Multiple choice

If the cost price of 12 pens is the same as the selling price of 15 pens, what is the percentage gain or loss?

  1. 10%, loss

  2. 20%, loss

  3. 25%, gain

  4. 20%, gain

  5. 10%, gain
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost price of one pen be CP and selling price be SP. Given 12*CP = 15*SP, so CP/SP = 15/12 = 5/4. Since CP > SP, there is a loss. Loss percentage = ((CP - SP) / CP) * 100 = ((5 - 4) / 5) * 100 = 20%.

AI explanation

Let the cost price of one pen be Re. 1, making the total cost price of 12 pens Rs. 12. This equals the selling price of 15 pens, so the selling price of one pen is 12 / 15, or Rs. 0.80. Using the loss percentage formula, ((Cost Price - Selling Price) / Cost Price) x 100, we calculate ((1 - 0.80) / 1) x 100, which results in a 20% loss. The result is 20%, loss.

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