Multiple choice

Soumya and Kartik invested in a business and at the end of the year, they shared the profits in the ratio of 7 : 3. If investment of Soumya is Rs. 16,000 more than the investment of Kartik, then find the total investment of Soumya and Kartik.

  1. Rs. 40,000

  2. Rs. 48,000

  3. Rs. 32,500

  4. Rs. 24,750

  5. None of these
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A Correct answer
Explanation

Profit ratio = 7:3. Investment ratio = 7:3. Difference in parts = 7 - 3 = 4 parts. 4 parts = 16000, so 1 part = 4000. Total investment = 7 + 3 = 10 parts = 40000.

AI explanation

Assuming the investment period is the same for both, their profit sharing ratio of 7 : 3 means Soumya's investment is 7x and Kartik's investment is 3x. The difference in their investments is 7x - 3x = 4x, which equals 16000. Solving for x gives x = 4000. The total investment is the sum of both parts, calculated as 7x + 3x = 10x, which results in 40000.

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