Multiple choice

The C.P. of $10$ pens is equal to the selling price of $9$ pens. Find the profit percentage.

  1. $10$%
  2. $11\dfrac {1}{9}$%
  3. $9$%
  4. $4$%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP of one pen be x. CP of 10 pens = 10x. SP of 9 pens = 10x, so SP of one pen = 10x/9. Profit = SP - CP = 10x/9 - x = x/9. Profit percentage = (Profit / CP) * 100 = (x/9 / x) * 100 = 100/9 = 11 1/9%.

AI explanation

Let the cost price of one pen be Re. 1, making the cost price of 10 pens equal to Rs. 10, which is also given as the selling price of 9 pens. The selling price of one pen becomes Rs. 10/9, so using the profit percentage formula, Profit% = ((10/9) - 1) / 1 * 100 = 100/9%. This calculation results in a profit of 11 1/9%.

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