A group collects as many paise from each member as the number of members. If the total collection is ₹59.29, how many members are there in the group?

Problem restatementA group has n members. Each member contributes n paise (i.e., n/100 rupees). The total collected is ₹59.29. Find n.

Given data

• Total collection = ₹59.29 = 5929 paise.
• Each member pays = n paise; number of members = n.

Concept/ApproachTotal in paise = n (members) × n (paise per member) = n² paise. Equate to 5929.

Step-by-step calculation n² = 5929 n = √5929 = 77

Verification/Alternative77 members paying 77 paise each gives 77 × 77 = 5929 paise = ₹59.29.

Common pitfalls

• Treating ₹59.29 directly as 59.29 units instead of converting to paise to match the per-member amount.

Final Answer77