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\begin{tabular}{|c|l|c|c|c|}
\hline Name of Stock & Symbol & High & Low & Close \\
\hline Stock A & A & 105.19 & 103.25 & 103.38 \\
\hline Stock B & B & 145.18 & 143.28 & 144.05 \\
\hline
\end{tabular}

Last year, an investor purchased 115 shares of stock [tex]$A$[/tex] at [tex]$\$[/tex]90[tex]$ per share and 30 shares of stock $[/tex]B[tex]$ at $[/tex]\[tex]$145$[/tex] per share. What is the difference in overall loss or gain between selling at the current day's high price or low price?

A. The difference in overall gain is [tex]$\$[/tex]208.10[tex]$.
B. The difference in overall loss is $[/tex]\[tex]$208.10$[/tex].
C. The difference in overall gain is [tex]$\$[/tex]280.10[tex]$.
D. The difference in overall loss is $[/tex]\[tex]$280.10$[/tex].

Sagot :

GinnyAnswer
Let's solve this problem step-by-step by breaking it down into parts.

### Information Given:
1. Stock A
- Number of shares purchased: 115
- Purchase price per share: [tex]$90 - Current day's high price: $[/tex]105.19
- Current day's low price: [tex]$103.25 2. Stock B - Number of shares purchased: 30 - Purchase price per share: $[/tex]145
- Current day's high price: [tex]$145.18 - Current day's low price: $[/tex]143.28

### Step-by-Step Solution:

#### Calculate gain/loss for Stock A
1. At the high price:
[tex]\[ (\text{high price} - \text{purchase price}) \times \text{number of shares} \][/tex]
[tex]\[ (105.19 - 90) \times 115 = 1746.85 \][/tex]

2. At the low price:
[tex]\[ (\text{low price} - \text{purchase price}) \times \text{number of shares} \][/tex]
[tex]\[ (103.25 - 90) \times 115 = 1523.75 \][/tex]

#### Calculate gain/loss for Stock B
1. At the high price:
[tex]\[ (\text{high price} - \text{purchase price}) \times \text{number of shares} \][/tex]
[tex]\[ (145.18 - 145) \times 30 = 5.40 \][/tex]

2. At the low price:
[tex]\[ (\text{low price} - \text{purchase price}) \times \text{number of shares} \][/tex]
[tex]\[ (143.28 - 145) \times 30 = -51.60 \][/tex]

#### Calculate total gain/loss
1. Total gain at high prices:
[tex]\[ = 1746.85 + 5.40 = 1752.25 \][/tex]

2. Total gain at low prices:
[tex]\[ = 1523.75 + (-51.60) = 1472.15 \][/tex]

#### Calculate the difference in total gain/loss:
[tex]\[ \text{Difference} = \left| 1752.25 - 1472.15 \right| = 280.10 \][/tex]

### Conclusion:
The difference is related to gain because the gain at the high prices (1752.25) is higher than the gain at the low prices (1472.15).

Thus, the answer is:
[tex]\[ \boxed{\text{The difference in overall gain is \$280.10}} \][/tex]
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