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A man sells 2 articles at the same price. On one he makes a profit of 19% and on the other he makes a loss of 19%. What is his overall profit or loss percentage?Options4.31% Profit   3.61% Loss4.25% LossNo profit no loss

Question

A man sells 2 articles at the same price. On one he makes a profit of 19% and on the other he makes a loss of 19%. What is his overall profit or loss percentage?Options4.31% Profit   3.61% Loss4.25% LossNo profit no loss

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Solution

The man's overall transaction results in a loss. Here's how to calculate it:

  1. Let's assume the cost price of each article is $100 (this makes it easier to calculate percentages).

  2. The selling price of the article he sold at a 19% profit is $119 (100 + 19% of 100).

  3. The selling price of the article he sold at a 19% loss is $81 (100 - 19% of 100).

  4. So, he sold both articles for 200(119+81),butthetotalcostpricewas200 (119 + 81), but the total cost price was 200 (100 + 100).

  5. To find the loss percentage, we subtract the total selling price from the total cost price, divide by the total cost price, and multiply by 100.

    So, Loss % = [(200 - 200) / 200] * 100 = 0%

This means there is no profit, no loss.

This problem has been solved

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