Multiple choice

Directions: The question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements are sufficient to answer the question. Using the data, make an appropriate choice from (1) to (4) as per the following guidelines: What is the cost price of an item? I. It is sold for Rs. s at a loss of 10%. II. If it is sold for Rs. (s + 50), the profit will be 5%.

  1. Mark choice (1) if the statement I alone is sufficient to answer the question.

  2. Mark choice (2) if the statement II alone is sufficient to answer the question.

  3. Mark choice (3) if both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

  4. Mark choice (4) if both the statements I and II together are not sufficient to answer the question and additional data is required.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From I: SP = 0.9 * CP = s. From II: SP = 1.05 * CP = s + 50. We have two equations with two variables (CP and s), so both statements are needed to solve for CP.

AI explanation

From statement I, the cost price equals s divided by 0.90. From statement II, the cost price equals (s + 50) divided by 1.05. Setting these two expressions for cost price equal gives s divided by 0.90 equals (s + 50) divided by 1.05, which requires both equations to solve for the variable s and ultimately the cost price. Therefore, both statements together are sufficient to answer the question.

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