Multiple choice

Directions: In the following problem, a question is followed by three statements I, II and III. Read the question and the statements carefully and choose which statement(s) is/are required to answer the question. Ramakant, Vikram and Arjun invested in a business. What is Ramakant's profit share? I. They together invested an amount of Rs. 54,000 for a period of 1 year. II. Ramakant's investment was 25% less than Vikram's and 50% more than Arjun's. III. The profit share of Vikram is Rs. 4000 more than that of Arjun.

  1. I and II together

  2. Only II

  3. II and either I or III only

  4. II and III together

  5. None of the above

Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Statement II establishes the ratio of investments: let Ramakant's investment be 3x, Vikram's be 4x, and Arjun's be 2x. Statement III provides the difference in profit shares between Vikram and Arjun, which corresponds to the difference in their ratio units (4x minus 2x = 2x). Because this 2x difference equals Rs. 4000, we can determine the value of one ratio unit and find Ramakant's share (3x) without needing the total investment from statement I. Therefore, only statements II and III together are sufficient.