surupab
An investor purchased 100 shares of stock X at 6 1/8 dollars per share and sold them all a year later at 24 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment?
(A) 92%
(B) 240%
(C) 280%
(D) 300%
(E) 380%
For ease of calculations lets consider purchase price = 6 per share and sale price = 24 per share
Investment value = 6 * 100 = 600
Brokerage on investment = 600*0.02 = 12
Sale value = 24*100 = 2400
Brokerage on sale = 2400*0.02 = 48
Total profit = 2400 - 600 - 12 - 48 = 1740
% profit over investment = 1740 / 600 * 100 = 290%
Now we have 280% as one option and 300% as another. We will choose the former as we ignored the 1/18 in the purchase price which will surely bring the profit down.
Hence, Ans = C = 280%