Bunuel wrote:

Company A owns 40 percent of the stock in the XYZ Corporation. Company B owns 15,000 shares. Company C owns all the shares not owned by company A or B. How many shares of stock does company A own if company C has 25 percent more shares than company A?

(A) 45,000

(B) 50,000

(C) 60,000

(D) 75,000

(E) 90,000

Let the total shares of XYZ corporation be x.

Since Company A owns 40% of the stock, it must own 0.4x of the share

It has been given that the Company B has 15000 shares

Company C owns the remaining shares, which is \(x - (0.4x + 15000) = 0.6x - 15000\)

Now, we know that the Company C owns 25% more shares than company A

\(0.6x - 15000 = \frac{5}{4}(0.4x)\) => \(4(0.6x - 15000) = 2x\) => \(2.4x - 60000 = 2x\) => \(0.4x = 60000\)

Therefore, \(x = \frac{60000}{0.4} = 150000\)

The company A owns

0.4x or 60000 shares

(Option C)
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