The given ratio of the amounts distributed among X, Y, and Z is:

Step 1: Simplify the Ratio Finding the LCM of denominators $(2, 4, 6) = 12$. Multiply each term by 12: $6:9:10$

Step 2: Assign Shares Let the shares of X, Y, and Z be $6n$, $9n$, and $10n$, respectively.

Step 3: Use the Given Total Amount $6n+9n+10n=2500$

Simplify: $25n=2500$ $n=100$

Step 4: Find the Difference Maximum share = $10n = 10 \times 100 = 1000$ Minimum share = $6n = 6 \times 100 = 600$

Difference: $1000-600=400$

Final Answer: The difference between the maximum and minimum shares is Rs. 400.