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 ` 1020, what is C’s share of rent?
(a)₹ 816
(b)₹ 1360
(c)₹ 1836
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): C
Explanation
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 ₹ $x$. Then, A's share $=₹\left(\frac{15 x}{68}\right)$. $\therefore \frac{15 x}{68}=1020 \Rightarrow x=\left(\frac{1020 \times 68}{15}\right)=4624$. Hence, C's share $=₹\left(4624 \times \frac{27}{68}\right)=₹ 1836$.
Explanation as extracted from the printed page; notation may be imperfect.