Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What was the cost price of the suitcase purchased by Aseem? (I) Aseem got 20% concession on the labelled price. (II) Aseem sold the suitcase for Rs 2000 with 25% profit on the labelled price.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement II alone is sufficient. From (II): Selling price = Rs 2000 with 25% profit on labelled price. This means SP = 125% of labelled price, so labelled price = 2000 × 100/125 = Rs 1600. From (I): Aseem got 20% concession on labelled price, so cost price = 80% of labelled price = 0.8 × 1600 = Rs 1280. Statement II gives us the labelled price directly, and statement I then helps find cost price. Statement I alone is insufficient because we don't know the labelled price.

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