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Population of Patna city is 96,000, the decreasing rate of population is 800 per year. Population of Patliputra is 68,000, the increasing rate of population is 1200 per year. In how many years will the population of both places be equal?

Population of Patna city is 96,000, the decreasing rate of population is 800 per year. Population of Patliputra is 68,000, the increasing rate of population is 1200 per year. In how many years will the population of both places be equal? Correct Answer 14

Let the population of both places will be equal in x years

So, according to the question,

96000 - 800x = 68000 + 1200x

⇒ 2,000x = 28,000

∴ x = 14 years

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