Three milkmen rented a pasture. A grazed 24 cows for 4 months; B 10 cows for 6 months; C 56 cows for 5 months. If A's share of rent is Rs. 960, find the total rent of the field?

A 4530

B 4440

C 4360

D 4280

Correct Answer: Option C

Ratio of shares of A,B,C = (24 x 4) : (10 x 6) : (56 x 5)

= 96 : 60 : 280.

Let total rent be Rs. x. Then, A's share = \(Rs.\frac{96x}{436}\)

\(\therefore\frac{96x}{436}=960\;\Leftrightarrow x=\frac{960\times436}{96}=4360\)

Hence total rent of the field is Rs. 4360.