A group decides that each subscriber will pay as many rupees as there are subscribers. The total subscription collected is Rs 2,582,449. Find the number of subscribers.

Introduction:
This is a direct squares problem. If there are n subscribers and each pays n rupees, the total collected becomes n^2 rupees.

Given Data / Assumptions:

• Total subscription = Rs 2,582,449
• Each subscriber pays = n rupees
• Total = n * n = n^2

Concept / Approach:
Set n^2 = 2,582,449 and take the (positive) square root to find n.

Step-by-Step Solution:
n^2 = 2,582,449n = sqrt(2,582,449) = 1607 (since 1607^2 = 2,582,449)

Verification / Alternative check:
Compute 1607 * 1607 to verify the exact total.

Why Other Options Are Wrong:
1603, 1503: Their squares do not equal 2,582,449.1291225: That is a large square-like number but not n; it resembles n^2 in format, not the count.

Common Pitfalls:
Confusing total paid per person with total collected; not recognizing the square relation.

Final Answer:
1607