Question

A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What % profit did he make in the transaction?

• A. 33.33%
• B. 75%
• C. 300%
• D. 150%

Answer 1

The Correct Option is C

To solve the problem, we need to determine the percentage profit made by the trader.

Given:

• The trader sold 100 articles and made a profit equal to the selling price of 75 articles.

Steps:

1. Let the selling price of one article be SP. Therefore, the selling price of 100 articles = 100 × SP.
2. Profit made is equal to the selling price of 75 articles, i.e., 75 × SP.
3. Profit Percentage is calculated as: $$\text{Profit \%} = \left(\frac{\text{Profit}}{\text{Cost Price}}\right) \times 100$$
4. The cost price (CP) of 100 articles can be calculated using the following equation where cost price plus profit equals selling price:
   $$CP_{100} + 75SP = 100SP$$
5. Solving the above equation for CP:
   $$CP_{100} = 100SP - 75SP = 25SP$$
6. Now, calculate the Profit Percentage using the formula:
   $$\text{Profit \%} = \left(\frac{75SP}{25SP}\right) \times 100 = 3 \times 100 = 300\%$$

Therefore, the trader made a profit of 300% in the transaction.