Explanation:

- Let's denote the original price per kg of the item as Rs x.

- After a 20% reduction, the new price becomes Rs 0.8x per kg.

- With Rs 360, at the reduced price, you can purchase more of the item.

- The difference in the quantity due to the reduction is 2 kg.

- This can be set up as the equation: $\frac{360}{0.8x}-\frac{360}{x}=2$.

- Solving this equation gives:

$$

\frac{360}{0.8x} - \frac{360}{x} = 2

$$

$$

\frac{450}{x} - \frac{360}{x} = 2

$$

$$

\frac{90}{x} = 2

$$

$$

x = 45

$$

- Option 2, Rs 45, is the correct answer.

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