Multiple choice

Directions: This data sufficiency problem consists of a question and two statements labeled (1) and (2). You have to decide whether the data given in the statements are sufficient for answering the question. What was the price at which a merchant sold a laptop? (1) The merchants profit on laptop was 25% of the price at which he sold the laptop. (2) The price at which he sold the laptop was $200 more than the merchants cost of laptop.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

  3. Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

  4. Each statement alone is sufficient.

  5. Statements (1) and (2) together are not sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement 1 says the profit is 25% of the selling price, but gives no numerical amount. Statement 2 gives only the difference between selling price and cost, also without a numerical value. Together, profit is 25% of the selling price and equals \$200, so the selling price is \$800.

AI explanation

Statement (1) states that profit is 25% of the selling price, establishing a ratio between cost and selling price but providing no absolute value. Statement (2) establishes that the selling price is $200 more than the cost price, which provides an absolute difference but no baseline percentage to find the exact selling price. By substituting the cost price from statement (2) into the ratio from statement (1), the exact selling price can be calculated.

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