Multiple choice

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. Find the amount invested by Rohan in his partnership business with his 2 other friends ? (A) Ratio of their profit is 15 : 16 : 15 (Rohan, Vikas, Nandu) and Vikas got Rs.16000/- as profit share. (B) Ratio of time period for which they invested is 5 : 4 : 3 (Rohan: Vikas: Nandu), and Nandu invested Rs. 20000 more than Rohan and both them gets equal share.

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

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

Statement B: Ratio of time is 5:4:3. Let investments be R, V, N. Profit share = Investment * Time. Since R and N get equal shares, R*5 = N*3. Also N = R + 20000. 5R = 3(R + 20000) -> 5R = 3R + 60000 -> 2R = 60000 -> R = 30000. Statement B is sufficient.

AI explanation

In statement A, we only know the profit ratio and Vikas's profit, which provides no information about the time periods or actual investment amounts, so it is insufficient. Statement B provides the ratio of time periods as 5 to 4 to 3 for Rohan, Vikas, and Nandu, and states Nandu invested 20000 more than Rohan while receiving equal profit. Since Rohan and Nandu get equal profit, their investment multiplied by time must be equal: R * 5 = (R + 20000) * 3, which solves to 2R = 60000, yielding Rohan's exact investment of 30000. Therefore, statement B alone is sufficient to answer the question.

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