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 Answer: Option C
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Solution(By Apex Team)

$\begin{array}{l}\text{A}:\mathrm{B}:\mathrm{C}:\mathrm{D}\\ =15\times4:12\times2:18\times6:16\times5\\ =60:24:108:80\\ =15:6:27:20\end{array}$ $\begin{aligned}&\text{Let the total rent be Rs. x}\\ &\text{Then,}\\ &\text{ A’s share }=\text{ Rs. }\left(\frac{15x}{68}\right)\\ &\therefore\frac{15x}{68}=1020\\ &\Rightarrow x=\left(\frac{1020\times68}{15}\right)\\ &\Rightarrow x=4624\\ &\text{Hence,}\ \text{C’s share}\\ &=\text{Rs.}\ \left(4624\times\frac{27}{68}\right)\\ &=\text{Rs.}\ 1836\end{aligned}$

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