UPSC Prelims 2014·CSAT·Quantitative Aptitude·Arithmetic

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

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Last updated 8 Jul 2026, 4:39 pm IST
  1. ANow the money A has just enough to buy two tickets
  2. BA still needs Rs. 2 for buying the tickets
  3. CAfter buying the two tickets A will be left with 50 paiseCorrect
  4. DThe money A now has is still not sufficient to buy two tickets.

Explanation

Step 1: Calculate the total bus fare for two persons. A has Rs. 10, which is 80% of the bus fare for two persons. Let the total bus fare be F. 0.80 * F = Rs. 10 F = 10 / 0.80 F = 10 / (4/5) F = 10 * (5/4) F = 50 / 4 F = Rs. 12.50

Step 2: Calculate the total money A has after B hands over money. A initially has Rs. 10. B hands over Rs. 3 to A. Total money A has = Rs. 10 + Rs. 3 = Rs. 13.

Step 3: Compare the total money with the bus fare. Total money A has = Rs. 13. Total bus fare = Rs. 12.50.

Analysis of options: A) Now the money A has just enough to buy two tickets. A has Rs. 13, which is more than Rs. 12.50. So, it's not "just enough". This is incorrect.

B) A still needs Rs. 2 for buying the tickets. A has Rs. 13, and the fare is Rs. 12.50. A has more than enough, not less. This is incorrect.

C) After buying the two tickets A will be left with 50 paise. Money left with A = Total money - Bus fare Money left = Rs. 13 - Rs. 12.50 = Rs. 0.50 = 50 paise. This is correct.

D) The money A now has is still not sufficient to buy two tickets. A has Rs. 13, which is sufficient to buy tickets costing Rs. 12.50. This is incorrect.

The final answer is C.

Quantitative Aptitude: A and B decide to travel from place X to place Y by bus. A has Rs. 10 with him and he finds that it is 80% of the bus fa

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