Multiple choice

Directions: The following question is accompanied by statements A and B. You have to determine which of the following statements(s) is/are sufficient/necessary to answer the question. W, X, Y and Z enter into a partnership. The total profit is Rs. 6,240 and it is shared in the ratio of their investment, including time. Find the difference of the profit share between W and Z? (A) The ratio of investment of W and investment of X and Y together is 16 : 27 and the ratio of investment of X and Y together and investment of Z is 3 : 1. (B) The ratio of investment of X and Y is 15 : 12, the ratio of investment of W and Y is 4 : 3 and investment of Z is 75% of investment of Y.

  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.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement A provides the ratio of W to (X+Y) and (X+Y) to Z, allowing us to find the ratio of W:X:Y:Z. Statement B provides ratios for X:Y, W:Y, and Z:Y, which also allows us to find the ratio of W:X:Y:Z. Since both allow finding the ratio of investments (and thus profit shares), both are individually sufficient.

AI explanation

Statement A combines to give the ratio of W to (X plus Y) to Z as 16 to 27 to 9, which alone is sufficient to calculate the profit difference between W and Z from the total of Rs. 6,240. Statement B allows you to equate W to Y as 4 to 3 and X to Y as 5 to 4, establishing the base ratio of W to X to Y as 16 to 15 to 12. Since Z is 75% of Y, Z equals 9, making the complete ratio 16 to 15 to 12 to 9, which is also sufficient alone to find the profit difference. Therefore, either statement A or statement B by itself is sufficient to answer the question.

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