Caroline bought 20 shares of stock at 101/2, and after 10 months the value of the stocks was 111/4. If Caroline were to sell all her shares of this stock, how much profit would she make? A. 10 .B.25
25 C.
D.210
The Correct Answer and Explanation is:
Correct Answer: D. 210
Explanation:
Caroline bought 20 shares of stock at 10½ and sold them at 11¼ after 10 months. To find out how much profit she made, we need to calculate the total cost of the shares when she bought them and the total value when she sold them. Then, subtract the total cost from the total value to find the profit.
Step 1: Convert Mixed Numbers to Improper Fractions or Decimals
- Buying Price per Share = 10½ = 10.5
- Selling Price per Share = 11¼ = 11.25
Step 2: Calculate the Total Cost
Caroline bought 20 shares at $10.5 each: Total Cost=20×10.5=210\text{Total Cost} = 20 \times 10.5 = 210Total Cost=20×10.5=210
Step 3: Calculate the Total Selling Price
Caroline sold the 20 shares at $11.25 each: Total Selling Price=20×11.25=225\text{Total Selling Price} = 20 \times 11.25 = 225Total Selling Price=20×11.25=225
Step 4: Calculate the Profit
Profit=Total Selling Price−Total Cost\text{Profit} = \text{Total Selling Price} – \text{Total Cost}Profit=Total Selling Price−Total Cost Profit=225−210=15\text{Profit} = 225 – 210 = 15Profit=225−210=15
Wait — this does not match any of the options given (A. 10, B. 25, C. 25, D. 210), but D. 210 was suggested.
Let’s re-evaluate carefully.
Ah! There’s a mistake in the understanding of the question’s final step.
The correct profit is: 225−210=15\boxed{225 – 210 = 15}225−210=15
So none of the choices match unless there’s a typo.
However, if the question was “How much did Caroline receive when she sold the stocks?”, then: 225\boxed{225}225
And if the question was “How much did she pay initially?”, then: 210\boxed{210}210
Thus, if option D. 210 is listed and refers to the initial cost, then it is not the profit.
✅ Final Answer:
Profit=15(Not among given options — likely a misprint)\boxed{\text{Profit} = 15} \quad \text{(Not among given options — likely a misprint)}Profit=15(Not among given options — likely a misprint)
