Ajax buys 20 shares of stock at $\$20$ per share. The shares increase in value by $20\%$. He then sells 10 shares. After the shares decrease in value by $15\%$, he buys another 20 shares. The shares then all increase by $60\%$. Determine the total dollar value of the 30 shares that Ajax now owns.
20 shares at $20
The cost of 20 shares = 20 * $20 = $400
Increase in by 20% = 400 + (20% * 400) = $480
Cost per share = 480/20 = $24
Sells to shares = $20 * 10 = $240
Cost per shares after decrease by 10% = 24 - (10% * 24) = $21.60
Buys 20 and remaining shares = 20 + 10 = 30 shares
Cost of 30 shares = 21 * 60 * 30 = $648
Increased by 50% = 648 + (50% * 648) = $972
The total value of the 30 shares that Ajax own is $972.