The population of a town increases by 5 % ann | vedclass

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(D) Let the population in $1998$ be $P$.The population increases by $5 \%$ annually,so the population in $2001$ (after $3$ years) is given by the form

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$120000$

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(D) Let the population in $1998$ be $P$.The population increases by $5 \%$ annually,so the population in $2001$ (after $3$ years) is given by the formula $A = P(1 + r/100)^n$.Here,$A = 138915$,$r = 5$,and $n = 3$.$138915 = P(1 + 5/100)^3$$138915 = P(105/100)^3$$138915 = P(21/20)^3$$P = 138915 	imes (20/21)^3$$P = 138915 	imes (8000 / 9261)$$P = 15 	imes 8000 = 120000$.Thus,the population in $1998$ was $120000$.

The population of a town increases by $5 \%$ annually. If its population in $2001$ was $138915$,what was it in $1998$?

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