Carl paid an income tax of \(\$3\ 532\) for the year of assessment (YA) \(2022\). Of his gross annual income, the amount that will not be subjected to income tax is shown in the following table:
| Item | Amount of Money |
|---|---|
| Earned Income Relief | \(\$3000\) |
| Wife Relief | \(\$2000\) |
| Child Relief | \(\$4000\) per child |
| Parent Relief | \(\$5500\) per parent |
| Central Provident Fund (CPF) Contributions | \(20\%\) of gross income |
| Donations | \(\$540\) |
Given that Carl has a wife, \(2\) children and \(2\) parents, and that for his chargeable income, the gross tax payable for the first \(\$40\ 000\) is \(\$550\) and the tax rate for the rest is \(7\%\). Find his gross annual income.
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