Exams › SSC CGL (Prelims) › General

Two farmers, X and Y, hire a field. X keeps 18 oxen there for 5 months and 20 goats for 3 months. Y keeps 24 goats for 7 months and 30 sheep for 6 months. If 2 oxen eat as much as 5 goats, and 3 goats eat as much as 4 sheep, what fraction of the total rent should X pay?

1. 90/196
2. 95/196
3. 10/196
4. 111/196

Correct answer: 95/196

Solution

Rent is divided in proportion to the total consumption of each farmer's animals. Using the given relations, express oxen and sheep in terms of goats, then compute the total goat-equivalent months for X and Y. The fraction paid by X is his share of the total consumption.

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