IBPS PO Mains 5 Nov 2023 Paper

Concept:Use the ratio of taxi to auto fare and the total money spent to find the fare per km.Explanation:From the graph, distance A-B = $120$ km, B-D = $200$ km, and A-D = $260$ km.Taxi fare is 20% more than auto fare, so taxi : auto = $6:5$.Let auto fare per km be $5x$ and taxi fare per km be $6x$.Money spent on A-B by taxi = $120 \times 6x$.Money spent on B-D by auto = $200 \times 5x$.Total money spent = $3440$.So, $120(6x) + 200(5x) = 3440$.$720x + 1000x = 3440$.$1720x = 3440$, hence $x = 2$.Taxi fare per km = $6x = 12$.Fare from A to D = $260 \times 12 = 3120$.Answer:Rs. 3120 (Option C).