 1990.

HDI — Pre-2010 methodology (legacy)
HDI = (LE Index + Education Index + Income Index) ÷ 3

Arithmetic mean form. Some older NCERT editions and CBSE answer keys still accept this version. Post-2010 UNDP switched to geometric mean to penalise imbalance across dimensions.

Sub-Index (general normalisation)
Sub-Index = (Actual Value − Minimum Value) ÷ (Maximum Value − Minimum Value)

Min-max normalisation against fixed UNDP reference values. Produces a value between 0 and 1 for each dimension.

Life Expectancy Index
LE Index = (LE − 20) ÷ (85 − 20)

LE = Life Expectancy at Birth in years. UNDP min = 20 years; max = 85 years.

Education Index
Education Index = (MYS Index + EYS Index) ÷ 2 MYS Index = Mean Years of Schooling ÷ 15 EYS Index = Expected Years of Schooling ÷ 18

MYS = average years of schooling for adults aged 25+; EYS = years of schooling a child entering school can expect to receive.

Income Index — uses LOG of GNI per capita
Income Index = (ln(GNI per capita) − ln(100)) ÷ (ln(75,000) − ln(100))

Log scale reflects diminishing returns to income at high levels. UNDP min = $100, max = $75,000 (PPP, 2011 prices). CBSE 2021 specifically asked that Income Index uses logarithm — students who used raw GNI lost marks.

India / Pakistan / China — Comparative Indicators
India Pakistan China HDI rank/value (recent) ≈ 0.633 ≈ 0.557 ≈ 0.761 Life Expectancy ≈ 70 yrs ≈ 67 yrs ≈ 76 yrs IMR (per 1,000) ≈ 28 ≈ 57 ≈ 7 Total Fertility Rate ≈ 2.0 ≈ 3.5 ≈ 1.7 Urbanisation ≈ 35% ≈ 37% ≈ 64%

UNDP Human Development Report values (vary by edition). China leads on most indicators, India is middle, Pakistan trails. Numbers move slightly each year — use these as approximate reference.

Reform Timelines
China: 1978 — Deng Xiaoping's Four Modernisations Pakistan: 1988 — World Bank/IMF-driven reforms India: 1991 — LPG reforms

China's 13-year head start over India is a key reason for its faster development. Pakistan's reforms were less comprehensive than India's.

Other Key Dates (China)
1958 — Great Leap Forward (Mao) 1966 — Cultural Revolution (Mao) 1979 — One-Child Policy introduced 2016 — One-Child Policy relaxed to two-child 2021 — Three-child policy permitted

Standard CBSE 1-mark MCQ workhorse dates.

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