1. **Stating the problem:**
We need to find the annual income of Janathika Maratha given the tax slabs and the total tax paid of 15000 rupees.
2. **Understanding the tax slabs:**
- First 500000 rupees: tax free (0%)
- Next 500000 rupees: taxed at 4%
- Next 500000 rupees: taxed at 8%
3. **Formula for tax calculation:**
Total tax = Tax on first slab + Tax on second slab + Tax on third slab
4. **Calculate tax for each slab:**
- Tax on first 500000 = $500000 \times 0 = 0$
- Tax on second 500000 = $500000 \times 0.04 = 20000$
- Tax on third 500000 = $500000 \times 0.08 = 40000$
5. **Check total tax if income is 1500000:**
Total tax = $0 + 20000 + 40000 = 60000$
6. **Given total tax is 15000, which is less than 60000, so income is less than 1500000.**
7. **Let the income be $x$. Since tax on first 500000 is zero, tax applies only on amount above 500000.**
8. **If $x$ is between 500000 and 1000000, tax is 4% on $(x - 500000)$.**
9. **Set up equation:**
$$15000 = 0.04 \times (x - 500000)$$
10. **Solve for $x$:**
$$x - 500000 = \frac{15000}{0.04} = 375000$$
$$x = 500000 + 375000 = 875000$$
**Final answer:** Janathika Maratha's annual income is **875000** rupees.
Annual Income Bf7466
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