Multiple choice

Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was gain of Rs 4005, then what will be the share of Kamal ?

  1. $Rs. 890$
  2. $Rs. 1335$
  3. $Rs. 1602$
  4. $Rs. 1780$
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A Correct answer
Explanation

Investment ratios: Arun (8000*6), Kamal (4000*8), Vinay (8000*8). Ratios: 48:32:64 = 3:2:4. Total parts = 9. Kamal's share = (2/9) * 4005 = 890.

AI explanation

The profit sharing ratio is determined by the product of capital invested and the time period. The effective capital products are Arun at 8000 for 6 months (48000), Kamal at 4000 for 8 months (32000), and Vinay at 8000 for 8 months (64000). Their ratio is 48000 : 32000 : 64000, which simplifies to 3 : 2 : 4, meaning Kamal receives 2 out of 9 total parts. Kamal's share of the Rs. 4005 profit is calculated as (2 / 9) * 4005, resulting in Rs. 890.

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