Multiple choice

A, B and C enter into a partnership making investments in the ratio of 7/2 : 4/3 : 6/5. After four months, A increases his investment by 50%. If the total profit at the end of one year is Rs. 21,600, then what would be B's share (in Rs.)?

  1. 2100

  2. 2400

  3. 3600

  4. 4000

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Ratio of investments: A: 7/2, B: 4/3, C: 6/5. Multiply by 30: A: 105, B: 40, C: 36. A's investment: 105 for 4 months, then 105 * 1.5 = 157.5 for 8 months. Total A = 420 + 1260 = 1680. B = 40 * 12 = 480. C = 36 * 12 = 432. Total = 1680 + 480 + 432 = 2592. B's share = (480 / 2592) * 21600 = 4000.

AI explanation

The initial investments are converted into whole numbers using the ratio 7/2 : 4/3 : 6/5, resulting in a ratio of 105 : 40 : 36. Since A increases his investment by 50% after four months, A's effective capital becomes (105 * 4) + (157.5 * 8) = 1680. The effective capital for B is 40 * 12 = 480, and for C it is 36 * 12 = 432, making the total effective capital 2592. B's share of the total profit of 21600 is (480/2592) * 21600 = 4000. B's share is Rs. 4,000.

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