A and B decide to travel from place X to place Y by bus. A has ₹ 10 with him and he finds that it is 80% of the bus fare for two persons. B finds that he has ₹ 3 with him and hands it over to A. In this context, which one of the following statements is correct?

Let's solve this intuitively by focusing on what is *missing* rather than the total cost.\n\n1. **Analyze the gap:** A has ₹10, which covers **80%** of the fare. This means **20%** of the fare is still needed to buy the tickets.\n\n2. **Use ratios (Mental Math):** \n - We know that $80\\%$ is four times $20\\%$ (since $80 / 20 = 4$).\n - Therefore, the money A has (₹10) must be four times the money A needs.\n - *Missing Amount* = $10 / 4 = 2.5$ Rupees.\n\n3. **Check the contribution:** B hands over ₹3. \n - A only needed ₹2.5 to complete the fare.\n - Since B gave ₹3, there is a surplus.\n\n4. **Calculate Surplus:** \n - $3.0 - 2.5 = 0.5$ Rupees.\n - 0.5 Rupees is 50 paise.\n\nSo, after buying the tickets, A will have exactly 50 paise left. This matches Option C.