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?

Correct Option (3)

Let the total bus fare for two persons be denoted by $F$. Given that ₹ 10 represents 80% of the total fare, the calculation is as follows: $0.80\times F=10$ $F=\frac{10}{0.80}=\frac{100}{8}=12.50$ Thus, the total bus fare for two persons is ₹ 12.50. Initially, A possesses ₹ 10. B then contributes ₹ 3 to A. The total money A now has is ₹ 10 + ₹ 3 = ₹ 13. After purchasing two tickets for ₹ 12.50, the money remaining with A will be ₹ 13 - ₹ 12.50 = ₹ 0.50. ₹ 0.50 is equivalent to 50 paise. Therefore, A will be left with 50 paise.

Incorrect Options:

Option 1 is incorrect because A has ₹ 13, which is more than the ₹ 12.50 required for two tickets, indicating a surplus, not just enough.

Option 2 is incorrect because A possesses ₹ 13, while the fare is ₹ 12.50. A has a surplus of ₹ 0.50, not a deficit of ₹ 2.

Option 4 is incorrect because A's total money of ₹ 13 is sufficient to buy two tickets, which cost ₹ 12.50, leaving a remainder.