1. **State the problem:** We are given that a 15% discount equals 180, and we need to find the marked price (MP). 2. **Formula and explanation:** The discount is calculated as a percentage of the marked price. The formula is: $$\text{Discount} = \frac{\text{Discount \%}}{100} \times \text{MP}$$ Here, Discount % = 15 and Discount = 180. 3. **Set up the equation:** $$180 = \frac{15}{100} \times \text{MP}$$ 4. **Solve for MP:** Multiply both sides by 100 to clear the denominator: $$180 \times 100 = 15 \times \text{MP}$$ $$18000 = 15 \times \text{MP}$$ Divide both sides by 15: $$\text{MP} = \frac{18000}{15} = 1200$$ 5. **Answer:** The marked price is 1200. This means the original price before discount was 1200, and a 15% discount on this price equals 180.