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      Question

      Each question is followed by three statements I, II and

      III. You have to decide whether the data given in the statements are sufficient to answer the question. What is the profit percentage made on selling an article? I. The marked price of the article is Rs. 900 and a discount of Rs. 150 is given on it. II. The cost price of the article is Rs. 600 and the selling price is Rs. 750. III. The profit earned on the article is equal to the discount given on it.
      A If the data in statement I alone are sufficient, but the data in statements II and III alone are not sufficient. Correct Answer Incorrect Answer
      B If the data in statement II alone are sufficient, but the data in statements I and III alone are not sufficient. Correct Answer Incorrect Answer
      C If the data in statement III alone are sufficient, but the data in statements I and II alone are not sufficient. Correct Answer Incorrect Answer
      D If the data in any two of the three statements together are sufficient, but no single statement alone is sufficient. Correct Answer Incorrect Answer
      E If the data in all three statements together are necessary to answer the question; even any two statements together are not sufficient. Correct Answer Incorrect Answer

      Solution

      ATQ, We need profit % on cost price. Statement I: Marked Price (MP) = 900 Discount = 150 Selling Price (SP) = 900 − 150 = 750 Cost Price (CP) not given ⇒ profit% cannot be found. I alone is not sufficient. Statement II: CP = 600, SP = 750 Profit = 750 − 600 = 150 Profit% = (150 / 600) × 100 = 25% II alone is sufficient. Statement III: Profit = discount, but no actual values given ⇒ infinitely many possibilities. III alone is not sufficient. (For consistency check: With all three true, discount = 150 = profit ⇒ matches II and I.) Only statement II alone gives the answer.

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