Multiple choice

Directions: The following question consists of three statements I, II and III. You have to determine which of the following statements is/are necessary to answer the question. Ali, Bani and Chaya planned to start a partnership firm. They decided that the profit earned in the business would be proportional to the investment and the duration of investment. What was the profit of Bani if all of them invested the amount for one year and total profit was Rs. x? I. Ali invested Rs. 15,000 more than Chaya. II. Bani invested 150 percent more than Ali and 50% less than Chaya. III. Bani invested 2.5 times the amount invested by Ali and 50% of that invested by Chaya.

  1. Any two of them

  2. Either II or III alone

  3. Any of them

  4. All statements are required

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit is proportional to investment. We need the ratio of investments of Ali, Bani, and Chaya. Statement II gives Bani relative to Ali and Chaya. Statement III gives Bani relative to Ali and Chaya. Either II or III is sufficient to establish the ratio of all three investments.

AI explanation

The total profit is given as Rs. x and Bani's share depends on the ratio of investments, which requires knowing the relative amounts invested by Ali, Bani and Chaya. Statement I only compares Ali and Chaya, so it is insufficient alone. Statement II provides relative percentages linking Bani to both Ali and Chaya, allowing you to establish the complete investment ratio; similarly, statement III provides direct relational multiples linking all three partners. Therefore, either statement II alone or statement III alone is sufficient to find the investment ratio and subsequently Bani's profit share.

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