Vijay inherited huge wealth from his father and by establishing a soft drinks company, he squared his wealth. He started a company which manufactures airplane toys and incurred huge losses amounting to k (>0) times the wealth he inherited from his father. His total assets now stand at debt of 4 crore.
k is any value greater than or equal to 4
Let the wealth inherited by Vijay be x crores. His wealth became x2 because of the soft drinks company. But the toys manufacturing company brought a loss of kx. Now the wealth of Vijay will be x2−kx. This was mentioned to be equal to -4 crores
⇒x2−kx=−4
⇒x2−kx+4=0
For this scenario to be possible, D≥0⇒k2−16≥0
⇒k2≥16
⇒k≥4∵k>0
So the correct option is k is any value greater than or equal to 4.