A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percentage is-

<h2>Question: A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percentage is-</h2><h3>Choices</h3>

• No profit, no loss

• 20% profit

• Less than 20% profit

• More than 20% profit

The correct answer is: More than 20% profit

<h3>Explanation</h3>

Let us consider the following to understand the problem more clearly:

• Let the value of the article be \( V \).

• The man buys the article at 10% less than its value.

• The man sells the article at 10% more than its value.

<h3>Mathematical Calculation</h3>

First, we determine the cost price (CP) at which the man buys the article:

$\[ \text{CP} = V - \left(\frac{10}{100} \times V\right) = V - \frac{V}{10} = V \left(1 - \frac{1}{10}\right) = V \times 0.9 \]$

Next, we determine the selling price (SP) at which the man sells the article:

$\[ \text{SP} = V + \left(\frac{10}{100} \times V\right) = V + \frac{V}{10} = V \left(1 + \frac{1}{10}\right) = V \times 1.1 \]$

Now, we can calculate the profit:

$\[ \text{Profit} = \text{SP} - \text{CP} = V \times 1.1 - V \times 0.9 = V \times 0.2 \]$

The profit percentage can be calculated as follows:

$\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100 = \left(\frac{V \times 0.2}{V \times 0.9}\right) \times 100 = \left(\frac{0.2}{0.9}\right) \times 100 \approx 22.22\% \]$

Thus, the man makes a profit of approximately 22.22%, which is more than 20%.

<h3>Conclusion</h3>

From the above calculations, it is clear that the profit made by the man is more than 20%. Hence, the correct choice is More than 20% profit.