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?
Rs. 45
Rs. 50
Rs. 55
Rs. 60
Explanation:
A : B : C = $\left(10 \times 7\right)$ :$\left (12 \times 5\right)$ : $\left(15 \times 3\right)$ = 70 : 60 : 45 = 14 : 12 : 9.
$\therefore$ Cs rent = Rs.$ \left(175 \times\dfrac{9}{35} \right) $= Rs. 45.