This problem involves linear depreciation. The vase’s value decreases by Rs.2,000 each year.
The formula for the number of years needed to reach a specific value is:
Number of Years = $\frac{\text{Initial Value - Final Value}}{\text{Annual Depreciation}}$.
Given:
Initial Value = Rs. 36,000,
Final Value = Rs. 6,000,
Annual Depreciation = Rs. 2,000.
Substitute into the formula:
Number of Years = $\frac{\text{Rs. 36,000 - Rs. 6,000}}{\text{Rs. 2,000}} = \frac{\text{Rs. 30,000}}{\text{Rs. 2,000}} = 15$ years.
Thus, it will take 15 years for the value of the vase to reduce to Rs.6,000.