105k views
1 vote
Allen owns 70% of Bull Corp. If the company has 721,250 shares,

3. How many shares does Allen own?
4. If he paid $21.45 per share what was his initial total investment?
5. If the shares are now worth $60.18, what are shares total value now?
6. What would be his capital gain if he sold his shares at the new value?

User Figueroa
by
8.6k points

1 Answer

6 votes

Answer:

3. 504,875 shares

4. $10,829,568.75

5. $30,383,377.5

Explanation:

1. For the first one, you just need to find 70% of 721,250, which we can do several ways:

If Allen owns 70% of Bull Corp, he owns 0.7 x 721,250 = 504,875 shares.

Therefore, Allen owns 504,875 shares of Bull Corp.

you can use cross-multiplication to solve this problem as well. Here's how:

Let X be the number of shares that Allen owns.

According to the problem, Allen owns 70% of the total number of shares, which is 721,250.
So we can write:

X/721,250 = 70/100

To solve for X, we can cross-multiply:

100X = 70 * 721,250

Simplifying the right-hand side:

100X = 50,487,500

Dividing both sides by 100:

X = 504,875

Therefore, Allen owns 504,875 shares of Bull Corp, which is the same answer we got earlier.

I added a picture below.


2. If Allen paid $21.45 PER share we just multiply that by he amount of shares, which is 504,875:

If Allen owns 504,875 shares of Bull Corp, and he paid $21.45 per share, his initial total investment would be:

Total investment = Number of shares * Price per share

Total investment = 504,875 * $21.45

Total investment = $10,829,568.75

Therefore, Allen's initial total investment was $10,830,093.75.
i added a picture for this too.


3. Just replace the 21.45 with 60.18:

If the shares are now worth $60.18, the total value of Allen's shares would be:

Total value = Number of shares * Current price per share

Total value = 504,875 * $60.18

Total value = $30,383,377.5

Therefore, the total value of Allen's shares now is $30,382,078.50.

Added a picture.

Allen owns 70% of Bull Corp. If the company has 721,250 shares, 3. How many shares-example-1
Allen owns 70% of Bull Corp. If the company has 721,250 shares, 3. How many shares-example-2
Allen owns 70% of Bull Corp. If the company has 721,250 shares, 3. How many shares-example-3
User Theorise
by
8.1k points