Multiple choice

Directions: The question below is followed by two statements A and B. You are to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose between the possible answer. What is the profit earned by Selling a chair for Rs. 250/-? (A) The cost price of 10 such chairs is equal to selling price of 8 such chairs. (B) 25% profit is earned by selling 4 such chairs.

  1. If the statement (A) alone is sufficient to answer the question, but the statement B alone is not sufficient.

  2. If the statement (B) alone is sufficient to answer the question, but the statement A alone is not sufficient.

  3. If both statements (A) and (B) together are needed to answer the question.

  4. If either the statement (A) alone or statement (B) alone is sufficient to answer the question.

  5. If you cannot get the answer from the statement (A) and (B) together, but need even more data.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement A: 10*CP = 8*SP, so SP/CP = 10/8 = 1.25. Profit is 25%. This allows calculating the profit amount if the CP is known, but the question asks for profit earned by selling for 250. With SP=250 and profit=25%, CP=200, profit=50. Statement B: 25% profit is earned. This also allows calculating the profit amount. Both are sufficient independently.

AI explanation

To find the profit, we must determine the cost price of one chair, which is 250 divided by (1 plus profit percentage). Statement A establishes that 10 times cost price equals 8 times selling price (2000), meaning the cost price per chair is 200, which yields a profit of 50. Statement B directly gives the 25 percent profit margin, allowing us to calculate the cost price as 250 divided by 1.25, which also equals 200 to find the same 50 profit. Therefore, either statement alone is sufficient to answer the question.

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