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A, B and C rent a pasture for a year. A puts in 500 sheep for the first half of the year, B 750 sheep for the second half, and C 400 sheep all the year round. If the feed in the first half of the year is considered to be worth twice as much as in the second half of the year, find what fractional part of the rent each person ought to pay.

A.	7/53, 12/39, 14/80	B.	20/59, 15/59, 24/59
C.	20/30, 15/18, 24/53	D.	20/25, 15/69, 33/49

Answer and Explanation

Answer:20/59, 15/59, 24/59

Explanation:
A B C1 C2
Sheep(s) 500 750 400 400
Period (P) 6 6 6 6
Factor 2 1 2 1
Rent to be shared in the ratio (1000)6 : 750 (6)[(2400)2 + (2400)1]
i.e. 6000:4500:7200 i.e. 20:15:24
A pays 20/59, B pays 15/59, C pays 24/59

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