3. Marilyn purchased 400 shares of stock for $22.75 per
share. She sold them for $34.60 per share. Express
her capital gain on the nearest tenth of a percent.

Answer :

absor201

The percent gain is 52.1%

Step-by-step explanation:

Given

Purchase price of one share = $22.75

Sale price of one share = $34.60

Total shares = 400

So,

Total purchase price of shares = 22.75*400 = $9100

Total sale price of shares = 34.60*400 = $13840

Total capital gain:

[tex]= Sale\ price - Purchase\ price\\= 13840 - 9100\\=4740[/tex]

Percent capital gain is given by:

[tex]Capital\ gain = \frac{Capital\ gain}{Purchase\ price} * 100\\= \frac{4740}{9100} * 100\\=0.5208*100\\=52.08[/tex]

Rounding off to nearest tenth

52.1%

Hence,

The percent gain is 52.1%

Keywords: Percentage, capital gain

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