Income Tax
1. **State the problem:**
Calculate the total income tax Mr Simba and his wife pay in one year based on their monthly incomes and given tax rates.
2. **Identify monthly incomes:**
Mr Simba's salary = $35000$
Wife's salary = $23000$
3. **Tax brackets per month:**
- First $9000$ taxed at $0\%$ (no tax)
- Next $3000$ taxed at $15\%$
- Any amount above $12000$ taxed at $30\%$
4. **Calculate Mr Simba's monthly tax:**
- First $9000$: tax = $0\% \times 9000 = 0$
- Next $3000$: tax = $15\% \times 3000 = 0.15 \times 3000 = 450$
- Remaining amount: $35000 - 9000 - 3000 = 23000$
- Tax on remaining: $30\% \times 23000 = 0.30 \times 23000 = 6900$
- Total tax per month for Mr Simba: $0 + 450 + 6900 = 7350$
5. **Calculate wife’s monthly tax:**
- First $9000$: tax = $0$
- Next $3000$: tax = $450$ (same as above)
- Remaining amount: $23000 - 9000 - 3000 = 11000$
- Tax on remaining: $30\% \times 11000 = 0.30 \times 11000 = 3300$
- Total tax per month for wife: $0 + 450 + 3300 = 3750$
6. **Sum monthly taxes:**
Total monthly tax = $7350 + 3750 = 11100$
7. **Calculate annual tax:**
Total annual tax = $11100 \times 12 = 133200$
**Final answer:**
They pay a total of **133200** in income tax per year.