MHT CET 2025 Mathematics question

MathematicsDifferential EquationMHT CET 2025

The population of a town increases at a rate proportional to the population at that time. If the population increases from forty thousand to eighty thousand in 20 years, then the population in another 40 years will be

Answer: (C)

Solution

Rate proportional to population gives , so . From we get , i.e. the population doubles every 20 years. After a further 40 years (two more doubling periods) the population is $80000×

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Question ID VK-102260