Multiple choice

Directions: The question given below is followed by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the question. What is the profit share of B if the profit is distributed according to their investments including time? A. A, B and C start a venture together. B invests Rs. 5000, C invests Rs. 1000 less than B, and A invests Rs. 7000 initially. A gets a profit of Rs. 965 at the end of one year. B. C gets a profit of Rs. 1351 at the end of one year.

  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 question, 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

Using statement A alone, the investments are given as 7000 for A, 5000 for B, and 4000 for C, and since A gets a profit of 965 at the end of one year, we can find the total profit. The investment ratio is 7 to 5 to 4, meaning A's share is 7 parts out of the total 16 parts, so the total profit is calculated as 965 divided by 7 and multiplied by 16, which equals 2200. Once the total profit is known, B's share is found by taking 5 parts of the total, which is 5 divided by 16 and multiplied by 2200 to equal 687.5, meaning statement A alone is sufficient to answer the question. Statement B alone only provides the profit of C, but without knowing the initial investments of A and B, we cannot determine the total profit or B's share, meaning statement B alone is not sufficient.

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