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Worked Examples · Example 14

Q.The national income of a country is ₹40,00,000 crore and its population is 140 crore. Calculate its per capita income.

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Formula:

Per Capita Income=National IncomePopulation\text{Per Capita Income} = \dfrac{\text{National Income}}{\text{Population}}

Given: National Income = ₹40,00,000 crore; Population = 140 crore.

Solve (first pass):

PCI=40,00,000140=28,571.43 (in ₹, since crore/crore cancels)\text{PCI} = \dfrac{40,00,000}{140} = 28,571.43 \text{ (in ₹, since crore/crore cancels)}

Independent verification (second pass): Check by multiplying back: 28,571.43×140=39,99,999≈40,00,00028,571.43 \times 140 = 39,99,999 \approx 40,00,000 crore — within rounding, confirming the division. The two passes agree, so the figure is accepted.

✓Final answer

Per capita income = ₹40,00,000 crore ÷ 140 crore ≈ ₹28,571.43.

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