Exams › SSC CGL (Prelims) › General

Two individuals, P and Q, rent a field together. P has 20 oxen grazed for 5 months. Q grazes 30 buffaloes for 5 months and 40 sheep for 3 months. Given that 2 oxen = 5 buffaloes and 3 buffaloes = 6 sheep, what fraction of the rent should P pay?

1. 15/46
2. 25/46
3. 33/47
4. 19/23

Correct answer: 25/46

Solution

Convert buffaloes and sheep into oxen-equivalent units. Since 2 oxen = 5 buffaloes, 1 buffalo = 2/5 oxen; and 3 buffaloes = 6 sheep, so 1 sheep = 1/2 buffalo = 1/5 oxen. Then P = 20×5 = 100 oxen-months, while Q = 30×5×2/5 + 40×3×1/5 = 60 + 24 = 84 oxen-months. So P’s fraction is 100/(100+84) = 25/46.

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