Final answer:
Elliott will sell his shares at a price of $63.00 per share after a 20% increase.
Step-by-step explanation:
To calculate the selling price at a 20% gain, you can use the following formula:
[text{Selling Price} = text{Purchase Price} times (1 + text{Gain Percentage})]
In this case:
- (text{Purchase Price}) is $52.50 per share.
- (text{Gain Percentage}) is 20%, expressed as 0.20.
Now, substitute these values into the formula:
[text{Selling Price} = 52.50 times (1 + 0.20)]
[text{Selling Price} = 52.50 times 1.20]
[text{Selling Price} = 63.00]
Therefore, Elliott plans to sell his shares at a price of $63.00 per share when the price rises by 20%.