Multiple choice

If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is :

  1. $25\%$
  2. $33\dfrac{1}{3}$ %
  3. $50%$
  4. $66\dfrac{2}{3}$ %
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost of 12 = Selling price of 8. Let CP of 1 pen be 1. CP of 12 = 12. SP of 8 = 12, so SP of 1 = 1.5. Gain = 0.5. Gain % = (0.5/1) * 100 = 50%.

AI explanation

Let the cost price of one pen be C and the selling price be S; the problem states 12 * C = 8 * S. Solving for the selling price gives S = 12C / 8 = 1.5C. Using the profit percent formula ((S - C) / C) * 100, we calculate ((1.5C - C) / C) * 100 = 50%.

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