Multiple choice

Directions: The following item contains two statements, I and II, giving certain data. Select the correct answer from (1) to (4), depending on the sufficiency of the data given in the statements to answer the question. (1) If I alone is sufficient and II alone is not sufficient to answer the question. (2) If II alone is sufficient but I alone is not sufficient to answer the question. (3) If both I and II together are sufficient, but neither statement alone is sufficient to answer the question. (4) If both I and II together are not sufficient to answer the question and additional data, specific to the question is needed. What is the difference in savings of Ashlay and Prabhjot? (I) Monthly savings of Ashlay and Prabhjot are in the ratio 5 : 6. (II) If they both save Rs. 4000 more, the new ratio becomes 25 : 29.

  1. 1

  2. 2

  3. 3

  4. 4

  5. NA

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives the ratio 5:6. Statement II gives the ratio change with a fixed amount. Together, these allow solving for the actual values using the cross-multiplication method.

AI explanation

Let the savings of Ashlay and Prabhjot be 5x and 6x, respectively. Statement I gives the initial ratio but no actual values, so it is insufficient alone. Statement II gives the new ratio if both save Rs. 4000 more, which is (5x + 4000)/(6x + 4000) = 25/29, but without statement I to establish that the starting values are 5x and 6x, this cannot be solved. Therefore, both statements I and II together are required to set up and solve the equation for x, which is then used to find the difference of x.