Question

If the selling price of 75 articles is equal to the cost price of 90 articles, then find the gain percentage.

• A. 20%
• B. 15%
• C. 25%
• D. 30%

Hint:

Relate total cost price and selling price to find gain or loss per unit and then calculate percentage gain or loss.

Answer 1

The Correct Option is A

Let cost price (CP) of one article = \(x\).
Total CP of 90 articles \(= 90x\).
Given: Selling price (SP) of 75 articles = CP of 90 articles \(\Rightarrow SP_{75} = 90x\).
SP of one article = \(\frac{90x}{75} = \frac{6x}{5}\).
Gain per article = SP - CP = \(\frac{6x}{5} - x = \frac{6x - 5x}{5} = \frac{x}{5}\).
Gain percentage = \(\frac{\text{Gain}}{\text{CP}} \times 100 = \frac{\frac{x}{5}}{x} \times 100 = \frac{1}{5} \times 100 = 20\%\).