The GDP in India is \( \$ 2.65 \) trillion. The rate of inflation is \( 2.5 \% \). If the population of India is \( 1,338,676,000 \), find the per capita GDP in this country. Real GDP \( = \) GDP \( -( \) GDP . Inflation Rate \( ) \) Per Capita GDP \( =\frac{\text { Reap cop }}{\text { Popultion }} \) Per Capita GDP \( =\$[?] \) Round to the nearest cent
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To calculate the Real GDP, first, we need to account for the inflation rate. The formula for Real GDP is: \[ \text{Real GDP} = \text{GDP} - (\text{GDP} \times \text{Inflation Rate}) \] Substituting the values: \[ \text{Real GDP} = 2.65 \, \text{trillion} - (2.65 \, \text{trillion} \times 0.025) \] \[ \text{Real GDP} = 2.65 \, \text{trillion} - 0.06625 \, \text{trillion} = 2.58375 \, \text{trillion} \] Next, we find the per capita GDP using the population: \[ \text{Per Capita GDP} = \frac{\text{Real GDP}}{\text{Population}} \] Substituting the values: \[ \text{Per Capita GDP} = \frac{2.58375 \, \text{trillion}}{1,338,676,000} \] \[ \text{Per Capita GDP} = \frac{2,583,750,000,000}{1,338,676,000} \approx 1,932.98 \] Thus, the per capita GDP in India is approximately **\$1,932.98** when rounded to the nearest cent!
