Benjamin lose money on this share of stock and the amount of loss is [tex] 0.45P [/tex] dollar
Explanation
Original value of the share of stock is P dollar and on the next day, the value of the stock decreased by 50%. So...
The value of the stock on second day [tex] =P- (P*0.50)= P-0.50P =0.50P [/tex] dollar
Now on the third day, he sold the share at 10% more than its value on the second day.
So, the value on third day [tex] =0.50P+(0.50P*0.10)= 0.50P +0.05P = 0.55P [/tex] dollar
As the original value was P dollar and he sold the share at 0.55P dollar and [tex] 0.55P< P [/tex], that means he lose money on this share of stock and the amount of loss is [tex] (P-0.55P)dollar = 0.45P [/tex] dollar
