Let's go through the problem step-by-step to determine Caroline's profit if she sold her shares.
1. Determine the purchase price per share:
Caroline bought the shares at [tex]$10 \frac{1}{2}$[/tex] per share.
- This can be converted to a decimal form: [tex]$10 + 0.5 = \$[/tex]10.5[tex]$ per share.
2. Determine the selling price per share:
After 10 months, the value of each share is $[/tex]11 \frac{1}{4}[tex]$.
- This can be converted to a decimal form: $[/tex]11 + 0.25 = \[tex]$11.25$[/tex] per share.
3. Calculate the profit per share:
The profit for each share is the selling price minus the purchase price:
- Profit per share = [tex]$11.25 - $[/tex]10.5 = \[tex]$0.75$[/tex] per share.
4. Calculate the total profit:
Caroline bought 20 shares. Therefore, her total profit is:
- Total profit = Number of shares × Profit per share
- Total profit = 20 × [tex]$0.75 = \$[/tex]15.0[tex]$.
Hence, if Caroline were to sell all her shares, she would make a profit of $[/tex]15.
Therefore, the best answer is:
B. [tex]$\$[/tex] 15$
