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A jeep is hired for a 300 km run at ₹9 per km. Vinod rides the whole 300 km, Wasim only the first 200 km and Zoya only the first 100 km, and the cost of each stretch of road is shared equally by whoever is aboard for it. Vinod's share of the fare (in ₹) is:

Competition practiceRatio, Percentage & Commercial Math
  • A750
  • B900
  • C1650
  • D1350

Step-by-Step Solution

Each 100 km stretch costs ₹900. The first is shared three ways (₹300 each), the second by Vinod and Wasim (₹450 each), and the third falls on Vinod alone (₹900). Vinod pays 300 + 450 + 900 = ₹1650, Wasim ₹750 and Zoya ₹300 — together ₹2700, the whole fare. (Splitting ₹2700 in the ratio of the distances travelled, 3 : 2 : 1, gives Vinod ₹1350; that is a different and more generous rule, because it charges Zoya for road she shared with two others at the same rate per km as Vinod pays for road he had to himself. ₹900 divides the fare equally and ₹750 is Wasim's share.)
Answer: C) 1650

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