Multiple choice

Directions: In this problem, a question is followed by three statements, labelled as (A), (B) and (C). Read the statements carefully and determine which of them is/are sufficient/necessary to answer the question. What is the labelled price of an HP laptop? (A) Selling price after offering a 4% discount on the labelled price is Rs. 48,000. (B) If no discount were offered, then profit earned would have been 25%. (C) The cost price of the HP laptop is Rs. 40,000.

  1. Only A is sufficient.

  2. Either B and C together or A alone is sufficient.

  3. Only A and B together are sufficient.

  4. Any two of A, B and C together are sufficient.

  5. All of them together are necessary.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A gives SP = 48,000 at 4% discount, so MP = 48,000 / 0.96 = 50,000. B and C together: CP = 40,000, 25% profit means SP = 50,000, which is the MP if no discount. Both paths yield the MP.

AI explanation

Let the labelled price be L. Statement A provides the equation L times 0.96 equals 48000, which directly solves for L, making A alone sufficient to find the labelled price. Statements B and C establish that the cost price is 40000 and the selling price without a discount yields a 25 percent profit, meaning the selling price equals 1.25 times 40000, which is 50000. Because the selling price without a discount is equal to the labelled price, the labelled price is 50000. Therefore, either statements B and C together or statement A alone is sufficient.

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