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MHT CET · Maths · Differential Equations

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

  1. A \(240000\)
  2. B \(160000\)
  3. C \(320000\)
  4. D \(640000\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(320000\)

Step-by-step Solution

Detailed explanation

\(P(t) = P_0 \cdot 2^{t/20}\) \(P(60) = 40000 \cdot 2^{60/20}\)
From MHT CET
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