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Four milkmen rented a pasture. M put to graze 16 cows for 3 months and N 20 cows for 4 months, O 18 cows for 6 months and P 42 cows for 2 months. If M’s share of rent be Rs. 2400, the rent paid by O is ?

A. Rs. 3200 B. Rs. 4200 C. Rs. 4000 D. Rs. 5400 Answer: Option D
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Solution(By Apex Team)

M graze 16 cows for 3 months. N graze 20 cows for 4 months. O graze 18 cows for 6 months. P graze 42 cows for 2 months. So, Ration of Rent = M : N : O : P = (16 × 3) : (20 × 4) : (18 × 6) : (42 × 2) = 48 : 80 : 108 : 84 = 12 : 20 : 27 : 21 According to the question, $\begin{aligned}12\text{ units }&=\text{ Rs. }2400\\ 1\text{ unit }=&\frac{2400}{12}\\ 27\text{ units }&=\frac{2400\times27}{12}\\ &=\text{ Rs. }5400\end{aligned}$

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