The population of a country is 10 crore and i | vedclass

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(C) Given,initial population $P = 10$ crore.Population after $n = 3$ years $A = 13.31$ crore.The formula for population growth is $A = P(1 + \frac{R}{

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$10$

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(C) Given,initial population $P = 10$ crore.Population after $n = 3$ years $A = 13.31$ crore.The formula for population growth is $A = P(1 + \frac{R}{100})^n$.Substituting the values: $13.31 = 10(1 + \frac{R}{100})^3$.Dividing both sides by $10$: $\frac{13.31}{10} = (1 + \frac{R}{100})^3$.$1.331 = (1 + \frac{R}{100})^3$.Since $1.331 = (1.1)^3$ or $(\frac{11}{10})^3$,we have $(1.1)^3 = (1 + \frac{R}{100})^3$.Taking the cube root on both sides: $1.1 = 1 + \frac{R}{100}$.Subtracting $1$ from both sides: $0.1 = \frac{R}{100}$.Therefore,$R = 0.1 	imes 100 = 10 \%$.The annual growth rate is $10 \%$.

The population of a country is $10$ crore and it is expected that the population will become $13.31$ crore in $3$ years. What will be the annual growth rate in percent?

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