Let the amount Sagar possesses be Rs. x.
∴ the amount Mukund possesses = Rs. (x + 50)
According to the given condition,
By using the property, if the product of two numbers is zero, then at least one of them is zero, we get
∴ x + 150 = 0 or x – 100 = 0
∴ x = -150 or x = 100
But, amount cannot be negative.
∴ x = 100 and x + 50 = 100 + 50 = 150
∴ The amount possessed by Sagar and Mukund are
Rs. 100 and Rs. 150 respectively.