Step 1: Income segmentation as per slab
Total Income = Rs 5,00,000
Slab-wise:
First 1,50,000 → No tax
Next 1,50,000 (from 1,50,001 to 3,00,000) → 10%
Remaining 2,00,000 (from 3,00,001 to 5,00,000) → 20%
Step 2: Compute tax for each slab
\[
\text{10% on } 1,50,000 = \frac{10}{100} \times 1,50,000 = 15,000
\text{20% on } 2,00,000 = \frac{20}{100} \times 2,00,000 = 40,000
\]
Step 3: Add both
\[
15,000 + 40,000 = \boxed{55,000}
\]
% Final Answer
\[
\boxed{Rs\ 55,000}
\]