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Q.

Three graziers A,B and C rent a piece of pasture for a month. A puts in 27 cattle for 19 days, B 21 for 17 days and C 24 for 23 days. If at the end of the month the rent amount to Rs.237, how much ought to be paid by each.

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Correct choice: A

Explanation:

A's cattle = 27 x 19 = 513 B's cattle = 21 x 17 = 357 C's cattle = 24 x 23 = 552 Ratio of cattle = 513 : 357 : 552 = 171 : 119 : 184 payment to be made by A = \inline 237\times \frac{171}{474} = Rs.85.50 payment to be made by B = \inline 237\times \frac{119}{474} = Rs.59.50 payment to be made by C = \inline 237\times \frac{184}{474} = Rs.92
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