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. Veer and Neeraj started a business together. Ratio between profit share of Veer to total profit is 3 : 7. Find initial investment of Veer? A. Neeraj invested 50% more than Veer, while ratio between time invested by Veer to Neeraj is 9 : 8. B. Veer invested Rs. 2,000 less than Neeraj while Veer and Neeraj invested for 9 and 8 months respectively.

  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

Profit share ratio = (Investment * Time). Veer:Neeraj = 3:7. Let Veer's investment be V and Neeraj's be N. (V * 9) / (N * 8) = 3/7. This allows finding the ratio of V to N. Statement B provides the absolute difference (N - V = 2000), which combined with the ratio allows solving for V.

AI explanation

Using the given profit ratio, Veer's investment multiplied by 9 relates to total profit by the ratio 3 to 7, meaning Neeraj's investment multiplied by 8 corresponds to 4 parts. Statement A provides only the relative percentage of investments (N = 1.5V) without any absolute monetary value, making it impossible to find the actual initial investment. Statement B provides the exact difference that Neeraj invested 2000 more than Veer, which gives the equation 9V / (9V + 8(V + 2000)) = 3 / 7, allowing us to solve for the exact initial investment of Veer.

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