Tricky percent problem

At the beginning of 2009, Kim bought 100 shares of stock in a company at a price of 31$ per share. During the year, the price of the stock changed daily; the highest was 35$ per share and the lowest price was 25$ per share. If Kim sold all 100 share of stock on the same day in 2009, which of the following could be her percent profit or percent loss on the sale?

Indicate all such percent profits or percent losses.

A) 15% loss
B) 10% loss
C) 10% profit
D) 15% profit

(Is none of the answers correct? The question says price of stock changes daily; shouldn’t we assume that if Kim sold all of the stocks on the same day. Hence, he didn’t lose nor gained any money. )

They have given that the price of stock change daily. So, if she bought at $$ 31, 1. It could have gone to $$ 35 which indicates a max profit of 12.9% or 2. It could have gone to 25 $ which indicates a loss of 19.35%

So the range of possible values will be between them. So option A,B,C are correct.

1 Like