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(C) Let the population $2$ years ago be $P$.Given that the population increases by $12 \%$ in the first year and decreases by $10 \%$ in the second ye

Vedclass · Accepted Answer

$50000$

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(C) Let the population $2$ years ago be $P$.Given that the population increases by $12 \%$ in the first year and decreases by $10 \%$ in the second year.The present population $A$ is given by the formula:$A = P 	imes (1 + \frac{12}{100}) 	imes (1 - \frac{10}{100})$Substituting the given values:$50400 = P 	imes (1.12) 	imes (0.90)$$50400 = P 	imes (1.12 	imes 0.90)$$50400 = P 	imes 1.008$$P = \frac{50400}{1.008}$$P = 50000$Therefore,the population $2$ years ago was $50000$.

The population of a town increases by $12 \%$ during the first year and decreases by $10 \%$ during the second year. If the present population is $50400$,what was it $2$ years ago?

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