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ExamsSSC CGL (Prelims)General

Two men, M and N, rent a pasture. M uses 12 cows for 4 months and 18 goats for 5 months, while N uses 26 goats for 7 months. If 3 cows are equivalent to 7 goats, what is M's share of the rent?

  1. 101/192
  2. 110/192
  3. 105/192
  4. 60/192

Correct answer: 101/192

Solution

Since 3 cows = 7 goats, 1 cow = 7/3 goats. M's usage = 12 cows for 4 months + 18 goats for 5 months = 12×4×7/3 + 18×5 = 112 + 90 = 202 goat-month units. N's usage = 26×7 = 182 goat-month units. So M's share = 202/(202+182) = 202/384 = 101/192.

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