Multiple choice

Find the ratio of investment of Ajay to Vijay if Ajay invests after 6 months of Vijay's investment and Vijay invests after 3 months of commencement of business. It is known that their profit-sharing ratio after 1 year of commencement of business is 2:3.

  1. 2 : 1

  2. 1 : 3

  3. 3 : 1

  4. 1: 2

  5. 4 : 1

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A Correct answer
AI explanation

Vijay invested for 9 months (12 minus 3), while Ajay invested for 6 months (12 minus 6). Since their profit ratio equals the product of their investment amounts and time periods, the ratio (Ajay's investment * 6) / (Vijay's investment * 9) equals 2 / 3. Solving this gives Ajay's investment / Vijay's investment = (2 * 9) / (3 * 6) = 18 / 6 = 2 / 1, making the ratio 2 : 1.