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      Question

      Marked price of an article is Rs. M, as it is marked by

      a certain price. Find the value of M. Statement I. If the shopkeeper gives a discount of 10%, so, there is a profit of 20%. If there is no discount offered there is a profit of Rs. 42. Statement II. If the article is sold for a discount of 25%, there is a profit of Rs. 6. Statement III. Marked up is 40% In each of the following questions two statements I and II or three statements I, II and III is given. Find which statement or pair of statements is sufficient to answer the questions.
      A Combination of any two statements is sufficient to answer the question. Correct Answer Incorrect Answer
      B Statement I alone is sufficient to answer the question. Correct Answer Incorrect Answer
      C Statement I alone or a combination of statements II and III is sufficient to answer the question. Correct Answer Incorrect Answer
      D Statement III only is sufficient to answer the questions. Correct Answer Incorrect Answer
      E Any of the statements alone is sufficient to answer the question. Correct Answer Incorrect Answer

      Solution

      Answer: C Statement I. 90% of MRP = 120% of CP MRP/CP = 120/90 = 4/3 If article is sold at MRP, then profit is Rs. 42 So, required MRP (M) = 4x * [42/ (4x – 3x)] = Rs. 168 This statement alone is sufficient to answer the question. It is clear that statement II, and III alone is not sufficient to answer the question. On combing (II + III) Let cost price of article = 100a 3 So MRP of article = 140a Selling price of article = 105a So, (105a – 100a) = Rs. 6 5a = Rs. 6 So, MRP of article = 6/5 x 140 = Rs. 168 Statement I alone or (II + III) is sufficient to answer the question. Hence answer is option C

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