A and B share a rented field. A utilizes 15 horses for 6 months, while B uses 25 cows for 5 months and 60 sheep for 6 months. If 3 horses are equivalent to 4 cows, and 2 cows are equal to 8 sheep, what portion of the rent does A pay?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. .
Given, 3 horses = 4 cows
⇒ 1 horse = 4/3 cows
2 cows = 8 sheep
⇒ 1 cow = 4 sheep
⇒ 1 sheep = 0.25 cow
Usage of A = 15 horses × 6 months = 90 horse-months
Convert horses to cows: 90 × 4/3 = 120 cow-months
Usage of B = 25 cows × 5 months = 125 cow-months
60 sheep × 6 months = 360 sheep-months
⇒ convert to cows: 360 × 0.25 = 90 cow-months
Total B = 125 + 90 = 215 cow-months
Total usage = 120 + 215 = 335
A's share = (Usage of A)/(Total Usage)
⇒ 120/335 = 24/67