Let, the companies annual income be x.
Donation budget = 5% of x.
Hence, Donation = [tex]\frac{5}{100} x= \frac{1}{20} x[/tex] ... (1)
Taxes represent 12% after deducting donations.
Hence, taxes is shown as [tex]\frac{12}{100} (x-\frac{x}{20} ) = \frac{12}{100} (\frac{19x}{20} )[/tex] ... (2)
Bonus is 14% after deducting the donations and taxes.
[tex]\frac{14}{100} (x-\frac{12}{100} (\frac{19x}{20} ))[/tex]
Bonus = $ 75000
[tex]75000=\frac{14}{100} (x-\frac{12}{100} (\frac{19x}{20} ))[/tex]
[tex]75000=\frac{14}{100} (x-\frac{228x}{2000} )[/tex]
[tex]75000=\frac{14}{100} (\frac{2000x-228x}{2000} )[/tex]
[tex]75000=\frac{14}{100} (\frac{1772x}{2000} )[/tex]
[tex]75000=\frac{24808x}{200000}[/tex]
x= $ 604643.66
Annual income of the company is $ 604643.66