CBSE Class 12 Economics NCERT Solutions: National Income and Related Aggregates

The aggregate final expenditure in an economy must be equal to the aggregate factor payments because of the circular flow of income. All the revenue earned by firms from the sale of final goods and services (which constitutes aggregate final expenditure) is distributed among the factors of production (land, labour, capital, entrepreneurship) as factor payments (rent, wages, interest, profit). Therefore, the total spending on final goods and services must, in principle, equal the total income generated by producing those goods and services.

This equality holds true when we consider spending on final goods only, excluding intermediate goods, as the value of intermediate goods is already incorporated into the value of final goods.

Planned Inventory Accumulation: This refers to the deliberate increase in the stock of inventories by a firm with the intention of meeting future demand, managing production fluctuations, or taking advantage of expected price changes. Firms plan these changes as part of their business strategy.

Unplanned Inventory Accumulation: This occurs when the actual sales of a firm are less than anticipated, leading to an unexpected buildup of unsold goods. This is often a result of unforeseen changes in demand or market conditions, and it represents a deviation from the firm's plans.

The relation between the change in inventories and the value added of a firm can be expressed as:

Value Added (GVA) = Gross Value of Output Produced by the Firm - Value of Intermediate Goods Used by the Firm.

Alternatively, considering sales and inventory changes:

GVA = Value of Sales by the Firm + Value of Change in Inventories - Value of Intermediate Goods Used by the Firm.

This shows that an increase in inventories contributes positively to the value added by a firm, as it represents output produced but not yet sold.

The three methods to calculate the Gross Domestic Product (GDP) of a country are:

1. Product Method (Value Added Method): This method calculates GDP by summing the value added at each stage of production across all sectors of the economy. GDP = Sum of Value Added by all firms/sectors.
2. Income Method: This method calculates GDP by summing all factor incomes earned within the country during a period. GDP = Compensation of Employees + Operating Surplus (Rent, Interest, Profit) + Mixed Income of Self-Employed.
3. Expenditure Method: This method calculates GDP by summing all final expenditures made within the country during a period. GDP = Private Final Consumption Expenditure + Government Final Consumption Expenditure + Gross Domestic Capital Formation (Investment) + Net Exports (Exports - Imports).

Explanation for Equality: All three methods measure the same aggregate economic activity, the GDP, but from different perspectives. The product method measures the value of goods and services produced. The income method measures the income generated from that production. The expenditure method measures the spending on that production. In a circular flow of income, the total value of goods and services produced must equal the total income generated from their production, which in turn must equal the total expenditure on those goods and services. Thus, conceptually, all three methods should yield the same GDP value, assuming accurate data and consistent definitions.

Budget Deficit: It is the excess of government expenditure over its revenue (primarily tax revenue). Mathematically, Budget Deficit = Government Expenditure (G) - Net Tax Revenue (T). A negative budget deficit (as given in the problem) implies a budget surplus.

Trade Deficit: It is the excess of a country's imports over its exports. Mathematically, Trade Deficit = Value of Imports (M) - Value of Exports (X). A positive value indicates a deficit, while a negative value indicates a trade surplus.

We are given:

• Excess of private investment over saving (I - S) = Rs 2,000 crores
• Budget Deficit (G - T) = (-) Rs 1,500 crores (This indicates a budget surplus of Rs 1,500 crores)

The relationship between these aggregates can be understood through the national income identity. In an open economy, the trade deficit is related to domestic savings-investment gap and the budget deficit. A common macroeconomic identity is:

$$(M\; -\; X)\; =\; (I\; -\; S)\; +\; (G\; -\; T)$$

Substituting the given values:

Trade Deficit = (Rs 2,000 crores) + ((-) Rs 1,500 crores)

Trade Deficit = Rs 2,000 crores - Rs 1,500 crores

Trade Deficit = Rs 500 crores.

Therefore, the volume of trade deficit of that country was Rs 500 crores.

We are given the following data:

• GDP at Market Price (GDP_MP) = Rs 1,100 crores
• Net Factor Income from Abroad (NFIA) = Rs 100 crores
• Net Indirect Taxes (Indirect Taxes - Subsidies) = Rs 150 crores
• National Income (NNP_FC) = Rs 850 crores

National Income is Net National Product at Factor Cost (NNP_FC). The relationship between GDP_MP and NNP_FC is:

$$NNP\_\{FC\}\; =\; GDP\_\{MP\}\; -\; \backslash text\{Depreciation\}\; +\; \backslash text\{NFIA\}\; -\; \backslash text\{Net\; Indirect\; Taxes\}$$

Substituting the given values into the formula:

$$850\; =\; 1100\; -\; \backslash text\{Depreciation\}\; +\; 100\; -\; 150$$

Now, we need to solve for Depreciation:

$$850\; =\; 1100\; +\; 100\; -\; 150\; -\; \backslash text\{Depreciation\}$$

$$850\; =\; 1050\; -\; \backslash text\{Depreciation\}$$

Rearranging the terms to find Depreciation:

$$\backslash text\{Depreciation\}\; =\; 1050\; -\; 850$$

$$\backslash text\{Depreciation\}\; =\; 200$$

Therefore, the aggregate value of depreciation is Rs 200 crores.

We are given:

• Net National Product at Factor Cost (NNP_FC) = Rs 1,900 crores
• Personal Disposable Income (PDI) = Rs 1,200 crores
• Personal Income Taxes paid by households = Rs 600 crores
• Retained Earnings of firms and government = Rs 200 crores
• No interest payments between households and firms/government.

First, let's find the Personal Income (PI). Personal Disposable Income is Personal Income minus Personal Taxes.

$$PDI\; =\; PI\; -\; \backslash text\{Personal\; Taxes\}$$

Substituting the given values:

$$1200\; =\; PI\; -\; 600$$

Solving for Personal Income:

$$PI\; =\; 1200\; +\; 600\; =\; 1800$$

So, Personal Income is Rs 1,800 crores.

Next, we need to find the Private Income. Private Income includes all incomes accruing to the private sector. It is calculated as Personal Income plus Retained Earnings of Firms and Government.

$$Private\; Income\; =\; PI\; +\; \backslash text\{Retained\; Earnings\}$$

$$Private\; Income\; =\; 1800\; +\; 200\; =\; 2000$$

So, Private Income is Rs 2,000 crores.

Now, we relate Private Income to NNP_FC. NNP_FC is the income generated within the domestic territory of a country, accruing to residents and non-residents, before taxes and transfers. Private income is income of the private sector. The difference between NNP_FC and Private Income arises from the income of the government sector and transfer payments.

Assuming the government sector does not generate any factor income (NDP_FC of government sector = 0) and there are no corporate taxes mentioned that would affect private income calculation from NNPFC directly in this context, we can use the relationship:

$$Private\; Income\; =\; NNP\_\{FC\}\; -\; \backslash text\{Income\; of\; Government\; Sector\}\; +\; \backslash text\{Transfer\; Payments\}$$

Since the income of the government sector is assumed to be zero in this context (or already accounted for such that NNPFC represents total factor income), and there are no interest payments, we focus on transfer payments.

A more direct way to link is often through National Income (NNP_FC) and Private Income. If we consider NNP_FC as the total national income, and Private Income as the income of the private sector, the difference includes income generated by the government sector and transfer payments received by the private sector.

Given the structure and typical NCERT problems, the relationship is often simplified. Let's use the identity:

$$Private\; Income\; =\; NNP\_\{FC\}\; -\; \backslash text\{Income\; of\; Govt.\; Sector\}\; +\; \backslash text\{Transfer\; Payments\}$$

Assuming Income of Govt. Sector is 0 for simplicity in this context, and given no other adjustments like corporate tax affecting the direct link from NNPFC to Private Income in this specific problem's phrasing:

$$2000\; =\; 1900\; -\; 0\; +\; \backslash text\{Transfer\; Payments\}$$

Solving for Transfer Payments:

$$\backslash text\{Transfer\; Payments\}\; =\; 2000\; -\; 1900\; =\; 100$$

Therefore, the value of transfer payments made by the government and firms to the households is Rs 100 crores.

We need to calculate Personal Income (PI) and Personal Disposable Income (PDI).

First, let's calculate Private Income. Private Income is the income earned by the private sector. It can be calculated from Net Domestic Product at Factor Cost (NDP_FC) as follows:

$$Private\; Income\; =\; NDP\_\{FC\}\; -\; \backslash text\{Income\; of\; Govt.\; Sector\}\; +\; \backslash text\{Net\; Factor\; Income\; from\; Abroad\}\; +\; \backslash text\{Transfer\; Income\}\; +\; \backslash text\{Net\; Interest\; Received\; by\; Households\}$$

Assuming the Income of the Government Sector is zero for this calculation (as it's not provided and NDP_FC is given as the base):

Net Interest Received by Households = Interest Received by Households - Interest Paid by Households

$$=\; 1500\; -\; 1200\; =\; 300$$

Now, substitute the values into the Private Income formula:

$$Private\; Income\; =\; 8000\; -\; 0\; +\; 200\; +\; 300\; +\; 300$$

$$Private\; Income\; =\; 8000\; +\; 200\; +\; 300\; +\; 300\; =\; 8800$$

So, Private Income = Rs 8,800 crores.

Next, we calculate Personal Income (PI). Personal Income is Private Income adjusted for undistributed profits and corporation tax.

$$Personal\; Income\; (PI)\; =\; Private\; Income\; -\; Undistributed\; Profit\; -\; Corporation\; Tax$$

Substituting the values:

$$PI\; =\; 8800\; -\; 300\; -\; 500$$

$$PI\; =\; 8800\; -\; 800\; =\; 8000$$

So, Personal Income = Rs 8,000 crores.

Finally, we calculate Personal Disposable Income (PDI). Personal Disposable Income is the income available to households after paying personal taxes.

$$Personal\; Disposable\; Income\; (PDI)\; =\; Personal\; Income\; -\; Personal\; Tax$$

Substituting the values:

$$PDI\; =\; 8000\; -\; 400$$

$$PDI\; =\; 7600$$

So, Personal Disposable Income = Rs 7,600 crores.

Summary of Results:

• Private Income = Rs 8,800 crores
• Personal Income = Rs 8,000 crores
• Personal Disposable Income = Rs 7,600 crores