Two individuals, A and B, rent a pasture together. A grazes 12 horses for 5 months. B grazes 18 cows for 6 months and 24 sheep for 5 months.
The following relationships are given:
3 horses are equivalent to 6 cows
6 cows are equivalent to 12 sheep
What amount of rent should A pay?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. .
3 Horses = 6 Cows ⇒ 1 Horse = 2 Cows
6 Cows = 12 sheeps ⇒ 1 Cow = 2 Sheeps
So, 1 Horse = 2 Cows = 4 Sheeps
A grazes 12 horses for 5 months
12 horses × 5 months = 60 horse-months = 240 sheep-months
B grazes 18 cows for 6 months and 24 sheep for 5 months
18 cows × 6 months = 108 cow-months = 216 sheep-months
24 sheep × 5 months = 120 sheep-months
Total for B = 216 + 120 = 336 sheep-months
Total for A and B = 240 + 336 = 576
A’s amount of rent = (240/576) = 5/12