Methods of calculating national income - Value Added/Product Method

The old machine is a second-hand asset, so its sale is excluded from current production. The brokerage service is produced during the current year and remains included. Current-output sales are ₹18,00,000 − ₹1,20,000 = ₹16,80,000. Adding the increase or decrease in stock gives value of output = ₹16,80,000 + ₹50,000 − ₹90,000 = ₹16,40,000. Therefore, the correct answer is not represented by the original options; option A has been corrected to ₹16,40,000.

To convert NVA at factor cost into GVA at market price, first add depreciation because gross value includes consumption of fixed capital, and then add net indirect tax. Thus, GVA₍MP₎ = NVA₍FC₎ + depreciation + net indirect tax = ₹12,40,000 + ₹1,60,000 − ₹45,000 = ₹13,55,000. Therefore, option A is correct.

Under the value-added method, the value of the final product equals the sum of value added at every stage of production and distribution. Intermediate sales are not added separately because that would count the same output more than once. Therefore, final-good value = ₹32,000 + ₹18,000 + ₹25,000 + ₹15,000 = ₹90,000, so option C is correct.

The security company’s output is valued at the service fee of ₹40,000. Uniforms are an intermediate input used in providing the service, so they must be deducted. Wages are a payment to a factor of production and are part of the value created, not an intermediate input. Hence GVA₍MP₎ = output − intermediate consumption = ₹40,000 − ₹4,000 = ₹36,000. Option B is correct.

Market-price valuation is obtained by adding net indirect taxes to GVA at factor cost. Net indirect tax equals product tax plus production tax minus subsidies: ₹80,000 + ₹30,000 − ₹20,000 = ₹90,000. Therefore, GVA₍MP₎ = ₹6,75,000 + ₹90,000 = ₹7,65,000. The subsidy is subtracted because it lowers the market price relative to factor cost. Hence, option A is correct.

Add the net value added at factor cost of all three sectors to obtain domestic income: ₹1,250 crore + ₹1,980 crore + ₹2,770 crore = ₹6,000 crore. Then add NFIA to convert domestic income into national income. Since NFIA is negative, national income = ₹6,000 crore + (−₹150 crore) = ₹5,850 crore. Therefore, option B is correct.

The sale of an old machine is not current production; it is a transaction in an existing asset, so ₹2,00,000 must be removed from the incorrectly calculated output. Brokerage is a current service and should be included, so ₹20,000 must be added. Net correction = −₹2,00,000 + ₹20,000 = −₹1,80,000. Thus, the reported value of output must be reduced by ₹1,80,000.

GVA at market prices is a gross measure because it includes depreciation, and it is valued at market prices because it includes net indirect taxes. Subtracting only depreciation changes the measure from gross to net, but it remains at market prices. Hence, the result is NVA at market prices. Net indirect tax must also be subtracted to obtain NVA at factor cost.

Domestic income is based on the location of production, whereas national income is based on the ownership or normal residence of production factors. Because the factory operates within the domestic economic territory, its production and value added are first included in domestic income. The income attributable to foreign factors may later be considered while moving from domestic income to national income through the relevant foreign-income adjustment.

The old house itself was produced in an earlier year, so its entire resale value is not counted again in current national output; doing so would cause double counting. However, the broker provides a new economic service in the current year. The commission is therefore included as the current year's output and value added of brokerage services. It is not a transfer payment because it is received in exchange for a service.

To convert GVA at market prices into NVA at factor cost, two adjustments are required. First, subtract depreciation to change the gross measure into a net measure. Second, subtract net indirect tax, which equals product tax minus product subsidy, to move from market prices to factor cost. Therefore, NVA₍FC₎ = GVA₍MP₎ − Depreciation − (Product tax − Product subsidy).

GVA at market prices is calculated as the value of output minus intermediate consumption. Wages paid to workers are factor payments and form part of the income generated by production; they are not purchases of intermediate goods or services. Since ₹2,00,000 of wages was wrongly deducted as intermediate consumption, that amount must be added back to the reported figure: ₹10,00,000 + ₹2,00,000 = ₹12,00,000. Thus, option A is correct.

First convert NVA at factor cost into GVA at market prices: GVA_MP = NVA_FC + depreciation + net indirect taxes = ₹11,40,000 + ₹1,60,000 + ₹70,000 = ₹13,70,000. Since GVA_MP = output − intermediate consumption, intermediate consumption is ₹25,00,000 − ₹13,70,000 = ₹11,30,000.

Under the value-added method, the value of final goods should equal the sum of value added created at every stage, provided the accounting period, prices, and coverage are consistent. If the figures differ, the usual causes include counting intermediate goods as final goods, omitting an intermediate transaction, or recording inventories and stock changes incorrectly. Therefore, an error in classification or stock adjustment is the most likely explanation, making option A correct.

Illegal and informal activities are often unregistered, cash-based, or deliberately concealed. Consequently, production, sales, input costs, and incomes may not appear in official records. The value added method therefore faces incomplete, underreported, and potentially unreliable data, making estimation difficult. The formulas still exist, intermediate consumption remains relevant, and taxes do not automatically become zero.

National income is an economy-wide aggregate, not the income of one firm. A single firm’s GVA at market prices must first be adjusted for depreciation and net indirect taxes to obtain its NVA at factor cost, and the NVA at factor cost of all domestic sectors must then be aggregated. Only after obtaining domestic factor income is NFIA added to move from domestic to national income.

The safest procedure is to classify every item first, calculate the value of output, and subtract intermediate consumption to obtain GVA at market prices. Then subtract depreciation to obtain NVA at market prices, and subtract net indirect taxes to obtain NVA at factor cost. This sequence prevents confusion between stocks, inputs, factor payments, depreciation, and taxes.

First calculate the value of output: sales + change in stock + own-use production = ₹18,40,000 + (₹2,80,000 − ₹3,25,000) + ₹75,000 = ₹18,70,000. GVA at market prices equals value of output minus intermediate consumption, so ₹18,70,000 − ₹9,60,000 = ₹9,10,000. Therefore, option A is correct.

Net indirect tax equals product tax plus production tax minus subsidies: ₹1,40,000 + ₹60,000 − ₹90,000 = ₹1,10,000. To convert GVA at market prices into NVA at factor cost, subtract depreciation and net indirect tax: ₹13,50,000 − ₹1,80,000 − ₹1,10,000 = ₹10,60,000. Hence option A is correct.

GVA is calculated as value of output minus intermediate consumption. Wages are factor payments and must not be included in intermediate consumption. Because the firm wrongly deducted ₹3,20,000 as an input, its reported GVA is understated by that amount. Correct GVA = reported GVA + wrongly deducted wages = ₹8,40,000 + ₹3,20,000 = ₹11,60,000.

Receipts from selling an old asset are capital receipts and do not represent current production, so ₹2,50,000 is excluded. Current-year repair service income is part of output and remains included. Adjusting for inventory change gives value of output = (₹24,00,000 − ₹2,50,000) + (₹1,10,000 − ₹1,60,000) = ₹22,00,000.

To convert NVA at factor cost into GVA at market price, first add depreciation to change net value into gross value and then add net indirect tax to change factor cost into market price: GVA₍MP₎ = NVA₍FC₎ + depreciation + NIT. Thus, ₹9,30,000 + ₹1,25,000 − ₹35,000 = ₹10,20,000. The negative NIT reduces the final amount.

The sale of an old machine must be removed because it is a resale of an asset produced in an earlier year, not current production. The installation service must be added because it is a service provided during the current year. Thus, net correction = −₹3,40,000 + ₹55,000 = −₹2,85,000. The reported value of output must therefore be reduced by ₹2,85,000, making option A correct.

GVA at market prices includes the effect of product taxes and excludes the beneficial effect of subsidies in the usual valuation framework. To convert it to GVA at factor cost, net indirect tax is deducted. Net indirect tax equals indirect taxes minus subsidies, so the equivalent operation is to deduct taxes and add subsidies. Depreciation, intermediate consumption, and NFIA are unrelated to this particular valuation adjustment.

First calculate the value of output by adjusting sales for the change in stock: ₹42 lakh + ₹7 lakh − ₹9 lakh = ₹40 lakh. Gross value added at market price is ₹40 lakh − ₹18 lakh = ₹22 lakh after deducting intermediate consumption. Finally, deduct depreciation of ₹3 lakh to obtain NVA at market price: ₹22 lakh − ₹3 lakh = ₹19 lakh. Hence, option A is correct.