A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many…

2024

A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?

  1. A.

    120

  2. B.

    280

  3. C.

    180

  4. D.

    200

Attempted by 82 students.

Show answer & explanation

Correct answer: B

Answer: 280

Explanation:

  1. Key idea: Payment is shared in proportion to the product (number of cows) × (months kept).

  2. A's contribution = 80 cows × 7 months = 560 cow-months.

  3. Let B have x cows for 3 months. B's contribution = 3x cow-months.

  4. Given B pays half as much again as A, B's payment = 1.5 × A's payment, so (3x) / 560 = 3/2.

  5. Solve: (3x) / 560 = 3/2 ⇒ 3x = 560 × 3/2 = 840 ⇒ x = 840 / 3 = 280.

  6. Therefore B can put in 280 cows.

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