Asif123 wrote:
An investor bought n shares of Company X stock at $75 per share. She sold 60 percent of the shares for $120 per share and the rest at a later date for $70 per share. If her gross profit on the sale of the n shares of stock was $7,500, how many shares did she buy?
(A) 375 (B) 300 (C) 100 (D) 95 (E) 75
Assuming n is the number of shares we can write that the gross sale proceeds are the following:
0.6n*120 + 0.4n*70
Since the gross profit is equal to $7,500 then investor get that $7,500 on top of the originally invested 75n dollars. We get our equation:
0.6n*120 + 0.4n*70 = 7,500 + 75n
25n = 7,500
n= 300