At what price should Sonu sell an article if he wants to earn 10% profit on the selling price

To determine the price at which Sonu should sell the article to earn a 10% profit on the selling price, we need to consider the following:

Let the selling price be $ S $.

Sonu wants a profit of 10% on this selling price, so the cost price $ C $ must be 90% of the selling price (since the remaining 10% is the profit).

Thus,
\[
C = \text{90% of } S = 0.9S
\]

To find the selling price $ S $, we rearrange the equation to solve for $ S $:

\[
S = \frac{C}{0.9}
\]

So, Sonu should sell the article at a price $ S $ that is equal to $ \frac{C}{0.9} $, where $ C $ is the cost price of the article.

### Example Calculation:
If the cost price $ C $ of the article is $100, then:
\[
S = \frac{100}{0.9} = 111.11
\]

Therefore, Sonu should sell the article for $111.11 to earn a 10% profit on the selling price.

Would you like further details or have any questions?

### Related Questions:
1. What if Sonu wants a 20% profit on the selling price?
2. How does the calculation change if he wants a profit based on the cost price instead?
3. What is the formula for finding the selling price if the profit percentage is given?
4. If Sonu knows the desired profit amount, how can he determine the selling price?
5. What if Sonu's cost price is unknown but the profit percentage and selling price are given?
6. How does a loss percentage affect the selling price calculation?
7. What if multiple discounts are applied before the selling price is finalized?
8. How does inflation impact the selling price and profit percentage over time?

**Tip:** Always distinguish between profit calculated on the selling price versus the cost price, as the formulas and outcomes differ.

Learn how to calculate the selling price to earn a 10% profit with detailed step-by-step solution. This problem involves profit and loss calculations based on percentages. Suitable for students in Grades 6-8.

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