Multiple choice

If the cost price of two pens is equal to the marked price of one pen and the cost price of three pens is equal to the selling price of two pens, then which of the following statements is correct?

  1. Marked price of four pens is equal to the selling price of three pens.

  2. Discount of 20% is offered on the marked price of the pen.

  3. Marked price of three pens is equal to selling price of four pens.

  4. Discount of 33 1/3% is offered on the marked price of the pen.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP be cost price, MP be marked price, SP be selling price. 2*CP = MP. 3*CP = 2*SP, so SP = 1.5*CP. Discount = MP - SP = 2*CP - 1.5*CP = 0.5*CP. Discount % = (0.5*CP / 2*CP) * 100 = 25%. Also, MP = 2*CP, SP = 1.5*CP. Thus, 3*MP = 6*CP and 4*SP = 6*CP. So 3*MP = 4*SP.

AI explanation

Let the cost price of one pen be C, which makes the marked price 2C based on the first condition. The second condition states 3C = 2S, meaning the selling price is 1.5C. To check the third statement, multiply the marked price by 3 to get 6C, and multiply the selling price by 4 to also get 6C. Therefore, the marked price of three pens equals the selling price of four pens.

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