Question

Vijay inherits his father's wealth and squared it by starting a soft drinks company. He then starts a company which manufactures airplane toys and incurs losses amounting to $k(>0)$ times the wealth he inherits. If his total assets stand at the debt of 4 crores, then the equation representing the situation is ___.

• A. $x^2-4x+4=0$
• B. $x^2-kx+4=0$
• C. $k{x}^2-kx-4=0$
• D. $x^2-kx-k=0$

Answer 1

The correct option is B $x^2-kx+4=0$

Let the wealth inherited by Vijay be $x$ crores. His wealth became $x^2$ crores due to the soft drinks company. But the toys manufacturing company brought him a loss of $kx$ crores. Thus, money left with him equals $x^2-kx,$ which is equal to 4 crores debt, by question.
i.e., $x^2-kx=-4$
$\Rightarrow x^2-kx+4=0$