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.

Guest Jan 1, 2022

#1**0 **

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.

Guest Jan 4, 2022