MHT CET 2025 Mathematics question

MathematicsDifferential EquationMHT CET 2025

The assets of a person 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 ₹ 10 lakhs and due to loss they reduce to ₹ 10000 after 3 years, then the number of years required for the person to be bankrupt will be

Answer: (B)

Solution

Let be the assets at time (years): . Separating, , so . At , so , giving . At , so : , hence $k

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Question ID VK-102004