Multiple choice

Directions: The given question is followed by two statements A and B. You have to determine which statement(s) is/are sufficient/necessary to answer the question. What is the profit percentage on the article? A. The profit earned by selling the article for Rs. 363 is Rs. 63. B. The discount percentage offered on the marked price of the article is 27.4%, while the marked price and the cost price of the article are Rs. 500 and Rs. 300, respectively.

  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
D Correct answer
Explanation

Statement A: SP = 363, Profit = 63. CP = 300. Profit % = (63/300)*100 = 21%. Sufficient. Statement B: MP = 500, Discount = 27.4% of 500 = 137. SP = 500 - 137 = 363. CP = 300. Profit % = (63/300)*100 = 21%. Sufficient.

AI explanation

From statement A, the cost price is the selling price minus the profit, which is 363 minus 63, giving Rs. 300; the profit percentage is 63 divided by 300, then multiplied by 100, giving 21%. From statement B, the selling price is the marked price minus the discount, so 500 minus 27.4% of 500 gives Rs. 363; with a cost price of Rs. 300, the profit percentage is also 21%. Since we can find the profit percentage from either statement independently, either statement A or statement B by itself is sufficient to answer the question.

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