A starts business with Rs. 3500 and after 5 months, B joins with A as his…

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A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

  1. A.

    Rs. 7500

  2. B.

    Rs. 8000

  3. C.

    Rs. 8500

  4. D.

    Rs. 9000

Attempted by 2 students.

Show answer & explanation

Correct answer: D

Solution:

  1. Compute A's capital-time product: 3500 × 12 = 42000.

  2. B joins after 5 months, so B invests for 7 months. Let B's contribution be x, so B's capital-time product = 7x.

  3. Profit ratio equals capital-time ratio: 42000 : 7x = 2 : 3. Solve for x.

  4. Set up equation: 42000 / (7x) = 2 / 3. Cross-multiply: 3 × 42000 = 2 × 7x → 126000 = 14x → x = 9000.

  5. Verification: 3500 × 12 : 9000 × 7 = 42000 : 63000 = 2 : 3, so B's contribution is Rs. 9000.

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