An investor purchased 220 shares of stock at $53.24 per share. She later sold it at $45.09. The broker's commission on the purchase was 3% and 1.7% on the sale. Find the amount of money the investor lost on the stock. Round to the nearest cent.

The investor lost

on the sale of the stock.

Let's calculate the amount of money the investor lost on the stock.

### 1. **Cost of Purchase:**
The investor bought 220 shares at $53.24 per share, and the broker's commission on the purchase was 3%.

- **Total Purchase Cost:**
\[
220 \times 53.24 = 11,712.80 \, \text{(without commission)}
\]

- **Broker's Commission on Purchase:**
\[
11,712.80 \times 0.03 = 351.38
\]

- **Total Purchase Price:**
\[
11,712.80 + 351.38 = 12,064.18
\]

### 2. **Revenue from Sale:**
The investor sold the stock at $45.09 per share, and the broker's commission on the sale was 1.7%.

- **Total Sale Revenue:**
\[
220 \times 45.09 = 9,919.80 \, \text{(without commission)}
\]

- **Broker's Commission on Sale:**
\[
9,919.80 \times 0.017 = 168.64
\]

- **Total Revenue from Sale:**
\[
9,919.80 - 168.64 = 9,751.16
\]

### 3. **Amount Lost:**
Now, subtract the total sale revenue from the total purchase price to find the loss.

\[
12,064.18 - 9,751.16 = 2,313.02
\]

Thus, the investor lost **$2,313.02** on the stock.

Would you like any further details?

Here are 5 related questions:
1. How would the loss change if the commission rates were different?
2. What would be the loss if the investor sold the stock at the same price they bought it?
3. How much would the investor have lost without any broker commissions?
4. How could different share quantities affect the loss?
5. What happens to the loss if the selling price was higher than the purchase price?

**Tip:** Always account for broker commissions when calculating stock purchase and sale costs.

An investor purchased 220 shares of stock at $53.24 per share. She later sold it at $45.09. The broker's commission on the purchase was 3% and 1.7% on the sale. Find the amount of money the investor lost on the stock. Round to the nearest cent.

Learn how to calculate the amount of money an investor lost after buying and selling 220 shares of stock with broker commissions. This step-by-step guide uses percentage, multiplication, and subtraction concepts. Suitable for students in Grades 8-10.

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