Question

The cost price of 16 pens is the same as the selling price of 12 pens. The percentage of profit is

• A. \( 33 \frac{1}{3} % \)
• B. 30%
• C. 25%
• D. \( 16 \frac{2}{3} % \)

Hint:

To calculate the percentage profit, use the formula: \[ \text{Percentage Profit} = \frac{\text{Profit}}{\text{Cost Price}} \times 100. \]

Answer 1

The Correct Option is A

Let the cost price of each pen be \( x \). Therefore, the total cost price of 16 pens is \( 16x \). The selling price of each pen is \( \frac{16x}{12} = \frac{4x}{3} \). The total selling price of 12 pens is: \[ 12 \times \frac{4x}{3} = 16x. \] So, the selling price is greater than the cost price. The profit made on selling one pen is: \[ \frac{4x}{3} - x = \frac{x}{3}. \] Thus, the percentage profit is: \[ \frac{\frac{x}{3}}{x} \times 100 = 33 \frac{1}{3} %. \]