Question

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 10%, he buys another 20 shares. The shares then all increase by 50%. Determine the total dollar value of the 30 shares that Ajax now owns.

Answer 1

Attached a solution and showed work.

Answer 2

$972

Explanation:

Ajax buys 20 shares of stock at $20.

The cost of 20 shares = 20 × $20 = $400

The shares increase in value by 20%

Now the cost of 20 shares = 400 + (20%×400)

= 400 + 80

= $480

Cost per share =
`(480)/(20)` = $24

He sells 10 shares = $20 × 10 = $240

Now he has 10 share costs $240

After the shares decrease in value by 10%, he buys another 20 shares.

Cost per shares after decrease by 10% = 24 - (10%×24)

= 24 - 2.40

= $21.60

He buys 20 shares and his remaining 10 shares = 20 + 10 = 30 shares

Cost of 30 shares = 21.60 × 30 = $648

The shares then all increase by 50% = 648 + (50% × 648)

= 648 + (0.5 × 648)

= 648 + 324

= $972

The total value of the 30 shares that Ajax own is $972