Multiple choice

Directions: The problem below consists of a question and two statements labelled (A) and (B) given below it. Read them carefully and decide which of the given statements is/are sufficient to answer the question. Choose the correct option accordingly. What is the ratio of Rohan's salary to Tim's salary? (A) If Rohan's pay was cut by 10% and Tim's pay was raised by 20%, they would earn the same amount. (B) Rohan earns Rs. 5000 more per month than Tim does.

  1. Statement (A) alone is sufficient, but statement (B) alone is not sufficient.

  2. Statement (B) alone is sufficient, but statement (A) alone is not sufficient.

  3. Both statements (A) and (B) together are sufficient, but neither statement alone is sufficient.

  4. Each statement alone is sufficient.

  5. Both statements (A) and (B) together are not sufficient and additional data is needed.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement (A) provides the ratio: 0.9R = 1.2T, so R/T = 1.2/0.9 = 4/3. Statement (B) only provides a difference, which is insufficient for a ratio without knowing the base values.

AI explanation

Using the percentage method, statement (A) gives the equation 0.90R = 1.20T. Simplifying this equation by dividing both sides by 0.30 yields a direct ratio of R:T = 4:3. Statement (B) only provides the difference between the salaries, which cannot establish a ratio without the actual base values. Therefore, statement (A) alone is sufficient to find the ratio, but statement (B) alone is not.

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