The balance sheet of Hilton Company included the following shareholders' equity accounts at December $31,2023$:

Common stock, $200,000$ shares at $$1$ par

$$200,000$

Paid$-$in capital$---$excess of par

$1,200,000$

Retained earnings

$900,000$

Total shareholder' equity

$$2,300,000$

During $2024,$ the following transactions occurred:

On May $3,2024,$ a $5-$for$-4$ stock split was declared and distributed. The stock splitwas effected in the form of a $25\%$ stock dividend. The market value of the $$1$ par common stock was $$10$ per share.

On July $5,2024,$ a $4\%$ common stock dividend was declared and distributed. The market value of the common stock was $$12$ per share.

On December $1,2024,$ the board of directors declared a cash dividend of $$0\mathrm{.}5$ per share on its common shares, payable on December $28$ to shareholders.

Determine the amount of cash dividend paid to shareholders on December $28,2024$:

$$110,000$

$$100,000$

$$120,000$

$$130,000$