Multiple choice

J and K started a business, with investments of Rs, 5,00,000 and Rs. 10,00,000, respectively, for 5 years. Then, the second year, L joined them with investment of Rs. 15,00,000 for the rest of the 4 years. Due to some dispute between K and L, K withdrew half his investment and left the business at the end of 4th year, taking his profit along at the end of 5th year. What was the share of K, if total profit at the end of the 5 years was Rs. 15,00,070?

  1. Rs. 5,19,255

  2. Rs. 5,89,265

  3. Rs. 2,90,253

  4. Rs. 2,90,500

  5. None of these
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A Correct answer
AI explanation

We find the equivalent capital months for each partner to determine their profit sharing ratio. J invested 500000 for 60 months, K invested 1000000 for 48 months and 500000 for 12 months (giving 54000000 effective months), and L invested 1500000 for 48 months. The profit ratio is 30000000 : 54000000 : 72000000, which simplifies to 5 : 9 : 12, meaning K's share is 9/26 of the total profit. Multiplying the total profit of Rs. 15,00,070 by 9/26 gives K's share as Rs. 5,19,255.

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