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Answer :
- Calculate the increase in value: $4000 - $3600 = $400.
- Divide the increase by the initial cost: $400 / $3600 = 1/9.
- Multiply by 100% to get the percent increase: (1/9) * 100% = 11.11%.
- The percent increase is approximately $\boxed{11.11\%}$.
### Explanation
1. Understanding the Problem
We are asked to find the percent increase in the value of stock shares that were purchased for $3600 and sold for $4000. The percent increase is calculated as the increase in value divided by the initial cost, multiplied by 100%.
2. Calculating the Increase in Value
First, we need to calculate the increase in value. This is the selling price minus the initial cost: $$Increase = Selling\\,Price - Initial\\Cost = $4000 - $3600 = $400$$.
3. Calculating the Percent Increase
Next, we calculate the percent increase by dividing the increase in value by the initial cost and multiplying by 100%:$$Percent\\Increase = \frac{Increase}{Initial\\Cost} \times 100\% = \frac{$400}{$3600} \times 100\% = \frac{1}{9} \times 100\% = 11.1111...\%$$.
4. Final Answer
Therefore, the percent increase is approximately 11.11%.
### Examples
Understanding percent increase is crucial in finance for evaluating investment performance. For example, if you invest $10,000 in a mutual fund and after a year your investment grows to $11,000, the percent increase helps you quantify your return. Similarly, businesses use percent increase to track sales growth, compare revenue across different periods, and assess the effectiveness of marketing campaigns, providing valuable insights for strategic decision-making.
- Divide the increase by the initial cost: $400 / $3600 = 1/9.
- Multiply by 100% to get the percent increase: (1/9) * 100% = 11.11%.
- The percent increase is approximately $\boxed{11.11\%}$.
### Explanation
1. Understanding the Problem
We are asked to find the percent increase in the value of stock shares that were purchased for $3600 and sold for $4000. The percent increase is calculated as the increase in value divided by the initial cost, multiplied by 100%.
2. Calculating the Increase in Value
First, we need to calculate the increase in value. This is the selling price minus the initial cost: $$Increase = Selling\\,Price - Initial\\Cost = $4000 - $3600 = $400$$.
3. Calculating the Percent Increase
Next, we calculate the percent increase by dividing the increase in value by the initial cost and multiplying by 100%:$$Percent\\Increase = \frac{Increase}{Initial\\Cost} \times 100\% = \frac{$400}{$3600} \times 100\% = \frac{1}{9} \times 100\% = 11.1111...\%$$.
4. Final Answer
Therefore, the percent increase is approximately 11.11%.
### Examples
Understanding percent increase is crucial in finance for evaluating investment performance. For example, if you invest $10,000 in a mutual fund and after a year your investment grows to $11,000, the percent increase helps you quantify your return. Similarly, businesses use percent increase to track sales growth, compare revenue across different periods, and assess the effectiveness of marketing campaigns, providing valuable insights for strategic decision-making.
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