Question

The cost price of 100 pencils is equal to the selling price of 60 pencils. The gain percentage or loss percentage is .

• A. 33.33%
• B. 66.67%
• C. 50%
• D. 45%

Hint:

When comparing cost and selling prices for different quantities, convert both to the price per unit to accurately calculate the profit or loss percentage.

Answer 1

The Correct Option is B

If the cost price of 100 pencils is the same as the selling price of 60 pencils, it implies that the selling price per unit is higher than the cost price per unit. The gain percentage can be calculated using the formula: \[ \text{Gain \%} = \left(\frac{\text{SP} - \text{CP}}{\text{CP}}\right) \times 100 = \left(\frac{100 - 60}{60}\right) \times 100 = 66.67\% \]