Multiple choice

Directions: The question given below is followed by two statements I and II. You are to determine whether the data given in the statements is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. What is the income of Gauri? I. The income of Ramesh is 80% of that of Gauri. Gauri earns Rs. 1500 more than Ramesh. II. The respective ratio of the incomes of Ramesh and Gauri is 25 : 22 and the difference between their incomes is Rs. 1500.

  1. The question can be answered by using statement I alone, but cannot be answered by using statement II alone.

  2. The question can be answered by using statement II alone, but cannot be answered by using statement I alone.

  3. Both statements I and II together are required to answer the question.

  4. The answer can be found by using either of the two statements alone.

  5. Both the statements together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I: R = 0.8G, G = R + 1500. Substituting: G = 0.8G + 1500, 0.2G = 1500, G = 7500. Sufficient. Statement II: R/G = 25/22, G - R = 1500. This is a system of linear equations. Sufficient.

AI explanation

Statement I gives both the percentage relationship and the absolute difference: if Ramesh earns 80% of Gauri's income, the difference is 20%, which equals Rs. 1500, allowing you to solve for Gauri's income directly. Statement II provides the ratio of incomes as 25:22, where the difference of 3 parts equals Rs. 1500. You can easily find Gauri's income by calculating the value of 22 parts. Therefore, the answer can be found by using either of the two statements alone.

Keep practicing — related questions