Multiple choice

Directions: The following questions are accompanied by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Ajay, Akash, Babu and Krishna enter into a partnership. If their profit share is in the ratio of their investment, then find the difference in the profit share of Ajay and Krishna. (A) The ratio of investments of Ajay and Akash is 7 : 8, the ratio of investments of Akash and Babu is 4 : 5, the ratio of investments of Babu and Krishna is 10 : 9 and total profit after 1 year is Rs. 42,160. (B) Akash's investment is 8 7 th of Ajay's investment, Babu's investment is 5 4 th of Akash's investment and Krishna's investment is 9 10 th of Babu's investment.

  1. Statement A alone is sufficient to answer the question, but statement B alone is not sufficient to answer the question.

  2. Statement B alone is sufficient to answer the question, but statement A alone is not sufficient to answer the question.

  3. Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

  4. Either statement A or statement B by itself is sufficient to answer the question.

  5. Statements A and B taken together are not sufficient to answer the question.
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A Correct answer
AI explanation

Statement A combines the investment ratios to find the combined ratio of investments for Ajay, Akash, Babu, and Krishna as 35 to 40 to 50 to 45, which simplifies to 7 to 8 to 10 to 9. Since the profit share ratio equals the investment ratio, you can calculate the exact profit difference between Ajay and Krishna by finding 7 minus 9 out of the total 34 parts of the 42,160 rupees profit, making Statement A sufficient. Statement B provides the same investment ratios but gives no total profit amount, meaning the exact numerical profit difference cannot be calculated. Therefore, only Statement A alone is sufficient to answer the question.

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