MHT CET 2024 Mathematics question

MathematicsDifferential EquationMHT CET 2024

The assets of a person are reduced in his business such that the rate of reduction is proportional to the square root of the existing assets. If the assets were initially Rs10,00,000 and due to loss they reduce to Rs10,000 after 3 years, then the number of years required for the person to go bankrupt will be

Answer: (A)

Solution

Let the assets be at time (years). Then with . Separating: . At , : . At , : . Bankruptcy means : $0=2000-600t⇒

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Question ID VK-099898