A business person invested $3600.00 in stock. when he sold the stock he made $30.00 in profit for each share of stock he purchased. if his total profit was $2400.00 how many shares of stock did he purchase?

Given:

$3,600 initial investment in stock

$30 profit for each share upon selling of the stock

$2,400 total profit

2,400 = 30x

2,400/30 = x

80 = x

He purchased 80 shares.

3,600/80 = 45 purchase price per share.

45 + 30 = 75 selling price per share

total profit = sales - cost

2,400 = (75*80) - 3,600

2,400 = 6,000 - 3,600

2,400 = 2,400