Explanation:

- On Monday, the gold coin decreased by 10%. If $x$ is the initial price, it becomes:

$$ \text{Price on Monday} = x - 0.1 \times x = 0.9x $$

- On Tuesday, it increased by 20%:

$$ \text{Price on Tuesday} = 0.9x \times 1.2 = 1.08x $$

- On Wednesday, it increased by 8%:

$$ \text{Price on Wednesday} = 1.08x \times 1.08 = 1.1664x $$

- On Thursday, it increased by 5%:

$$ \text{Final Price on Thursday} = 1.1664x \times 1.05 = 1.22472x $$

- We know the final price on Thursday is Rs 5511.24:

$$ 1.22472x = 5511.24 $$

- Solving for $x$:

$$ x = \frac{5511.24}{1.22472} \approx 4500 $$

- The initial price on Monday is Rs 4500.

- Option 3: 4500 is the correct choice.