Multiple choice

Directions: The following question is accompanied by statements A and B. You have to determine which statement(s) is/are sufficient/necessary to answer the question. Renu, Rajesh, Rohit and Ravi started a business in partnership. If the total amount invested by all four persons is Rs. 68,000, then find the amount invested by Renu. (A) The ratio between the investment of Rajesh, Rohit and Ravi together and the investment of Renu is 12 : 5. (B) The ratio between the investment of Renu and the investment of Rajesh is 5 : 3 and the ratio between the investment of Rohit and the investment of Ravi is 4 : 5.

  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
Explanation

Statement A gives the ratio of (Rajesh+Rohit+Ravi) : Renu = 12:5. Total parts = 17. Renu's share = (5/17) * 68,000 = 20,000. Statement B provides ratios for subsets but not the total relative to Renu.

AI explanation

Statement A gives the ratio of the combined investment of Rajesh, Rohit and Ravi to Renu as 12 to 5, making Renu's fraction of the total investment 5 divided by 17. Multiplying this fraction by the total investment of 68000 gives Renu's amount, so statement A is sufficient. Statement B gives ratios connecting Renu to Rajesh and Rohit to Ravi but provides no link between those two pairs, so it cannot determine the fraction of the total 68000 held by Renu. Therefore, statement A alone is sufficient, but statement B alone is not.

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