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1. A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

A. Rs. 40

B. Rs. 30

C. Rs. 45

D. Rs. 50

Solution:

\begin{aligned} A : B : C \\ = (10 \times 7) : (12 \times 5) : (15 \times 3) \\ = 70 : 60 : 45 \\ = 14 : 12 : 9 \\ ∴ C's rent = Rs . (175 \times \frac{9}{35}) \\ = Rs . 45 \end{aligned}

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