If the rate of income tax increases by 18%, net income decreases by 2%. What was the rate of income tax?
If the rate of income tax increases by 18%, net income decreases by 2%. What was the rate of income tax?
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Given:
– The rate of income tax increases by 18%.
– The net income decreases by 2%.
1. The increase in income tax as a percentage of net income is:
\[ \frac{\text{Increase in income tax}}{\text{Net income}} = \frac{2\%}{18\%} = \frac{1}{9} \]
2. Let’s denote the income tax as \(x\) and the net income as \(9x\).
3. The total income is the sum of income tax and net income:
\[ \text{Total income} = x + 9x = 10x \]
4. The rate of income tax is the income tax divided by the total income:
\[ \text{Rate of income tax} = \frac{x}{10x} \times 100\% = 10\% \]
Conclusion:
The rate of income tax was 10%.