Multiple choice

A, B and C entered into a partnership by investing Rs. 64,000, Rs. 52,000 and Rs. 36,000, respectively. All of them invested for the same period of time. If A received Rs. 35,584 as his share of annual profit, then what was C's share of annual profit?

  1. Rs. 20,632

  2. Rs. 18,296

  3. Rs. 21,084

  4. Rs. 20,016

  5. Rs. 19,768
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Investment ratio A:B:C = 64:52:36 = 16:13:9. A's share is 16 parts = 35584. One part = 35584/16 = 2224. C's share = 9 parts = 9 * 2224 = 20016.

AI explanation

Because the time periods are equal, the profit sharing ratio is identical to the investment ratio of 64000 to 52000 to 36000, which simplifies by dividing each by 4000 to get 16 to 13 to 9. C's share of the profit corresponds to 9 parts out of the total 38 parts. Using the direct proportion method, if A's 16 parts equal Rs. 35584, then C's 9 parts equals (35584 divided by 16) multiplied by 9. This gives a value of 2224 times 9, resulting in Rs. 20016 for C's share.

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