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]
