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1. Four milkmen rented a pasture. A grazed 15 cows for 4 months, B grazed 12 cows for 2 months, C grazed 18 cows for 6 months and D grazed 16 cows for 5 months. If A's share of rent is Rs. 1020, what is C's share of rent ?

A. Rs. 916

B. Rs. 1360

C. Rs. 1836

D. Cannot be determined

Solution:

\begin{aligned} = A : B : C : D \\ = 15 \times 4 : 12 \times 2 : 18 \times 6 : 16 \times 5 \\ = 60 : 24 : 108 : 80 \\ = 15 : 6 : 27 : 20 \\ Let the total rent be Rs . x \\ Then, \\ A's share = Rs . (\frac{15 x}{68}) \\ ∴ \frac{15 x}{68} = 1020 \\ \Rightarrow x = (\frac{1020 \times 68}{15}) \\ \Rightarrow x = 4624 \\ Hence, C's share \\ = Rs . (4624 \times \frac{27}{68}) \\ = Rs . 1836 \end{aligned}

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