The cost price of 12 pens is equal to the selling price of 9 pens. Find the profit percentage.

Correct option is C

Given:

Cost price of 12 pens = Selling price of 9 pens

Formula Used:

Profit percentage = $$\left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100$$​​

​Solution:​

12 × CP = 9 × SP 

​$$\frac{CP}{SP} = \frac{9}{12} = \frac{3}{4}$$ 

CP = 3 unit, SP = 4 unit 

Profit % = $$\left( \frac{4 - 3}{3} \right) \times 100 = 33\frac{1}{3}\, \%$$​​

Thus, the profit percentage is 33⅓ %.