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Cards cost ₹2.5/cm². Riya has 2N cards of size s×s. Total cost for 2N cards=₹6400. Ratio of Riya's N cards (s×s) to Sahil's N cards ((s+2)×(s+2)) cost = 16:25. Find s.

Correct answer: 8

Solution

2N×s²×2.5=6400 → Ns²=1280. s²/(s+2)²=16/25 → s/(s+2)=4/5 → s=8. Check: N=20, Riya=3200, Sahil=5000, ratio=16:25 ✓.

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