The cost price of an article is 90%of it's selling price what is the profit or loss as percent

Let the selling price (SP) of the article be \( x \).

The cost price (CP) is given as 90% of the selling price, so:
\[
CP = 0.9x
\]

Now, to find the profit percentage, we use the formula:
\[
\text{Profit Percentage} = \frac{\text{Profit}}{\text{Cost Price}} \times 100
\]
Where:
\[
\text{Profit} = \text{Selling Price} - \text{Cost Price} = x - 0.9x = 0.1x
\]

Thus, the profit percentage is:
\[
\text{Profit Percentage} = \frac{0.1x}{0.9x} \times 100 = \frac{0.1}{0.9} \times 100 = 11.11\%
\]

So, the profit percentage is **11.11%**.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the formula for calculating loss percentage?
2. How does profit or loss relate to the cost price?
3. If the selling price increases, what happens to the profit percentage?
4. How do you calculate the selling price if profit percentage is known?
5. Can there be a situation where cost price is more than the selling price? What would it signify?

**Tip:** Always express percentages as decimals when using them in mathematical equations (e.g., 90% as 0.9).

The cost price of an article is 90% of its selling price. What is the profit or loss as percent?

Learn how to calculate the profit percentage when the cost price of an article is 90% of its selling price. This problem covers key concepts like profit, cost price, and percentage. Suitable for students in Grades 6-8.

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