Profit Articles 0Bdf8E

1. **State the problem:** The cost price (CP) of 20 articles equals the selling price (SP) of $x$ articles. The profit is 25%. We need to find $x$. 2. **Formula and rules:** Profit percent is given by $$\text{Profit \%} = \frac{\text{SP} - \text{CP}}{\text{CP}} \times 100$$ 3. Let the cost price of one article be $C$. Then, cost price of 20 articles is $20C$. 4. Since profit is 25%, selling price of one article is $$SP = C + 0.25C = 1.25C$$ 5. Selling price of $x$ articles is $$x \times 1.25C = 1.25xC$$ 6. Given that cost price of 20 articles equals selling price of $x$ articles: $$20C = 1.25xC$$ 7. Cancel $C$ from both sides: $$20 = 1.25x$$ 8. Solve for $x$: $$x = \frac{20}{1.25}$$ 9. Simplify: $$x = \frac{20}{\cancel{1.25}} \times \frac{\cancel{1}}{1} = 16$$ **Final answer:** $x = 16$