Multiple choice

Directions: The question given below is followed by two statements A and B. You have to determine which statement(s) is/are sufficient/necessary to answer the question. If the cost price of an article is Rs. 1250, then what is the labelled price of the article? (A) The discount offered on the labelled price of the article is 16.67%. (B) The profit percentage of the article is 20%.

  1. Statement A alone is sufficient to answer the question, but statement B alone is not sufficient to answer the question.

  2. Statement B alone is sufficient to answer the question, but statement A alone is not sufficient to answer the question.

  3. Both the statements taken together are necessary to answer the question, but neither of the statements alone is sufficient to answer the question.

  4. Either statement A or statement B by itself is sufficient to answer the question.

  5. Statements A and B taken together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement A gives the discount percentage, but we need the profit to find the cost price relationship. Statement B gives profit, but we need the discount to find the marked price. Together, we can find the selling price from cost price (using profit) and then find the marked price from the selling price (using discount).

AI explanation

Statement A alone gives the discount amount but provides no way to find the cost price or the selling price. Statement B alone provides the profit percentage but without a selling price or discount, the labelled price cannot be found. By combining both statements, you can calculate the selling price as 1250 multiplied by 1.20, and then divide that selling price by (1 minus 0.1667) to find the labelled price. Both the statements taken together are necessary to answer the question, but neither statement alone is sufficient.

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